So many entry-level explanations of quantum mechanics start with classical physics, waves, particles, the double-slit experiment, etc. and then jump straight to infinite-dimensional Hilbert spaces. In my opinion, there's way too much conceptual baggage that comes with these concepts [0].
As a non-physicist, QM only clicked for me when I learned the linear algebra of one- and two-qubit systems and observables on those systems [1]. The math is accessible at a pre-calculus level, and the most "counter-intuitive" aspects of QM (interference, the uncertainty principle, entanglement) make perfect sense in this framework. I think it's the best starting point for understanding what QM really says.
[0] That's not to say they aren't important historically or for a complete understanding of QM. I'm talking about conceptual understanding for someone, especially an amateur, encountering QM for the first time.
[1] Chapter 2 of Nielsen and Chuang is what did it for me. It's heavygoing if you've never seen linear algebra before, but I don't know of a clearer explanation of the postulates of quantum mechanics.
Nielsen and Chuang's "Quantum Computation and Information" Chapter 2. (Available online, but legality depends on where you live)
If you're interested primarily in QM rather than linear algebra, I'd recommend not working through all of Axler, but instead using Nielsen and Chuang to learn about qubits and observables, and using Axler to fill in the gaps.
"A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry" by Peter Szekeres has several chapters on linear algebra early on, starting with sets and groups and including tensors (which you absolutely need for QM).
not sure about its specific applications to quantum mechanics, but I worked through MIT OpenCourseWare's Linear Algebra class (taught by Gilbert Strang) and I thought it was amazing. The lectures are very very good.
If we've learned anything from modern physics, it's that our regular intuitions are often wrong. The framework makes perfect sense mathematically, and it makes the right predictions experimentally. It's still controversial how exactly the framework relates to reality, which is where you get into interpretations of quantum mechanics.
One of my favourite examples of this pedagogically is how kinetic energy is quadratic with velocity. It's easy to tie into things people think they understand, like braking distance. Our intuitions are wrong even in shockingly simple problems.
The dialogues of the author engages with various personas and the reader that are interspersed as Prelude and Interludes are really enlightening.
For example:
Classical Physicist: Can one seriously speak about an object without having an idea of what it looks like? Isnât it strange that we study, for example, the behaviour of an electron in a crystal while we donâ t even know what an electron actually is?
Author: I donât agree that we donât even know what an electron is. I have just indicated a number of precisely determined characteristics and properties of an electron. More detailed properties of microparticles in general and electrons in particular were considered in the preceding sections of the book (and will be considered in the following sections). In fact, we know quite a lot about the electron and know, in particular, about its behaviour in a crystal. This is evidenced by the large number of semiconducting devices fabricated and used by us in practice. As you will see, the absence of a âphysically intuitiveâ model of the electron has in no way turned out to be a serious obstacle. We may even go a step further and state that an understanding of natural phenomena in which Planckâs constant plays an important role is possible only through a significant rejection of a graphic description. By the way, this idea was given by Heisenberg, in whose works much attention was given to questions of the use of physically intuitive methods.
Classical physicists had conceptual difficulty when something stopped behaving as "body" even macroscopically. For example when they tried to determine coefficient of friction of pure coper, throughly cleaned, in vacuum to prevent any oxidation, the surfaces cold-welded together. The copper did not get the memo that it is supposed to be two physical bodies.
Somewhat related: a book that really helped me is Picturing Quantum Processes
by Bob Coecke. It's a visual representation of quantum processes, which really helped me understand the concept
It stands out as not too common a sight for books, so having two like this, more or less in the same style, on the same topic, both posted in this thread, is amusing. Maybe it's not that rare and I'm just not reading enough books from academics for whom a book is like a weird long paper with hand-holding for amateurs.
Finished reading this book not too long ago, one of my top three textbooks. An absolute joy to read full on great insight.
Not sure how it feels to a beginner, but to someone with a good deal of familiarity in the field it put everything in such a nice tight conceptual package.
"This rather fanciful interpretation of Quantum Physics has now become accepted by many theoretical physicists as being more satisfactory than the Copenhagen interpretation, despite the fact that the mechanism which causes the splitting of the Universe is not explained in any more detail than wavefunction collapse. As you can probably tell, I am in the minority of physicists who finds the Many Worlds interpretation dificult to accept, and not particularly illuminating."
I think these lectures are a good intro to QM. This statement feels very emotional though. Many-worlds just states there is no such thing as wave function collapse. The many worlds are a logical conclusion following. Copenhagen simply refuses to elaborate to when wave-function collapse happens, which to me is not a complete theory.
You could have some critique of many-worlds in relation to statistics, although I think many people have given quite satisfactory explanations.
Many worlds is just bare bones QM.. If any other theory is proposed, it should be falsifiable (like pilot wave theory for example). Doesn't mean it won't be difficult to measure.
My interpretation of the interpretation is that the universe is a giant constraint resolution system. Particles are free to be anywhere randomly as long as they do not randomly interact with other particles. As soon as they interact they have fewer "degrees of freedom", since now they interacted. When they interact with anything macroscopic they have no freedom left. Makes sense to me anyway.
Decoherence isn't an interpretation, but an experimentally established fact. What makes interpretations interpretations is that they cannot be experimentally distinguished (or in some cases, can only be with great difficulty). That said, the study of decoherence has certainly made aspects of the measurement problem easier to come to terms with, which in turn has bearing on the intuitive draw of some interpretations over others. In particular, it helps answer when universes should be said to "split" in MWI (though, as many will rightly tell you, that's not a complete solution to the measurement problem, as decoherence is still unitary--i.e., there's no in-principle irreversibility there).
Decoherence gets you a diagonal density matrix description of the world. It doesn't get you a single-state description of the world. Going from "There are many parallel universes" to "and we are in one of them" still takes a lot of handwaving.
But we're not in one of them. We're in all of them. Yours is a misunderstanding of how it feels to be in a quantum superposition. There's no component of the wave function in which Schrodinger's cat experiences anything other than being alive or being dead. There's no component in which it feels like it's in some ghostly combination of both outcomes. Both components of the wave function exist in superposition, and to the extent that they are decoherent, they do not interact and do not even notice that they have company. I don't mean this only as an academic statement; it's also true of you and me, at this very moment.
Not a perfect analogy, of course, but people have competing intuitions of what to do when the map fails to match the territory. MWI abandons the latter, most prefer the former.
- That humans can't be put into quantum superpositions, or
- That a human being in a quantum superposition of two states A and B would feel at all to that human like being in a quantum superposition of two states A and B, when neither of those states is "a human feeling like they're in a superposition of two states A and B".
Follow this to its conclusion, and you end up with a superposition of A and B meaning: "the universe is in a superposition, containing a component where a human believes that they're in state A, and a component where a human believes that they're in state B. Within both branches, the human thinks their wavefunction collapsed in that state". This is exactly the way that all interpretations of QM already understand things to work with particles in superpositions.
Decoherence only hides entanglement by having the entire world go into a complex superposition. It's entirely compatible with MWI. Decoherence does not resolve the measurement problem on its own. It's not a separate interpretation. It only provides us a mathematical reason for why the world appears classical.
Many-worlds is an interpretation and not a theory. It makes no additional predictions beyond what QM does.
Believing in any interpretation (or shutting up and calculating) is purely emotional; it has no scientific content.
(Disclaimer: I'm nowhere near truly knowledgeable about any of this)
Quantum computing was explicitly proposed as a way to prove the truth of many worlds. As far as we can tell, quantum computing appears to work.
I don't think most people believe QC truly proves many-worlds, but I think it is considered some evidence in its favor, and historically it was I think one of the reasons for the development of QC originally.
I've heard this claim, but I don't think it holds up. The idea is that supposedly the calculation is done in parallel across the different universes which allows you to see an exponential speedup in some calculations. But the whole point of many-worlds is that after a branch event the various branched portions of the wavefunction no longer interact. Even if it were true that quantum computing was really a bunch of parallel classical computations (which it is not), there would be no way for any of the other universes to communicate the result back to the universe you observe it in.
Many worlds doesn't really feature 'hard branches'. In fact the interpretation is pretty specific that quantum interactions becoming de-correlated and stopping to react is the mechanism by which you get the 'many worlds', and this is a soft and messy process not some global hard split.
OTOH, I don't think any of the other interpretations really struggle to explain quantum computing so I agree it's not much of a distinguishing factor.
But if what you want is understanding, you want a good explanation. (Or to quote TheOtherHobbes from elsewhere in these comments, a reasonable metaphor: https://news.ycombinator.com/item?id=50220700)
If you only like predictions and disparage explanations, I might start calling you names, specifically instrumentalist.
Here you are taking "good explanation" and combining it with the term "just so story" which indicates a bad (arbitrary) explanation. So you cast doubt on the idea that explanations can be good. What's this, sabotage?
It has mathematical and philosophical content. People can be convinced for reasons other than empirical without it being emotional. Sean Carroll makes logical arguments for why he's convinced MWI is correct.
I'm not Sean Carroll. I'm interested in logical arguments for why I should be convinced that something completely impossible to ever test, not even in theory, is correct.
How do you test whether the dinosaurs once existed as living animals, vs as fossils that were embedded in the Earth when the universe began 6000 years ago?
Because I only believe one of these propositions, even though I can't imagine any test that would discriminate between the two.
The quantum world involves states that are a complex linear superposition of all possible states. It isn't just that the world bifurcates into one where the cat is |alive> or |dead>, but also all c1 |alive> + c2 |dead>, where c1^2+c2^2 = 1 and c1 and c2 are complex. The MWI has no explanation for how this other infinity of possible states disappears into just two states. You still wind up with the collapse of the wave function--involving a lot of hand-waving or appealing to some nebulous property of consciousness.
>The MWI has no explanation for how this other infinity of possible states disappears into just two states. You still wind up with the collapse of the wave function--involving a lot of hand-waving or appealing to some nebulous property of consciousness.
The real issue here is the preferred basis problem, not an infinity of worlds: a single state vector can be decomposed many ways, and the bare math doesn't say which decomposition counts as "the branches." Decoherence picks it out: once the cat is entangled with its environment, the alive/dead decomposition becomes effectively unique and stable, through ordinary unitary dynamics. No collapse, no consciousness (that's von NeumannâWigner, not Everett). MWI does have an open problem, but it's a different one: the Born rule, i.e. why |c|^2 should count as probability when every branch is real. Also, the normalization is |c1|^2 + |c2|^2 = 1.
No, it explains that well enough, it just struggles to explain why you would expect to see the collapse with the probabilities that you do (though, to be fair, most other interpretations don't presume to explain this at all, it's just a rule. MWI just reframes it in a way that makes it odd that there is a rule).
Given we havenât bridged quantum with gravity yet, my bet is the function collapses right at the boundary when gravity starts to play a meaningful role.
Thatâs a more physically plausible interpretation than ever âtickâ of the universe actually creates infinitely more universes because every fundamental particle is quantum and each one is constantly interacting under the wave function every plank second. And the infinite number of possible events that a single particle would experience is multiplied by the joint combination of all particles in the entire universe. It doesnât seem plausible.
How would you define exactly âwhen gravity starts playing a roleâ. It always plays a role, from photons to planets.
And on the âevery tick creates more universesâ: we are completely fine with superposition in nanoscopic systems. Itâs just uneasy to follow that conclusion to the logical end. Just my two cents. I think just because the conclusion seems hard to grasp, the reasoning to get there is completely sound..
âStarts to play a roleâ means when the effect of gravity becomes significant to the quantum equations which currently donât have any placeholder for gravity.
Just like Newtonâs equations are accurate to describe gravity and motion but only because the full equations Einstein worked simplify to them at small speeds.
So similarly it would make more sense that quantum equations and relativity are two sides of the same coin and thereâs some missing mathematical bridge where at small particle sizes it simplifies to quantum and at large particle scales gravity matters and we get Newton and then further relativity.
Using Occamâs razor thatâs at least my prior vs some undefined mechanism of action where all possible interactions of every particle actually creates an infinite superposition of universes where that did happen and you get an infinite number of such superpositions ad infinitum. Much easier to believe the huge gaping hole between two very accurate theories explains how quantum mechanics turns into classical mechanics, especially since we know gravity exists, what it is, and quantum mechanics canât explain gravity.
The place where quantum and gravitational effects are thought to become significant to one another is at energy levels that cannot be obtained in our experiments, either in the lab or through astronomical observation.
I'm just an old industrial physicist, but as I understand it, quantum gravity has yielded no testable predictions so far, and neither have multiple-worlds theories.
I never said anything about quantum gravity. String theory is also trying to bridge things. But many worlds is pointing to a gap in the math and claiming god. All Iâm saying is we donât have any model or math and many worlds is the more fantastical explanation.
Many worlds is a philosophical interpretation akin to god. It doesnât add anything to our understanding and instead invokes some kind of supernatural untestable phenomenon.
When the future has multiple instances of you, it becomes problematic to define what the Born rule means.
For example, "Many Worlds, the Born Rule, and Self-Locating Uncertainty" notices that the rule doesn't mean anything, but it is rational to behave like it does. It's not a very satisfying position, I'd say.
Yes. Many worlds is just the Schrödinger equation without the wave function collapse. It makes less assumptions. Falsify the Schrödinger equation, and you have falsified many worlds. However, is the wave function collapse falsifiable? It's one postulate which many worlds doesn't make, and it cannot be confirmed or falsified by experiment.
> Many worlds is just the Schrödinger equation without the wave function collapse.
It is not, it is the Schrödinger equation plus an extra rule that says that classical observers are only certain kinds of quantum states. There's no explanation in the MWI for why a device never reads out that a particle is 1/sqrt(2) |here> + 1/sqrt(2)|there>, even though that is exactly as probable a state as being |here>. And it turns out that this is exactly equivalent to positing wave function collapse / the Born rule.
And no, decoherence has nothing to do with this. Decoherence explains why there is no observable interference at the classical level between these states, not why you can only observe some states.
This is known as the preferred basis problem, for anyone who wants to read more about it.
This is not what falsifiability means in the Popperian sense. You are confusing falsifiability of a theoryâs predictions with falsifiability of an additional claim of what those theories mean. We might as well say that the simulation hypothesis is falsifiable because the laws of physics govern our simulated universe, so if you can falsify those laws you can falsify the simulation hypothesis. That being said, the concept of falsifiability is not without its weaknesses.
>Any good scientific theory must create falsifiable hypotheses.
For any behavior inside the world, this is good.
But for the world itself and what harbor's it, asking for falsifiability is like measuring the expansion of space using a ruler that inhabits the same space.
Even science, that works in terms of cause and affect, which implies space and time, cannot be used to describe space and time itself.
Vanilla "scientists" have been trying to do that, but that is a dead end.
> But for the world itself and what harbor's it, asking for falsifiability is like measuring the expansion of space using a ruler that inhabits the same space.
Which exactly is what general relativity is centrally about and the reason why general relativity is defined in terms of intrinsic properties of the Einstein manifold describing the space of the universe. Intrinsic properties are, colloquially, indeed properties that can be measured "using a ruler that inhabits the same space".
GauĂ' Theorema Egregium [1] is an early predecessor of intrinsic properties of general manifolds, and says that the curvature of a surface can indeed be "be determined entirely by measuring angles, distances and their rates of change on a surface, without reference to the particular manner in which the surface is embedded in the ambient 3-dimensional Euclidean space" ([1]).
Also why LIGO works but Michelson-Morley failed: you can use the ruler distortion as a signal, with some caveats.
In LIGO, we detect the far away distortions propagating through our rulers and the differential effect of those waves.
But Michelson-Morley failed because the ruler distorted synchronously with the signal we tried to measure â since we mistakenly believed EM and matter were different fields.
> How are general-relativistic effects relevant for the outcome of the Michelson-Morley experiment?
General-relativistic effects are relevant for the outcome of the Michelson-Morley experiment in the sense that the general theory of relativity is a generalization of the special theory of relativity. :-)
Otherwise: the additional predictions that the general theory of relativity makes about gravity, curvature of space etc. are not relevant for the outcome of the Michelson-Morley experiment.
> Yea, that is why we are not getting any where...
Which alternative way of doing measurements do you propose? As far as I know, measuring intrinsic properties, i.e. "using a ruler that inhabits the same space" is with our current technology the only possible way of doing measurements.
Assuming that we are trying to understand the ground truth about existence by doing these measurements, may be we can acknowledge the limitation and stop trying to do it. Then we can be open minded and stop being hung up of the idea of "falsifiability", and could come up with or give more consideration to radically different hypothesis that we might come up with alternative measurements that we could make, that can prove or disprove them.
So time extending into the future is not a useful hypothesis? Space continuing beyond the cosmic horizon is not a useful hypothesis? The past entropy of the past being arbitrarily low (vs what is essentially last tuesdayism) is not a useful hypothesis?
Time extending into the future is validated by direct experience.
A continuum of variants of myself is bought.
What is the value of assuming that literally every possible trajectory actually happens, but somehow I am only in one of them, while also being a continuum of other ones? If everything is true, than nothing is true.
If time did not continue into the future, it would not be observable. Therefore hypothesis that it will continue to do so is not disprovable.
As far as multiverse goes, there isn't any inherit value in assuming that the wavefunction as given actually happens, it's just a simpler explanation than trying to come up with (arguable unprovable) ways to cull the wavefunction.
The Copenhagen interpretation doesn't even deserve to sit with the other interpretations because it's not well defined. It's protoscience, like alchemy.
"Many-worlds just states there is no such thing as wave function collapse" is the emotional statement. The contempt for many-worlds is both principled and rational.
Many worlds as real ontology are just as wild as saying their is a God. Physicists are thus making claims that just as wild as the theologians .. I find this fascinating.
Just like the AI nerds and the AGI singularity or Musk saying we are in simulation...
ie so many crazy ideas.. for the rationalist, its like being in an insane asylum and trusting one mental patient or another..
I suppose at some level its just not rational why we exist. We must accept some wild, fundamental metaphysical assumption
I think a common mistake when approaching MWI is reading too much into it. These Other Worlds "exist" in similar sense to the number i. MWI does _not_ claim anything about there being infinite alternative equivalent planes of existence where these physically manifest or anything like that.
Sharing in case useful for someone. Started getting into this subject in 2015, and full disclosure: I'm no physicist by any means. Without the formal background, the math and concepts were really hard to conjure and comprehend purely from the page, so I built an interactive self-study guide to "feel" the equations from Newton to holography. https://apples-to-entanglement.jasonrys.com/
Regarding questions of what how measurement relates to schrodinger time evolution:
https://arxiv.org/abs/quant-ph/0503009 . I think it is absolutely astonishing that many physicists do not know this.
Second this book, but you need a source before this to study QP successfully. This requires a lot of UG maths and physics knowledge that I think most would not have.
But I do believe that is atleast in part Feynmans point. The way we have explored QM for the past... 120 years (? Wow is it really that old!?) is you don't need to understand it, here are the rules and tools to carry out extraordinary calculation.
I believe the likes of Sean Caroll are trying to bring understanding back to physics and meet philosophy.
It really depends on your goal. If you wish to use it day to day then you do need to understand it but yes you can use the handy Dirac notation to let you calculate lots without ever going too deep.
See also, Atomic Physics for Everyone: An Introduction to Atomic Physics, Quantum Mechanics, and Precision Spectroscopy with No College-Level Prerequisites. - https://news.ycombinator.com/item?id=46961595
In a podcast, Alain Aspect (Nobel Prize winner) explained that he does use the power of visualization and his imagination to generate new ideas, but that he always needs to check them with actual calculations because no mental picture can be an accurate representation of quantum physics.
That pre-determined value idea is exactly local hidden variables, and Bell's inequality rules it out, Aspect's 1982 CHSH experiment measured the violation.
To be precise, Bell's inequality rules out a local hidden variable theory. Pilot wave theories/Bohmian mechanics is an attempt to describe a nonlocal hidden variable theory of quantum mechanics.
Intuitive notions of âweirdâ arenât necessarily a good guide here. We already know time doesnât behave the way we intuitively imagine, because of relativity: there canât be universal agreement on what is past, present, or future. Once youâve accepted that, retrocausality seems much less strange.
Similarly, superdeterminism is simply the application of the determinism that was believed to apply to physics before QM, to QM itself. In a way, one might have expected it to be the default interpretation.
No? Superdeterminism says that thereâs no way to pick your experimental choices in a way that reveals things because any possible random number sources you could use have contrived correlations that prevent that? Why would one ever consider that as âthe defaultâ?
The strong belief before QM was discovered was that the universe was deterministic - that given sufficient knowledge of a physical system's present state, you could accurately predict its specific future states (not just possible future states.)
Laplace expressed this in "A Philosophical Essay on Probabilities" in 1814: "We ought then to regard the present state of the universe as the effect of its anterior state and as the cause of that which is to follow. [...] For [an intelligence that has sufficient information] nothing would be uncertain, and the future, as the past, would be present to its eyes."
Superdeterminism essentially extends this idea of deterministic physical evolution to quantum mechanics. It could be considered an appropriate default simply because it was previously considered to be, not only the default, but the strongly believed truth.
> Superdeterminism says that thereâs no way to pick your experimental choices in a way that reveals things because any possible random number sources you could use have contrived correlations that prevent that
You're arguing against a consequence of superdeterminism, not its motivation. Its motivation is as I've described.
The word "contrived" is doing some heavy lifting in your statement. Nothing needs to be contrived in superdeterminism, even if it seems that way to an observer within the universe.
The explanatory problem you've alluded to only arises because we're trying to understand the universe from within the universe. The universe is under no obligation to make itself sensible to us.
Essentially, you're saying little more than that you don't like the idea of superdeterminism.
I've got a feeling that our intuitive ick around spooky action at a distance is due to out intuitive view on locality and the nature of space, maybe time too, being wrong. IOW remote is really not remote.
Perhaps we've got it backwards and quantum entanglement is what defines "locality" rather than mysteriously existing in the face of it.
I don't understand the superdeterminism idea. Wasnât that already the classical/Newtonian view - that everything was predetermined, a universe of billiard balls following their destiny exactly?
No, they are completely different. Determinism is the idea that if you have a perfect snapshot of the universe at one time, you could run that snapshot forwards or backwards using the laws of physics and have a complete history of the entire universe. It's a valid scientist idea, but Bell's Inequality experiments pretty much prove it false by showing that either realism or locality is false, and you kind of need both to have determinism.
Meanwhile, superdeterminism is the idea that you can still have realism and locality by claiming that Bell's Inequality experiments are invalid because the universe could somehow "know" you are performing a Bell's Inequality experiment and rig it to get the "wrong" answer. Superdeterminism is equivalent to saying that we can't prove smoking causes lung cancer, because the universe might rig any science experiments to make it look like smoking causes cancer. Anytime you ask why the universe would do that or how you can prove anything in such a universe, they shrug their shoulders. It's a completely BS idea that got traction because specific people pushed it and others don't understand quantum physics enough to know how unserious of an idea it is.
Newtonian is just plain determinism. One thing causes another, but does not imply things are fixed in any particular way.
Superdeterminism implies that things are fixed in advance in such a way that the things we "choose" to measure always looks as if there are no local hidden variables (e.g. Bell's inequality) even though there are.
You can imagine the general idea by imagining the state space of a bunch of billiard balls: their position and velocity in a 6D space.
This is a metaphor and not the state or experiment that superdeterminism seeks to answer. I am also speaking well outside the areas of physics I was trained in. So huge grain of salt.
In classical determinism, the trajectories of all billard balls can be derived precisely from their initial conditions. Due to sensitivity to initial conditions and our ability to know them precisely, we can see chaotic mixing behavior where the trajectory of even two billiard balls that start at nearly the same place become more and more uncorrelated as time goes on as they bounce around and into each other. One expects that many accessible observables and functions loose detectable correlations as this billiard ball universe goes on and the billiard balls go on to roughly fill the full 6D state space up to conservation of momentum.
Now imagine the weirder scenario, that there exists some function and statistical comparison you can make between state variables from sets of billiard balls. Although these state variables themselves seem uncorrelated after enough time has passed, there are these properties that always hold with perfect correlation even after infinite chaotic time bouncing around. The points in state space that the balls cover is restricted to some manifold where these statistical properties are true when checked. The system cannot evolve in a way where those correlations of bulk quantities would disappear.
In this toy metaphor itâs not so horrifically odd. Superdetermism gets more flak because: (i) the state space and property in question is so much weirder and more complicated than the kinematic example, the correlations are between objects that measure and the objects being measured! (ii) if these properties are always true under any check we can make there is no way to falsify. Then it doesnât matter if the behavior is from some unimaginable underlying universal state space geometry or local quantum effects. This same argument could also be applied more generally and inappropriately to reduce any experiment to âthatâs just the way the structure of the universe isâ.
It's quite deeply weird. It's basically looking at the seemingly impossible correlations that occur in quantum mechanics and saying that they happen because the decision about what to measure is correlated with the state of the system somehow (Bell's inequality assumes that these are independent). This is very strange in a universe where we apparently could base that decision on many different seemingly unrelated processes. (including processes that have been causally seperated for near the lifetime of the universe, e.g. by choosing the measurements based on noise in the CMB).
Unfortunately, this work perpetuates the misunderstanding of Bell's theorem and its implications with respect to hidden variable theories. See the Scholarpedia article on Bell's theorem for an in-depth discussion, including quotes from Bell himself, deeply frustrated at the misunderstanding.
I started to read from "3.1 The Ultraviolet Catastrophe" and this sentence
"The number of different wavelengths of electromagnetic radiation, N(λ)dλ, with wavelengths in a small interval between λ and λ + dλ, (dλ means a small interval in wavelength) can be shown to be proportional to 1/λâŽ."
doesn't make sense. It should not talk about a number of wavelengths, but the number of allowed standing-wave modes (number of eigenmodes that a mathematical solution to the electric field in the relevant situation has) in the small wavelength interval.
I used to struggle with quantum physics- in the same way many others do- in that the model is not intuitive to people who think in terms of billiard-ball physics. But, I think it's clear at this point that all the observable data from well-run experiments supports QM better than the alternatives. IN particular, the observation of matter waves and double-slit experiment on atoms were what finally made me accept it. Entanglement doesn't make any sense to me, but I'm assured it can't be used to transmit information faster than the speed of light, so I can live with it :)
How strange to see a familiar name here! I wasn't his PhD student but worked in the same department as Douglas Ross, and can only say that he was warm, extremely intelligent, with a very strong natural intuition about high energy physics, enjoyed puzzles, and wouldn't shy away from quizzing people giving talks. I remember he had a back and forth with a visiting speaker for about 20 minutes on some minutia!
I don't have much to add on the article itself except that it's almost certainly worth reading.
I loved the book QED: The Strange Theory of Light and Matter by Feynman as a child. Funny enough I always saw QM from a path integral PoV, a decade before I got to learn the formalism
"I have used many photos and drawings which I have found on the Internet, and in many cases the source of such photos and drawings is not clear. I have assumed that images which appear on the Internet are in the public domain and do not need to be individually referenced."
I've always said (and been duly downvoted for it), "Don't want people to take it and reuse it? Don't put it on the Internet."
Sadly, being right about something like that does not, in fact, automatically entitle me to founders' shares in OpenAI or Anthropic. But I'll keep preaching it, nonetheless.
I take issue with "understand". I agree QM can not be understood in terms of everyday experience. One must build experience, language and proper metaphor for the understanding. For example, in the intro Ross uses the example of explaining a waterfall to someone who never saw it. He says that can be done but he relies on implicitly the listener knowing what people on Earth may take for granted. That understanding of a waterfall can only happen if the listener already has some understanding of fluid flow and gravity. We do, but say a newly found alien friend from a dry environment that had never experienced fluid flow would not have the mental building blocks to understand it. Feynman gave a famous interview where he said, essentially, "no, I can't explain it to you because you are too ignorant" (he said it more politely). Going the other direction, Physics steeped enough in quantum theory do understand QM enough to have meaningful discussions free (at times) of rigorous math. They do this because they have a shared language, vocabulary, metaphor. Sure, they must rely on math and experiment to ground that understanding in truth but I guarantee they do not communicate understanding (solely) in math and measurement data.
"I really can't do a good job, any job, of explaining magnetic force in terms of something else you're more familiar with, because I don't understand it in terms of anything else that you're more familiar with"
His point was that fundamental forces cannot be understood as "like" everyday objects, because we don't "understand" everyday objects except as applications of fundamental forces. Using those things to explain fundamental forces would just be circular. He can tell you that a stretching rubber band is due to the electric field, but he can't then turn around and "explain" that the electric field is like a stretching rubber band!
Fundamental forces just are, and you understand them by studying them.
A useful analogy might be understanding quantum mechanics versus understanding a computer. In the early days of computing, an engineer might plausibly have known every component in a computer, understood how these components worked, and understood why each one was there. As computers got more complicated, no longer could anyone understand the entire system on that level. But still, as an individual engineer, you can understand the system at a high-level, and for each lower-level component, you can have an approximate idea of why it's there, what it does, and how to learn it in more detail if you ever have to. Any "why" question that you might have about it has a straightforward answer that can be stated in a few sentences.
With quantum mechanics, there's a lot that you have to accept when you learn the subject without understanding why. Why complex numbers? Why infinite-dimensional Hilbert spaces? Why non-commutative algebra? You can kind-of, with great effort, make arguments that all of these are at least reasonable. But nobody really understands "why" at a level beyond "because the theory works".
Thatâs not the meaning of âunderstandâ that was being used. This article points out that nobody understands QM well enough, not even the experts. (Do note the author is an expert!) By âI Donât Understandâ, what he actually means is that QM is incomplete in the same way that Newtonian Mechanics is incomplete; it doesnât explain physics well enough to understand or explain whatâs really there. This is, of course, why thereâs an ongoing debate among the experts about what QM even means and how to interpret it.
You can imagine waterfall of sand - the fluidity here comes from all those small sand particles moving simultaneously.
>>>Physics steeped enough in quantum theory do understand QM enough to have meaningful discussions free (at times) of rigorous math.
That sounds a lot like gate keeping and has no actual backing - to understand QM you still need to understand Physics, as mechanics of both of them are explaining each other - the scale is the only difference.
The idea is that you can discuss using hand waving while drinking coffee, but after that you must write the complete mathematical calculation, so there is no gate keeping.
Most of the times the formal version with equations agree with the hand waving, but sometimes you have nasty surprises and must learn to hand wave better.
With the meaning that Feynman meant it was true then and now. From QED:
>The next reason that you might think you do not understand what I am telling you is, while I am describing to
you how Nature works, you won't understand why Nature
works that way. But you see, nobody understands that. I
can't explain why Nature behaves in this peculiar way.
Quantum _mechanics_ cannot be understood, it is full of paradoxes. It contradicts classical EM and special relativity, among other things. A toy theory that was an important step to what came later.
Feynman's own QED is a part of QFT, but this is no longer quantum mechanics. Special relativity and quantum physics are reconciled since then. Now, we only need to reconcile GR and QFT, but this leap was so far beyond our attempts to scale it. Yet, QED/QFT/SM can be "understood" as there are fewer obvious paradoxes that plagued QM.
Unpopular opinion I think, but I still believe the physics world was wrong to chase the Copenhagen interpretation.
The math does indeed work, and many experiments and practical uses seem to show that there is something to quantum broadly. But to throw determinism out the window and believe that quantum is fundamentally probabilistic, and that one can never really run scientific experiments because observing state collapses superposition, has always seemed asinine to me.
I could be completely wrong, but it's always seemed obvious to me that the need for probabilities in quantum is a clear indicator that something is missing in the theory. I'm never surprised when a person can't understand quantum as its described today.
It's completely counterintuitive, but that's how it works experimentally. For example:
Measure the spin of electrons in direction X (that's done with a weirdly shaped magnet). You'll get either +1 or -1 in a conveniently chosen unit system. That's already weird, you'll never measure +0.5 for example. Keep only the +1 electrons. You can measure them again and again, you'll always get +1 in the X direction.
Now measure those electrons in the Y direction, you'll also get either +1 or -1.
But now, if you measure in the X direction again, you'll get +1 or -1 with 50% probability; although before measuring in the Y direction, these electrons always had spin +1 in the X direction.
Oh I get that experiments prove out. What has always been unintuitive to me to the point of seeming wrong is that said spin is random and lives in a probability cloud that is probabilistic only until we observe it.
The math works and the experiments work, but it feels like a broken clock situation. It happens to correlate well, but the understanding and models are missing something in the actual underlying physics that, if understood, would throw the whole randomness part out the window.
> [the] spin is random and lives in a probability cloud that is probabilistic only until we observe it.
My mental model of it is kinda reversed. The maths assign a specific, deterministic state to each electron between each measurement. However, the "left" state is equal to "(up + down) / sqrt(2)". It then follows that when we measure an electron that is in the "left" state along the vertical direction, we get 50% up and 50% down: the probabilistic behavior happens when measuring, which "forces" an electron that was in the "left" state to become either "up" or "down".
I agree though that it would be less frustrating if there was some property of the electrons that would allow to predict in which state it'll collapse.
It has been shown that you can keep determinism (Bohm etc), but what follows is not necessary something you'll find more intuitive or cleaner or more logical.
I haven't been sold by pilot-wave theory, adding hidden variables to attempt to get rid of randomness feels like a cheat rather that a realistic view of how reality would work.
Unrelated, but I also wish scientists properly used the term "theory".
Completely agree. I'm happy to accept that I won't understand it, I take issue with the idea that some believe they do understand it and that the universe is based on random probability that can't be measure or scientifically measured without ruining the test.
me neither! How does the Einstein Rosen Podosky Paradox work? can the unknown that's being collapsed not be a pre-determined value that therefore is not traveling faster than the speed of light?
>can the unknown that's being collapsed not be a pre-determined value that therefore is not traveling faster than the speed of light?
This is known as a "hidden variable theory". People will tell you that a local (things can only affect their immediate surroundings) version of the theory is impossible because it would be a violation of Bell's inequality, but there is a loophole that requires accepting the idea of "superdeterminism". This is the idea that where what measurement a scientist chooses to measure is predetermined and correlated with what the particle being measured is going to do.
So if a particle lands on a screen according to distribution p when going through a double slit, but with distribution p' when one of the slits is measured at, conventional QM says that the measurement "collapses the wave function". But a superdeterministic local hidden variable theory would imply that the choice of whether to measure at the slit or not was already set in stone at the same time that the particle "decided" which path to take to land on the screen, more or less.
If you split up an entangled pair of particles and measure them in a the same 50/50 basis simultaneously (sort of like a coin flip) at distantly removed places, the results will be individually random but perfectly correlated when compared with each other. It seems natural to assume that something here was pre-determined. i.e. There's was some kind of hidden information that we haven't found a way to measure yet. The way in which the coin-tosses were going to pan out was determined when the pair of particles were entangled.
Quantum physics makes predictions that suggest this isn't so. You can design experiments (e.g. A Bell inequality test) in which quantum physics predicts correlations that go beyond what would be possible with some hidden local information attached to the entangled particles that we just don't know about. Experiments don't prove theories to be correct. That's not how science works. However, experimental tests of Bell inequalities have pretty conclusively shown that local hidden variable theories are inadequate to explain what's going on.
Yes, it appears what Einstein called "spooky action at a distance" seems to propagate close to instantly. It's important to appreciate that you can't transmit information this way though. We can only make sense of the quantum correlations after communicating other information at classical speeds. Sometimes you see quantum entanglement devices allowing FTL communication in sci-fi, but that's pure horse hockey.
That all being said, I don't understand quantum physics either.
One of the "coping mechanisms" is to say that information cannot travel faster than light, even if entanglement is propagated instantaneously and measurement acts faster than light. If Alice and Bob share an entangled pair of spins and Alice measures it, Bob has gained no information until Alice communicates (sublight speed) her result. No new information is shared at measurement time. This is known as the no-communication theorem.
I don't think that's correct? Alice knows immediately what Bob's result is going to be as soon as she measure's it. The travel faster than light part that many people (including Einstein) take/took issue with includes this as an effect. More generally put is that if spin is in a superposition until measurement collapses it into a known quantity, then the result of the collapse itself is somehow propagated to the other entangled particle instantaneously.
"IS QUANTUM PHYSICS CORRECT AND COMPLETE?" is reductive, there are more quantum denominations: Copenhagen, QBism, RQM, consistent histories, Many-worlds, Bohmian mechanics, and various spontaneous collapse people. I might've missed a few.
This makes me wonder if we could also argue that there were multiple denominations of classical mechanics. Newton's laws, Hamiltonians and Lagrangians come to mind. I recall that people including Newton were also unsettled by Newton's law of gravity ('action at a distance')[1] and tried to come up with more 'intuitive' theories. The one where the law of attraction arises from being bombarded by particles from the universe (screening) was an amusing one that doesn't work due to thermal effects [2].
> The one where the law of attraction arises from being bombarded by particles from the universe (screening) was an amusing one that doesn't work due to thermal effects [2]
Yes this is a particular interest of mine, the various interpretations of QM. Most physicists subscribe to the Copenhagen interpretation, but I still find it has philosophical quandaries.
He mentioned many-worlds.
Bohmian mechanics has been shown to be inadequate.
Blokhinstev's ensemble interpretation, which I like, is unattractive to many.
Situation: There are 12 major interpretations of quantum mechanics.
Quantum Bayesianism (QBism): We need to eliminate the interpretational conundrums that have beset quantum theory. A quantum state should not be thought to offer a description or representation of physical reality â instead it represents the degrees of belief an agent has about the possible outcomes of measurements.
Situation: There are 13 major interpretations of quantum mechanics.
>It sounds all superior and mysterious to quote Feynman here,
It isn't about being superior, mysterious, or clever. The following "nobody understands" type of quips and thought experiments are different ways of saying our intuitions don't help us understand it :
- "God does not play dice with the universe.", Albert Einstein
- "Shut up and calculate", N. David Mermin
- "Schrödinger's cat" being both alive and dead
- various interpretations/analogies explaining quantum physics leading to absurdities or contradictions
Yes, humanity has harnessed quantum mechanics with mathematic frameworks and repeatable experiments to make useful things... but that's a different layer of "understanding" than the deeper levels in the above quotes.
"Nobody understands what gravity is." ... Wait, if nobody "understands" gravity, how did we send people to the moon?!?
Because those are different usages of the word "understand".
"Understand" means "Have a reasonable metaphor for."
Our monkey minds evolved to throw rocks at birds, and our metaphors are based on concepts like position, velocity, and temperature. We added first-level abstractions like energy and cause-and-effect, then built higher level abstractions on those basic concepts.
QM clearly doesn't work like that. It's probabilistic, possibly non-local, possibly subjective, possibly a holographic projection of some underlying reality that is nothing like this one, and its relationship with causality is slippery.
We have a mathematical UI for it, but that's not at all the same thing as understanding the machinery on the other side of the UI.
I think the disconnect here is the use of the word "understand". What Feynman presumably meant was really "interpret" not "understand", and theories are not made to be interpreted - they are made to make experimental predictions.
Many people of course, Feynman obviously included, understand the theory in the sense of knowing how to correctly apply it to make predictions.
The difference is that the part we do not understand about QM is rather fundamental to its interpretation, while in classical physics it is more a problem of understanding its consequences in complex scenarios.
No, I do not claim I am expert at understanding at how LLMs operate, but there is a huge difference - we can measure changes in models and even identify what part of model is used - it is clearly a niche thing to do and not particularly interesting to many people(and not to me as well, unless those LLMs will be able to replicate brains - in future, then I would be biting my nails that I have ignored the basics), but there is no such issue on dissecting and identifying how bits are shuffled around, unlike with QM.
For QM the main issue is that we are barely able to see results of that black box and have to make guesses even about observable results, because what we see is result of particle long gone and the result has been a mess of paths that it took. And basically we are operating at identifying single particle, while clearly the path that particle took was defined by other particles and "gravity"? from interacting with other particles bumping it around. I'm even less knowledgeable when it comes to QM terminology, but I get impression that most of the commenters here simply are parroting things they have read or being taught without actually trying to understand and taking into account all the unresolved problems in QM, which is why so many of them sounds so confident is my guess. Because knowing limitations of my brain I would be not so confident of anything, only because of massive load of unresolved issues that QM has.
Listen, people were able to make calendars by observing skies and assuming that Sun was orbiting Earth. It is not exactly the same, but very much how people understand QM - they do not need to known mechanics, but observing end results is enough to "understand" how it functions.
Also billions of people understand how to operate mobile phones, but "understanding how they operate" would be rather stretch and even the biggest specialists of QM have understanding only on how to interpret end results in QM - at best and that is basically it.
Quite frankly, I'm confused about these bold statements. I assume there seems to be some knowledge background of what you are saying - it very much reminds me what stupid strawman arguments I had in high school with my schoolmates then as a part of learning process, but rather far from actual wisdom.
All the idea of valence and conduction bands depends on quantum effects. The holes are quantum effects, the electrons are not plain electrons and in particular they have an effective mass that is not equal to the mass of a plain electron traveling in vacuum.
Or we understand just enough to make things and instruments that only work on (and up to) the layer that we understand.
Ancient humans could build boats 5000 years ago and expand throughout the planet, but they didn't know about water being made up of hydrogen+oxygen, or the tides being caused by the moon, etc.
Their calculations served them on the layer they operated on.
Mostly because people around the mediterranean sea didn't have to care, tides being so small there. Yet the Greek had fairly advanced models of tide schedules.
Pretty sure peoples that were experiencing bigger tides and depended on it e.g for fishing figured out the relationship with the moon pretty quickly, whatever esoteric reason they may have plastered upon it.
Saying I don't understand Quantum Mechanics is like saying, "I don't understand how attention/transformers explain the human brain."
It doesn't. It's model. All models are wrong (including quantum mechanics and attention) but some are useful. You understand the domain of the model, the problems it can solve, the math behind the models and use the model to make predictions. If you are competent at linear algebra and functional analysis, you can do quantum mechanics.
If you make the error of believing that quantum mechanics is ontological god's honest truth of nature, you will end up with blunders like using it to explain consciousness like Prof Penrose. His math was impeccable, but he was making a category error.
The trick to a top HN comment is to basically reflexively react to the title with no regard for the substance of the relevant article. Amusingly, pointing out this self-evident truth is itself frowned upon and more offensive than the described trick, according to the sacred text.
I disagree. The human brain is difficult to understand due to the extreme complexity. Quantum mechanics is weird even for simple arrangements of a few building blocks such as the double-slit experiment or Bell tests.
Are you implying that on a basic level or for simple arrangements transformers do explain what happens in the brain? If so, I would be curious to hear how.
Quantum physics is a theory, as in "as far as we can tell, this is an exact mathematical description of the world".
Models are simplifications/approximations made on purpose, as in "I know this is wrong on some level, but it's close enough for my use case", or "this makes the maths solvable".
As someone with a degree in physics and math, I find the line you're trying to draw rather blurry.
> Quantum physics is a theory, as in "as far as we can tell, this is an exact mathematical description of the world".
Is it?
If by "mathematical exactness" you merely mean we have somehow been able to produce some numbers that later on we measured in experiments, then yes. (Though we haven't been able to produce such numbers in all cases, see e.g. [0].)
I my book, though, mathematical exactness means your model is mathematically consistent and is applied with the necessary mathematical rigor.
Quantum mechanics and quantum field theory, as they are commonly taught in universities, are everything but. They are a bunch of concepts and recipes that, albeit successful, are held together loosely with duct tape and lots of hand waving to make you ignore the logical gaps & jumps and the fact that many of the "mathematical" objects physicists refer to don't even exist[1]!
Iâm not sure most physicists would make that specific distinction between "theory" and "model". We know QM is wrong or at the very least incomplete as long as thereâs no theory of quantum gravity. Every theory, like every model, has a domain of applicability and gives wrong or even nonsensical answers when applied outside its domain.
What a theory is, is more like a model (or maybe meta-model) with a particularly broad scope or high explanatory value, often a mathematical framework that gives a common foundation and theoretical justification for multiple experimentally-derived models.
This is really a misunderstanding of what quantum mechanics is. It's not a particular theory. It's a category of theories that fit into a certain framework.
Quantum electrodynamics is a quantum theory. Quantum chromodynamics is a quantum theory. String theory is a quantum theory. I'm sure there is a correct quantum theory of gravity - we just don't know what it is yet.
This is an important distinction. Quantum mechanics as a framework is the correct description of reality as far as we can measure (excluding some loopholes like superdeterminism). This is as close to the foundation or "god" or whatever you want to call it as it gets. If you look at specific quantum model descriptions (like the Schrödinger equation), we know they are not complete. Even relativistically correct Dirac equation is still not the full picture, because we don't fully understand how gravity fits into this on short length scales. But the current principles like Bell's theorem exist independently with all their implications on our reality and they will not go away, no matter what else we discover at the bottom.
>>>Quantum physics is a theory, as in "as far as we can tell, this is an exact mathematical description of the world".
... which "we think" is functioning that way not to mention that theory itself might be wrong and be replaced as most of the supporters of quantum theory doesn't seem to look on it as something that explain mechanics of it, but rather how magic of "unexplainable" quantum mechanics works.
Eh I would disagree on such a sharp distinction. Both quantum mechanics and general relativity are theories, and we know that both of them are not accurate descriptions at all scales.
Heck your descriptions of a model is also what we would call an effective theory (i.e. a description valid for a specific range of parameters/scale).
I don't think there's a commonly agreed difference between model and theory and I sure have heard many physicists use them interchangeably when it suits them (and I'm guilty of it myself). Perhaps theory feels 'wider', as in quantum theory encompasses models for many quantum systems, but that's as far as I'd go.
> [...] when people thought the Earth was flat, they were wrong. When people thought the Earth was spherical, they were wrong. But if you think that thinking the Earth is spherical is just as wrong as thinking the Earth is flat, then your view is wronger than both of them put together.
One problem with your analogy is that transformers do not even attempt to model the human brain, while Quantum Mechanics does attempt to model real physics.
> If you make the error of believing that quantum mechanics is ontological godâs honest truth of nature
This is why science & experiment exists. The author holds no such belief, and the paper makes that very clear. That is what he actually meant by âI Donât Understand Quantum Physicsâ. Jump to the very last section, âIs Quantum Theory Correct and Complete?â Heâs pointing out the confusing and contradictory nature of the model so far, and saying that Quantum is incomplete and needs work. He is not making any category error.
That models are not direct truth is just logical. If there were such a thing that were indistinguishable from the direct truth, it would be the direct truth, not some other thing called a model.
This is why I've never understood the "revalatory" nature of Godel's incompleteness. Of course any axiomatic system must not contain all truths. Axiomatic systems are models and models can't contain all truth. If an axiomatic system contained all truth it would just be all truth rather than some other thing called an axiomatic system.
The only case in which Godel's argument surprises is the case in which one has a fundamental misunderstanding of what a model can and cannot be, which I suppose must have been more common in his time, but I was really confused when my highschool teacher went to great lengths to explain that a model cannot contain the whole truth because...of course it can't?
If obvious, can you prove it without reading Gödelâs proof or anyone elseâs?
The important (2nd) part of Gödelâs proof is not that a model canât contain all truth, itâs that a model cannot prove itself true, which is a far stronger statement than the intuition you describe. Of course, belief that your own intuition is independent of history is also highly questionable; you were raised and educated in an environment in which people were already aware of Gödel. Itâs like saying the number zero is obvious (which it is now) despite the fact that it took thousands of years before it was used formally as a number. There was a time when it wasnât obvious to the smartest people alive.
Note that formal axiomatic systems arenât physical systems; what Gödel was talking about and what George Box was talking about are related but somewhat different concepts. It is obvious in physics that a parabolic ballistic trajectory model doesnât account for air turbulence. Itâs not at all obvious that all of math itself is guaranteed to produce contradictions and cannot prove itself, especially if youâre allowed to change math or use any system you want.
I think the vast majority of physicists have been perfectly able to avoid Penrose's error. I would also think the lesson would be simply to strive to avoid making errors or the kind he did, not necessarily to sacrifice realism about physical objects just to avoid the possibility of someone's mistake. Plenty of people, in fact I would say many more people abuse the observer effect in QM to make crackpot claims about consciousness. But it doesn't mean the observer effect is wrong.
I also think you can be a realist without having to make the jump to ontological irreducibility. You can say that our latest theory is a better approximation than the previous one and the previous one was an approximation as well.
What a strange statement. Quantum mechanics is a physical model of the world. Attention and transformers are not. They can be construed into one in principle, but they are not models of the world themselves.
There are only a few things that I think are exactly correct in physics, and quantum mechanics is one of them, alongside Relativity.
Quantum mechanics is a framework for how theories are built, not a specific theory, and it's really all or nothing. There's not much between the quantum and classical ways of viewing the world.
I think the GP meant that quantum theory and relativity are incompatible and thus both cannot be exactly correct at the same time. Not referring to quantum vs classical.
Indeed. I know itâs a lazy way out because I donât have to assume anything about the actual correctness of either, given that they are famously incompatible in the details.
But as a physicist I have no illusion that any of our theories are actually true. They are all models that help us making sense of an unimaginably complex universe.
>>>There are only a few things that I think are exactly correct in physics, and quantum mechanics is one of them, alongside Relativity.
...unless I have understood it otherwise, but quantum mechanics is still an approximation of things we simply are unable to measure individually - mostly because of speed and have to resort to guessing that approximation of that limited time period, which is still too long. It would be the same as trying to guess position of a ship during voyage across the ocean and taking the smallest measurable time period as 100 years, in which the ship has been already sunk out of existence, while smaller time period would have given us better picture and quantum mechanics that we are able to use has exactly that issue - we are unable to measure and record particles at smaller time intervals. At best we can see trajectories of particles long gone.
Also, this book is not agreeing with your statement, to me which sounds like Religion(because you have no explanation at all!) and should not be part of Science.
And in case it wasn't already obvious, that URL indicates Doug was at the University for a long time. The University stopped letting even its staff pick a username years ago, maybe even decades ago and the default assigned usernames are... a bit dull.
With article titles like these, i just had to share it on HN!
Somebody should work on the above two webpages to make them more readable with html+pdf formats. That would make these more accessible to the "interested layman".
When I learned about causal sets program and algebraic quantum field theory, I finally (somewhat) understood quantum physics.
Tl;dr spacetime does not exist as a global background where things are "placed", it is not ontic. "Things" are first, and spacetime is derived from interaction statistics of "things". This eliminates nearly all naive paradoxes like double slit etc. Now, these "things" are somewhat complicated and non-intuitive (e.g. there are no individual "particles", they are a limit of discrete distributions), but that's a good start.
Sorkin is great. I think causal sets make some things simpler but other more mysterious. I also found tâ Hooftâs automata and Spekkens toy illuminating in different ways.
I am so sorry to hear this. I enjoyed visiting his web page July, when I came upon a couple of emails he had there, which were eye opening as they made some of the philosophical thoughts behind causal sets much clearer. A huge loss, but he did contribute amazing work.
Wave function collapse is a misnomer. We now know that weak measurements do not collapse the wave function but rather drives the probability amplitudes of the states towards an eigenvalue. For those familiar with linear algebra recall that power iteration of a matrix with a random vector will yield the matrices eigen vector given enough iterations. Collapse is similar to this phenomenon but non deterministic.
My theory: The reason we perceive collapse as irreversible is because the computational complexity of reversing the equations is very high. Especially as the state converges towards an eigenvalue of the measurement operator, it becomes more difficult to reverse. This is similar to how a hash function is reversible in principle but not practice. My two cents.
Many worlds and such are just pseudo religious nonsense.
Itâs easier the accept quantum physics if you first
1) Disregard many worlds as a purely remaining mathematical outcome of bounded probability rather than discrete reality. (No 1 thing exists just 1ish things but ultimately that doesnât mean there are many versions of any give 1)
2) just accept you canât find the âstuffâ of reality. You simply measure increasingly small probability domains which interact with other probability domains
3) time is the sequential working out of probability of anything existing and other things that might exist co defining themselves.
4) space is just the interaction of these probabilities working themselves out into a stable projection.
Many worlds is a mathematical construct of our inability to measure specific dimensions hyper locally and an artifact of that. Which for some reason the entire scientific community mistakes as a real observation of reality.
Just because at a quantum scale everything becomes potential doesnât mean all potential has been manifested.
It baffles me that so many serious scientists donât understand this basic tenet.
The key aspects of quantum physics can be explained very simply. The issue is going in depth without those basics. I often find if someone doesn't get Quantum Physics, it's that source or you need the steps explaining more in-depth. Often sources assume your base knowledge and that is where many fall flat.
Imo it's a bunch of rules and if u follow them you get accurate answers. What more is there to understand? It seems very unlikely that aspects of the universe more removed from our macro-scale existence would make sense or be comprehensible to beings whose minds evolved for hunter-gathering and social dynamics in Pleistocene Africa.
It's useful, not metaphysically real. (Hot take btw) This is called Instrumentalism. The belief that it's real is called Scientific Realism. However over and over again, science can't cover edge cases, and we find better fitting models. The Copernician revolution is a good example of this dichotomy.
2. Academia basically forces you to believe the doctrine or you fail the class. From philosophy to physics to sociology. If you read the philosopher survey, you will find trendy things being quite high. It's a religion in itself.
Bonus 3: Philosophical Pragmatism and Instrumentalism generally solves this, but is intellectually a dead end. There is a reason analytic philosophy continues despite gaping holes in linguistics (late Wittgenstein) that ruin it. But at the same time, best fits might be missing a new paradigm. I wish I could tell people to ask AI to explain Hegel to understand, but I think people need to read it themselves.
Tl;dr: quantum mechanics is the best we have. It's definitely wrong, but it's the most useful we have.
> 2. Academia basically forces you to believe the doctrine or you fail the class.
Yes, but if you can make a reliable experiment that disagree with the doctrine, it will change, even if everyone hates the idea. In particular https://en.wikipedia.org/wiki/Wu_experiment
I disagree. Science is what we do to find out what is the case, i.e. real. The fact that it also has useful applications is directly tied to the extent to which the findings are real. It works because it describes something real.
Things being might be real in a specific point in spacetime, but that they are real is independent of time. However what Science "claims to be real"[0] is dependent of time. You can't know that the realness is the final understanding. The closest you can come to believing things are real, is that you can't think of an experiment that falsifies them. But you can't really know for sure, that falsifying is impossible. How do you solve that? I don't have that problem, because I agree with your parent, but this is what I thinks contradicts your understanding of Science.
[0] I personally don't think Science concerns itself whether things are real, only whether the result of model and realness match, but that's what we are discussing here.
If you read late Wittgenstein or Karl Popper, you will find that science is a useful simplification. Rorty is boring and not useful, but he kills any sort of Realism.
The 3 gigantic holes:
1. It's all language. (Wittgenstein)
2. The edges of systems do not connect with each other.
3. There are exceptions to everything.
I know that might seem a bit generic, but these are the major flaws in the philosophy of science.
I was a true believer too.
If you ever want to learn a ton about science, read Popper. He tortures himself, but he's also scientific meta.
I guess that depends on what you mean by "real". I've always taken the scientific method to be about creating theories that correctly predict experimental outcomes, which is to say that utility is primary.
I guess if/when we discover a theory of everything then we could claim "this is real/reality", but what would that even mean other than modelling reality/outcomes with 100% fidelity?
So many entry-level explanations of quantum mechanics start with classical physics, waves, particles, the double-slit experiment, etc. and then jump straight to infinite-dimensional Hilbert spaces. In my opinion, there's way too much conceptual baggage that comes with these concepts [0].
As a non-physicist, QM only clicked for me when I learned the linear algebra of one- and two-qubit systems and observables on those systems [1]. The math is accessible at a pre-calculus level, and the most "counter-intuitive" aspects of QM (interference, the uncertainty principle, entanglement) make perfect sense in this framework. I think it's the best starting point for understanding what QM really says.
[0] That's not to say they aren't important historically or for a complete understanding of QM. I'm talking about conceptual understanding for someone, especially an amateur, encountering QM for the first time.
[1] Chapter 2 of Nielsen and Chuang is what did it for me. It's heavygoing if you've never seen linear algebra before, but I don't know of a clearer explanation of the postulates of quantum mechanics.
The math is one thing, but I find the idea that the fundamental pieces of reality arenât particles a little unsettling.
The classic double-slit experiment is kinda bizarre when one considers the âsingle electronâ case.
https://profmcruz.wordpress.com/wp-content/uploads/2017/08/q...
Do you have any recommended resources that you used to help learn the linear algebra?
Start with 3Blue1Brown's "Essence of Linear Algebra" series https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x...
Axler's "Linear Algebra Done Right" https://linear.axler.net/LADR4e.pdf
Nielsen and Chuang's "Quantum Computation and Information" Chapter 2. (Available online, but legality depends on where you live)
If you're interested primarily in QM rather than linear algebra, I'd recommend not working through all of Axler, but instead using Nielsen and Chuang to learn about qubits and observables, and using Axler to fill in the gaps.
"A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry" by Peter Szekeres has several chapters on linear algebra early on, starting with sets and groups and including tensors (which you absolutely need for QM).
I loved it.
https://linear.axler.net/
not sure about its specific applications to quantum mechanics, but I worked through MIT OpenCourseWare's Linear Algebra class (taught by Gilbert Strang) and I thought it was amazing. The lectures are very very good.
Agreed.
Quantum Processes, Systems, & Information by Benjamin Schumacher and Michael Westmoreland is another good treatment along those lines.
It makes sense in the framework but the framework makes no sense. The model contradicts regular intuition.
If we've learned anything from modern physics, it's that our regular intuitions are often wrong. The framework makes perfect sense mathematically, and it makes the right predictions experimentally. It's still controversial how exactly the framework relates to reality, which is where you get into interpretations of quantum mechanics.
One of my favourite examples of this pedagogically is how kinetic energy is quadratic with velocity. It's easy to tie into things people think they understand, like braking distance. Our intuitions are wrong even in shockingly simple problems.
This. A tesla model Y going 60mph has almost 2 times the kinetic energy (75MJ) of the same car going 45mph (40MJ)
Your stupid brain thinks, oh I am just 10ish over the limit.
Nature gives jack crap about our intuition
Mike and Ike is almost always my standard recommendation.
Of possible interest
Basic Concepts Of Quantum Mechanics by L. V. Tarasov
https://archive.org/details/tarasov-basic-concepts-of-quantu...
The dialogues of the author engages with various personas and the reader that are interspersed as Prelude and Interludes are really enlightening.
For example:
Classical Physicist: Can one seriously speak about an object without having an idea of what it looks like? Isnât it strange that we study, for example, the behaviour of an electron in a crystal while we donâ t even know what an electron actually is?
Author: I donât agree that we donât even know what an electron is. I have just indicated a number of precisely determined characteristics and properties of an electron. More detailed properties of microparticles in general and electrons in particular were considered in the preceding sections of the book (and will be considered in the following sections). In fact, we know quite a lot about the electron and know, in particular, about its behaviour in a crystal. This is evidenced by the large number of semiconducting devices fabricated and used by us in practice. As you will see, the absence of a âphysically intuitiveâ model of the electron has in no way turned out to be a serious obstacle. We may even go a step further and state that an understanding of natural phenomena in which Planckâs constant plays an important role is possible only through a significant rejection of a graphic description. By the way, this idea was given by Heisenberg, in whose works much attention was given to questions of the use of physically intuitive methods.
Classical physicists had conceptual difficulty when something stopped behaving as "body" even macroscopically. For example when they tried to determine coefficient of friction of pure coper, throughly cleaned, in vacuum to prevent any oxidation, the surfaces cold-welded together. The copper did not get the memo that it is supposed to be two physical bodies.
Nice; a classic "Mir Titles" book!
Also checkout Tarasov's other books - https://mirtitles.org/?s=Tarasov Relevant here are his books on Probability and Lasers.
The Physics of the "very small" is essentially probabilities applied to Atomic, Molecular and Optical (AMO) domains where light and matter interact.
His book on Symmetry also discusses symmetry aspects of the microworld.
Somewhat related: a book that really helped me is Picturing Quantum Processes by Bob Coecke. It's a visual representation of quantum processes, which really helped me understand the concept
Full PDF https://www.cs.ox.ac.uk/people/aleks.kissinger/PQP.pdf
Thanks for sharing! Just read the first pages and it looks promising
Funny, both books scream default LaTeX
Both books are default LaTeX. Whatâs wrong with that?
It stands out as not too common a sight for books, so having two like this, more or less in the same style, on the same topic, both posted in this thread, is amusing. Maybe it's not that rare and I'm just not reading enough books from academics for whom a book is like a weird long paper with hand-holding for amateurs.
Finished reading this book not too long ago, one of my top three textbooks. An absolute joy to read full on great insight.
Not sure how it feels to a beginner, but to someone with a good deal of familiarity in the field it put everything in such a nice tight conceptual package.
This looks quite interesting; thanks for sharing.
"This rather fanciful interpretation of Quantum Physics has now become accepted by many theoretical physicists as being more satisfactory than the Copenhagen interpretation, despite the fact that the mechanism which causes the splitting of the Universe is not explained in any more detail than wavefunction collapse. As you can probably tell, I am in the minority of physicists who finds the Many Worlds interpretation dificult to accept, and not particularly illuminating."
I think these lectures are a good intro to QM. This statement feels very emotional though. Many-worlds just states there is no such thing as wave function collapse. The many worlds are a logical conclusion following. Copenhagen simply refuses to elaborate to when wave-function collapse happens, which to me is not a complete theory.
You could have some critique of many-worlds in relation to statistics, although I think many people have given quite satisfactory explanations.
Many worlds is just bare bones QM.. If any other theory is proposed, it should be falsifiable (like pilot wave theory for example). Doesn't mean it won't be difficult to measure.
FWIW (and it's not worth a lot, since I'm a layperson), I think the interpretation that makes the most sense to me is Quantum Decoherence (https://en.wikipedia.org/wiki/Quantum_decoherence).
My interpretation of the interpretation is that the universe is a giant constraint resolution system. Particles are free to be anywhere randomly as long as they do not randomly interact with other particles. As soon as they interact they have fewer "degrees of freedom", since now they interacted. When they interact with anything macroscopic they have no freedom left. Makes sense to me anyway.
Decoherence isn't an interpretation, but an experimentally established fact. What makes interpretations interpretations is that they cannot be experimentally distinguished (or in some cases, can only be with great difficulty). That said, the study of decoherence has certainly made aspects of the measurement problem easier to come to terms with, which in turn has bearing on the intuitive draw of some interpretations over others. In particular, it helps answer when universes should be said to "split" in MWI (though, as many will rightly tell you, that's not a complete solution to the measurement problem, as decoherence is still unitary--i.e., there's no in-principle irreversibility there).
Decoherence is how you get from "Maybe the wave function never collapses" to "Maybe there are many parallel 'universes' in QM.".
Decoherence gets you a diagonal density matrix description of the world. It doesn't get you a single-state description of the world. Going from "There are many parallel universes" to "and we are in one of them" still takes a lot of handwaving.
But we're not in one of them. We're in all of them. Yours is a misunderstanding of how it feels to be in a quantum superposition. There's no component of the wave function in which Schrodinger's cat experiences anything other than being alive or being dead. There's no component in which it feels like it's in some ghostly combination of both outcomes. Both components of the wave function exist in superposition, and to the extent that they are decoherent, they do not interact and do not even notice that they have company. I don't mean this only as an academic statement; it's also true of you and me, at this very moment.
It's a bit like:
"Doc, I feel pain in my toe."
"No, sorry, the math says you don't."
"Okay, but like... I do."
"Sorry, you're just not good at accepting math!"
Not a perfect analogy, of course, but people have competing intuitions of what to do when the map fails to match the territory. MWI abandons the latter, most prefer the former.
If that isn't absurd, then I don't know what is.
I think the alternatives would be more absurd:
- That humans can't be put into quantum superpositions, or
- That a human being in a quantum superposition of two states A and B would feel at all to that human like being in a quantum superposition of two states A and B, when neither of those states is "a human feeling like they're in a superposition of two states A and B".
Follow this to its conclusion, and you end up with a superposition of A and B meaning: "the universe is in a superposition, containing a component where a human believes that they're in state A, and a component where a human believes that they're in state B. Within both branches, the human thinks their wavefunction collapsed in that state". This is exactly the way that all interpretations of QM already understand things to work with particles in superpositions.
There's the handwaving.
Decoherence only hides entanglement by having the entire world go into a complex superposition. It's entirely compatible with MWI. Decoherence does not resolve the measurement problem on its own. It's not a separate interpretation. It only provides us a mathematical reason for why the world appears classical.
Many-worlds is an interpretation and not a theory. It makes no additional predictions beyond what QM does. Believing in any interpretation (or shutting up and calculating) is purely emotional; it has no scientific content.
(Disclaimer: I'm nowhere near truly knowledgeable about any of this)
Quantum computing was explicitly proposed as a way to prove the truth of many worlds. As far as we can tell, quantum computing appears to work.
I don't think most people believe QC truly proves many-worlds, but I think it is considered some evidence in its favor, and historically it was I think one of the reasons for the development of QC originally.
I've heard this claim, but I don't think it holds up. The idea is that supposedly the calculation is done in parallel across the different universes which allows you to see an exponential speedup in some calculations. But the whole point of many-worlds is that after a branch event the various branched portions of the wavefunction no longer interact. Even if it were true that quantum computing was really a bunch of parallel classical computations (which it is not), there would be no way for any of the other universes to communicate the result back to the universe you observe it in.
Many worlds doesn't really feature 'hard branches'. In fact the interpretation is pretty specific that quantum interactions becoming de-correlated and stopping to react is the mechanism by which you get the 'many worlds', and this is a soft and messy process not some global hard split.
OTOH, I don't think any of the other interpretations really struggle to explain quantum computing so I agree it's not much of a distinguishing factor.
I don't think there is anything in quantum computing that is specific yo the many worlds interpretation.
But if what you want is understanding, you want a good explanation. (Or to quote TheOtherHobbes from elsewhere in these comments, a reasonable metaphor: https://news.ycombinator.com/item?id=50220700)
If you only like predictions and disparage explanations, I might start calling you names, specifically instrumentalist.
What do call someone who wants good "Just So" story explanations that don't explain anything, but posit the existence of meaningless things?
Here you are taking "good explanation" and combining it with the term "just so story" which indicates a bad (arbitrary) explanation. So you cast doubt on the idea that explanations can be good. What's this, sabotage?
It has mathematical and philosophical content. People can be convinced for reasons other than empirical without it being emotional. Sean Carroll makes logical arguments for why he's convinced MWI is correct.
I'm not Sean Carroll. I'm interested in logical arguments for why I should be convinced that something completely impossible to ever test, not even in theory, is correct.
How do you test whether the dinosaurs once existed as living animals, vs as fossils that were embedded in the Earth when the universe began 6000 years ago?
Because I only believe one of these propositions, even though I can't imagine any test that would discriminate between the two.
The quantum world involves states that are a complex linear superposition of all possible states. It isn't just that the world bifurcates into one where the cat is |alive> or |dead>, but also all c1 |alive> + c2 |dead>, where c1^2+c2^2 = 1 and c1 and c2 are complex. The MWI has no explanation for how this other infinity of possible states disappears into just two states. You still wind up with the collapse of the wave function--involving a lot of hand-waving or appealing to some nebulous property of consciousness.
>The MWI has no explanation for how this other infinity of possible states disappears into just two states. You still wind up with the collapse of the wave function--involving a lot of hand-waving or appealing to some nebulous property of consciousness.
The real issue here is the preferred basis problem, not an infinity of worlds: a single state vector can be decomposed many ways, and the bare math doesn't say which decomposition counts as "the branches." Decoherence picks it out: once the cat is entangled with its environment, the alive/dead decomposition becomes effectively unique and stable, through ordinary unitary dynamics. No collapse, no consciousness (that's von NeumannâWigner, not Everett). MWI does have an open problem, but it's a different one: the Born rule, i.e. why |c|^2 should count as probability when every branch is real. Also, the normalization is |c1|^2 + |c2|^2 = 1.
Sure, the MWI still has an open problem which is why it looks like there is a collapse of the wave function.
No, it explains that well enough, it just struggles to explain why you would expect to see the collapse with the probabilities that you do (though, to be fair, most other interpretations don't presume to explain this at all, it's just a rule. MWI just reframes it in a way that makes it odd that there is a rule).
AI comment
Given we havenât bridged quantum with gravity yet, my bet is the function collapses right at the boundary when gravity starts to play a meaningful role.
Thatâs a more physically plausible interpretation than ever âtickâ of the universe actually creates infinitely more universes because every fundamental particle is quantum and each one is constantly interacting under the wave function every plank second. And the infinite number of possible events that a single particle would experience is multiplied by the joint combination of all particles in the entire universe. It doesnât seem plausible.
How would you define exactly âwhen gravity starts playing a roleâ. It always plays a role, from photons to planets.
And on the âevery tick creates more universesâ: we are completely fine with superposition in nanoscopic systems. Itâs just uneasy to follow that conclusion to the logical end. Just my two cents. I think just because the conclusion seems hard to grasp, the reasoning to get there is completely sound..
âStarts to play a roleâ means when the effect of gravity becomes significant to the quantum equations which currently donât have any placeholder for gravity.
Just like Newtonâs equations are accurate to describe gravity and motion but only because the full equations Einstein worked simplify to them at small speeds.
So similarly it would make more sense that quantum equations and relativity are two sides of the same coin and thereâs some missing mathematical bridge where at small particle sizes it simplifies to quantum and at large particle scales gravity matters and we get Newton and then further relativity.
Using Occamâs razor thatâs at least my prior vs some undefined mechanism of action where all possible interactions of every particle actually creates an infinite superposition of universes where that did happen and you get an infinite number of such superpositions ad infinitum. Much easier to believe the huge gaping hole between two very accurate theories explains how quantum mechanics turns into classical mechanics, especially since we know gravity exists, what it is, and quantum mechanics canât explain gravity.
The place where quantum and gravitational effects are thought to become significant to one another is at energy levels that cannot be obtained in our experiments, either in the lab or through astronomical observation.
And so as a result thereâs multiple worlds? Thatâs the simpler more testable prediction?
I'm just an old industrial physicist, but as I understand it, quantum gravity has yielded no testable predictions so far, and neither have multiple-worlds theories.
I never said anything about quantum gravity. String theory is also trying to bridge things. But many worlds is pointing to a gap in the math and claiming god. All Iâm saying is we donât have any model or math and many worlds is the more fantastical explanation.
It's simple and elegant if you like it, overcomplicated if you don't.
Many worlds is a philosophical interpretation akin to god. It doesnât add anything to our understanding and instead invokes some kind of supernatural untestable phenomenon.
This is more or less Roger Penrose's position: https://web.archive.org/web/20150327124054id_/http://image.s...
He argues that the wavefunction collapses on a timescale of h-bar / E_G, where E_G is the gravitational self-energy of the quantum system.
Didnât know this but glad Iâm in such distinguished company.
When the future has multiple instances of you, it becomes problematic to define what the Born rule means.
For example, "Many Worlds, the Born Rule, and Self-Locating Uncertainty" notices that the rule doesn't mean anything, but it is rational to behave like it does. It's not a very satisfying position, I'd say.
Is many worlds falsifiable?
Yes. Many worlds is just the Schrödinger equation without the wave function collapse. It makes less assumptions. Falsify the Schrödinger equation, and you have falsified many worlds. However, is the wave function collapse falsifiable? It's one postulate which many worlds doesn't make, and it cannot be confirmed or falsified by experiment.
> Many worlds is just the Schrödinger equation without the wave function collapse.
It is not, it is the Schrödinger equation plus an extra rule that says that classical observers are only certain kinds of quantum states. There's no explanation in the MWI for why a device never reads out that a particle is 1/sqrt(2) |here> + 1/sqrt(2)|there>, even though that is exactly as probable a state as being |here>. And it turns out that this is exactly equivalent to positing wave function collapse / the Born rule.
And no, decoherence has nothing to do with this. Decoherence explains why there is no observable interference at the classical level between these states, not why you can only observe some states.
This is known as the preferred basis problem, for anyone who wants to read more about it.
Doesnât the structure of the Hamiltonian (local interactions) set what the preferred basis are?
This is not what falsifiability means in the Popperian sense. You are confusing falsifiability of a theoryâs predictions with falsifiability of an additional claim of what those theories mean. We might as well say that the simulation hypothesis is falsifiable because the laws of physics govern our simulated universe, so if you can falsify those laws you can falsify the simulation hypothesis. That being said, the concept of falsifiability is not without its weaknesses.
Exactly.
Any good scientific theory must create falsifiable hypotheses.
Otherwise itâs just a nice story.
>Any good scientific theory must create falsifiable hypotheses.
For any behavior inside the world, this is good.
But for the world itself and what harbor's it, asking for falsifiability is like measuring the expansion of space using a ruler that inhabits the same space.
Even science, that works in terms of cause and affect, which implies space and time, cannot be used to describe space and time itself.
Vanilla "scientists" have been trying to do that, but that is a dead end.
> But for the world itself and what harbor's it, asking for falsifiability is like measuring the expansion of space using a ruler that inhabits the same space.
Which exactly is what general relativity is centrally about and the reason why general relativity is defined in terms of intrinsic properties of the Einstein manifold describing the space of the universe. Intrinsic properties are, colloquially, indeed properties that can be measured "using a ruler that inhabits the same space".
GauĂ' Theorema Egregium [1] is an early predecessor of intrinsic properties of general manifolds, and says that the curvature of a surface can indeed be "be determined entirely by measuring angles, distances and their rates of change on a surface, without reference to the particular manner in which the surface is embedded in the ambient 3-dimensional Euclidean space" ([1]).
[1] https://en.wikipedia.org/w/index.php?title=Theorema_Egregium...
Also why LIGO works but Michelson-Morley failed: you can use the ruler distortion as a signal, with some caveats.
In LIGO, we detect the far away distortions propagating through our rulers and the differential effect of those waves.
But Michelson-Morley failed because the ruler distorted synchronously with the signal we tried to measure â since we mistakenly believed EM and matter were different fields.
How are general-relativistic effects relevant for the outcome of the Michelson-Morley experiment?
> How are general-relativistic effects relevant for the outcome of the Michelson-Morley experiment?
General-relativistic effects are relevant for the outcome of the Michelson-Morley experiment in the sense that the general theory of relativity is a generalization of the special theory of relativity. :-)
Otherwise: the additional predictions that the general theory of relativity makes about gravity, curvature of space etc. are not relevant for the outcome of the Michelson-Morley experiment.
I mean, if you're claiming that general relativity is relevant here, then you need to show that quantitatively.
> measuring the expansion of space using a ruler that inhabits the same space
We do that, routinely: thatâs how we do cosmology.
> We do that, routinely:
Yea, that is why we are not getting any where...
> Yea, that is why we are not getting any where...
Which alternative way of doing measurements do you propose? As far as I know, measuring intrinsic properties, i.e. "using a ruler that inhabits the same space" is with our current technology the only possible way of doing measurements.
Assuming that we are trying to understand the ground truth about existence by doing these measurements, may be we can acknowledge the limitation and stop trying to do it. Then we can be open minded and stop being hung up of the idea of "falsifiability", and could come up with or give more consideration to radically different hypothesis that we might come up with alternative measurements that we could make, that can prove or disprove them.
So time extending into the future is not a useful hypothesis? Space continuing beyond the cosmic horizon is not a useful hypothesis? The past entropy of the past being arbitrarily low (vs what is essentially last tuesdayism) is not a useful hypothesis?
Time extending into the future is validated by direct experience.
A continuum of variants of myself is bought.
What is the value of assuming that literally every possible trajectory actually happens, but somehow I am only in one of them, while also being a continuum of other ones? If everything is true, than nothing is true.
If time did not continue into the future, it would not be observable. Therefore hypothesis that it will continue to do so is not disprovable.
As far as multiverse goes, there isn't any inherit value in assuming that the wavefunction as given actually happens, it's just a simpler explanation than trying to come up with (arguable unprovable) ways to cull the wavefunction.
The Copenhagen interpretation doesn't even deserve to sit with the other interpretations because it's not well defined. It's protoscience, like alchemy.
It's "rules of thumb for a working physicist".
"Many-worlds just states there is no such thing as wave function collapse" is the emotional statement. The contempt for many-worlds is both principled and rational.
Many worlds as real ontology are just as wild as saying their is a God. Physicists are thus making claims that just as wild as the theologians .. I find this fascinating.
Just like the AI nerds and the AGI singularity or Musk saying we are in simulation...
ie so many crazy ideas.. for the rationalist, its like being in an insane asylum and trusting one mental patient or another..
I suppose at some level its just not rational why we exist. We must accept some wild, fundamental metaphysical assumption
I think a common mistake when approaching MWI is reading too much into it. These Other Worlds "exist" in similar sense to the number i. MWI does _not_ claim anything about there being infinite alternative equivalent planes of existence where these physically manifest or anything like that.
You make an extraordinary claim.
Where in MWI do you believe the preferred unique macroscopic reality is defined?
This has never not been true. There are always hand wavy axioms at the bottom.
Sharing in case useful for someone. Started getting into this subject in 2015, and full disclosure: I'm no physicist by any means. Without the formal background, the math and concepts were really hard to conjure and comprehend purely from the page, so I built an interactive self-study guide to "feel" the equations from Newton to holography. https://apples-to-entanglement.jasonrys.com/
Link looks to be broken.
Regarding questions of what how measurement relates to schrodinger time evolution: https://arxiv.org/abs/quant-ph/0503009 . I think it is absolutely astonishing that many physicists do not know this.
This piece looks great, adding to my ever-growing "to read" collection on Zotero.
If anyone is interested in self-studying quantum physics, QFT for the Gifted Amateur [1] is very well regarded.
1: https://academic.oup.com/book/36442?login=false
Second this book, but you need a source before this to study QP successfully. This requires a lot of UG maths and physics knowledge that I think most would not have.
I like QM for engineers.
It is much more shut up and calculate.
But I do believe that is atleast in part Feynmans point. The way we have explored QM for the past... 120 years (? Wow is it really that old!?) is you don't need to understand it, here are the rules and tools to carry out extraordinary calculation.
I believe the likes of Sean Caroll are trying to bring understanding back to physics and meet philosophy.
https://web1.eng.famu.fsu.edu/~dommelen/quantum/
Sean Carroll is trying to bring storytelling fantasy back to physics. No good comes from "studying" the angels dancing on the head of a pin.
It really depends on your goal. If you wish to use it day to day then you do need to understand it but yes you can use the handy Dirac notation to let you calculate lots without ever going too deep.
See also, Atomic Physics for Everyone: An Introduction to Atomic Physics, Quantum Mechanics, and Precision Spectroscopy with No College-Level Prerequisites. - https://news.ycombinator.com/item?id=46961595
In a podcast, Alain Aspect (Nobel Prize winner) explained that he does use the power of visualization and his imagination to generate new ideas, but that he always needs to check them with actual calculations because no mental picture can be an accurate representation of quantum physics.
That pre-determined value idea is exactly local hidden variables, and Bell's inequality rules it out, Aspect's 1982 CHSH experiment measured the violation.
To be precise, Bell's inequality rules out a local hidden variable theory. Pilot wave theories/Bohmian mechanics is an attempt to describe a nonlocal hidden variable theory of quantum mechanics.
To be even more precise, it rules out hidden variable theories that satisfy Bell locality, i.e. the assumptions that the theorem makes.
Superdeterminism and retrocausality both allow for local hidden variables - itâs just that they donât satisfy Bellâs assumptions.
They're also generally regarded as weirder than the problem they are trying to solve.
Intuitive notions of âweirdâ arenât necessarily a good guide here. We already know time doesnât behave the way we intuitively imagine, because of relativity: there canât be universal agreement on what is past, present, or future. Once youâve accepted that, retrocausality seems much less strange.
Similarly, superdeterminism is simply the application of the determinism that was believed to apply to physics before QM, to QM itself. In a way, one might have expected it to be the default interpretation.
No? Superdeterminism says that thereâs no way to pick your experimental choices in a way that reveals things because any possible random number sources you could use have contrived correlations that prevent that? Why would one ever consider that as âthe defaultâ?
The strong belief before QM was discovered was that the universe was deterministic - that given sufficient knowledge of a physical system's present state, you could accurately predict its specific future states (not just possible future states.)
Laplace expressed this in "A Philosophical Essay on Probabilities" in 1814: "We ought then to regard the present state of the universe as the effect of its anterior state and as the cause of that which is to follow. [...] For [an intelligence that has sufficient information] nothing would be uncertain, and the future, as the past, would be present to its eyes."
Superdeterminism essentially extends this idea of deterministic physical evolution to quantum mechanics. It could be considered an appropriate default simply because it was previously considered to be, not only the default, but the strongly believed truth.
> Superdeterminism says that thereâs no way to pick your experimental choices in a way that reveals things because any possible random number sources you could use have contrived correlations that prevent that
You're arguing against a consequence of superdeterminism, not its motivation. Its motivation is as I've described.
The word "contrived" is doing some heavy lifting in your statement. Nothing needs to be contrived in superdeterminism, even if it seems that way to an observer within the universe.
The explanatory problem you've alluded to only arises because we're trying to understand the universe from within the universe. The universe is under no obligation to make itself sensible to us.
Essentially, you're saying little more than that you don't like the idea of superdeterminism.
I've got a feeling that our intuitive ick around spooky action at a distance is due to out intuitive view on locality and the nature of space, maybe time too, being wrong. IOW remote is really not remote.
Perhaps we've got it backwards and quantum entanglement is what defines "locality" rather than mysteriously existing in the face of it.
Ironically everyone assumed non spooky action at a distance for most of human history, until relativity.
it doesn't if you assume superdeterminism
I don't understand the superdeterminism idea. Wasnât that already the classical/Newtonian view - that everything was predetermined, a universe of billiard balls following their destiny exactly?
No, they are completely different. Determinism is the idea that if you have a perfect snapshot of the universe at one time, you could run that snapshot forwards or backwards using the laws of physics and have a complete history of the entire universe. It's a valid scientist idea, but Bell's Inequality experiments pretty much prove it false by showing that either realism or locality is false, and you kind of need both to have determinism.
Meanwhile, superdeterminism is the idea that you can still have realism and locality by claiming that Bell's Inequality experiments are invalid because the universe could somehow "know" you are performing a Bell's Inequality experiment and rig it to get the "wrong" answer. Superdeterminism is equivalent to saying that we can't prove smoking causes lung cancer, because the universe might rig any science experiments to make it look like smoking causes cancer. Anytime you ask why the universe would do that or how you can prove anything in such a universe, they shrug their shoulders. It's a completely BS idea that got traction because specific people pushed it and others don't understand quantum physics enough to know how unserious of an idea it is.
Newtonian is just plain determinism. One thing causes another, but does not imply things are fixed in any particular way.
Superdeterminism implies that things are fixed in advance in such a way that the things we "choose" to measure always looks as if there are no local hidden variables (e.g. Bell's inequality) even though there are.
You can imagine the general idea by imagining the state space of a bunch of billiard balls: their position and velocity in a 6D space.
This is a metaphor and not the state or experiment that superdeterminism seeks to answer. I am also speaking well outside the areas of physics I was trained in. So huge grain of salt.
In classical determinism, the trajectories of all billard balls can be derived precisely from their initial conditions. Due to sensitivity to initial conditions and our ability to know them precisely, we can see chaotic mixing behavior where the trajectory of even two billiard balls that start at nearly the same place become more and more uncorrelated as time goes on as they bounce around and into each other. One expects that many accessible observables and functions loose detectable correlations as this billiard ball universe goes on and the billiard balls go on to roughly fill the full 6D state space up to conservation of momentum.
Now imagine the weirder scenario, that there exists some function and statistical comparison you can make between state variables from sets of billiard balls. Although these state variables themselves seem uncorrelated after enough time has passed, there are these properties that always hold with perfect correlation even after infinite chaotic time bouncing around. The points in state space that the balls cover is restricted to some manifold where these statistical properties are true when checked. The system cannot evolve in a way where those correlations of bulk quantities would disappear.
In this toy metaphor itâs not so horrifically odd. Superdetermism gets more flak because: (i) the state space and property in question is so much weirder and more complicated than the kinematic example, the correlations are between objects that measure and the objects being measured! (ii) if these properties are always true under any check we can make there is no way to falsify. Then it doesnât matter if the behavior is from some unimaginable underlying universal state space geometry or local quantum effects. This same argument could also be applied more generally and inappropriately to reduce any experiment to âthatâs just the way the structure of the universe isâ.
It's quite deeply weird. It's basically looking at the seemingly impossible correlations that occur in quantum mechanics and saying that they happen because the decision about what to measure is correlated with the state of the system somehow (Bell's inequality assumes that these are independent). This is very strange in a universe where we apparently could base that decision on many different seemingly unrelated processes. (including processes that have been causally seperated for near the lifetime of the universe, e.g. by choosing the measurements based on noise in the CMB).
If you saw that in section 15, the very next paragraph covers Bell.
Unfortunately, this work perpetuates the misunderstanding of Bell's theorem and its implications with respect to hidden variable theories. See the Scholarpedia article on Bell's theorem for an in-depth discussion, including quotes from Bell himself, deeply frustrated at the misunderstanding.
https://scholarpedia.org/article/Bell's_theorem
I see 502 bad gateway
It seems to be intermittent right now. Internet Archive can help.
https://web.archive.org/web/*/https://scholarpedia.org/artic...
I started to read from "3.1 The Ultraviolet Catastrophe" and this sentence
"The number of different wavelengths of electromagnetic radiation, N(λ)dλ, with wavelengths in a small interval between λ and λ + dλ, (dλ means a small interval in wavelength) can be shown to be proportional to 1/λâŽ."
doesn't make sense. It should not talk about a number of wavelengths, but the number of allowed standing-wave modes (number of eigenmodes that a mathematical solution to the electric field in the relevant situation has) in the small wavelength interval.
I used to struggle with quantum physics- in the same way many others do- in that the model is not intuitive to people who think in terms of billiard-ball physics. But, I think it's clear at this point that all the observable data from well-run experiments supports QM better than the alternatives. IN particular, the observation of matter waves and double-slit experiment on atoms were what finally made me accept it. Entanglement doesn't make any sense to me, but I'm assured it can't be used to transmit information faster than the speed of light, so I can live with it :)
How strange to see a familiar name here! I wasn't his PhD student but worked in the same department as Douglas Ross, and can only say that he was warm, extremely intelligent, with a very strong natural intuition about high energy physics, enjoyed puzzles, and wouldn't shy away from quizzing people giving talks. I remember he had a back and forth with a visiting speaker for about 20 minutes on some minutia!
I don't have much to add on the article itself except that it's almost certainly worth reading.
Also see https://news.ycombinator.com/item?id=50220891
I loved the book QED: The Strange Theory of Light and Matter by Feynman as a child. Funny enough I always saw QM from a path integral PoV, a decade before I got to learn the formalism
"I have used many photos and drawings which I have found on the Internet, and in many cases the source of such photos and drawings is not clear. I have assumed that images which appear on the Internet are in the public domain and do not need to be individually referenced."
That's a pretty bold assumption.
I've always said (and been duly downvoted for it), "Don't want people to take it and reuse it? Don't put it on the Internet."
Sadly, being right about something like that does not, in fact, automatically entitle me to founders' shares in OpenAI or Anthropic. But I'll keep preaching it, nonetheless.
I take issue with "understand". I agree QM can not be understood in terms of everyday experience. One must build experience, language and proper metaphor for the understanding. For example, in the intro Ross uses the example of explaining a waterfall to someone who never saw it. He says that can be done but he relies on implicitly the listener knowing what people on Earth may take for granted. That understanding of a waterfall can only happen if the listener already has some understanding of fluid flow and gravity. We do, but say a newly found alien friend from a dry environment that had never experienced fluid flow would not have the mental building blocks to understand it. Feynman gave a famous interview where he said, essentially, "no, I can't explain it to you because you are too ignorant" (he said it more politely). Going the other direction, Physics steeped enough in quantum theory do understand QM enough to have meaningful discussions free (at times) of rigorous math. They do this because they have a shared language, vocabulary, metaphor. Sure, they must rely on math and experiment to ground that understanding in truth but I guarantee they do not communicate understanding (solely) in math and measurement data.
What interview was that?
The famous interview I know is when he said:
"I really can't do a good job, any job, of explaining magnetic force in terms of something else you're more familiar with, because I don't understand it in terms of anything else that you're more familiar with"
His point was that fundamental forces cannot be understood as "like" everyday objects, because we don't "understand" everyday objects except as applications of fundamental forces. Using those things to explain fundamental forces would just be circular. He can tell you that a stretching rubber band is due to the electric field, but he can't then turn around and "explain" that the electric field is like a stretching rubber band! Fundamental forces just are, and you understand them by studying them.
A useful analogy might be understanding quantum mechanics versus understanding a computer. In the early days of computing, an engineer might plausibly have known every component in a computer, understood how these components worked, and understood why each one was there. As computers got more complicated, no longer could anyone understand the entire system on that level. But still, as an individual engineer, you can understand the system at a high-level, and for each lower-level component, you can have an approximate idea of why it's there, what it does, and how to learn it in more detail if you ever have to. Any "why" question that you might have about it has a straightforward answer that can be stated in a few sentences.
With quantum mechanics, there's a lot that you have to accept when you learn the subject without understanding why. Why complex numbers? Why infinite-dimensional Hilbert spaces? Why non-commutative algebra? You can kind-of, with great effort, make arguments that all of these are at least reasonable. But nobody really understands "why" at a level beyond "because the theory works".
Thatâs not the meaning of âunderstandâ that was being used. This article points out that nobody understands QM well enough, not even the experts. (Do note the author is an expert!) By âI Donât Understandâ, what he actually means is that QM is incomplete in the same way that Newtonian Mechanics is incomplete; it doesnât explain physics well enough to understand or explain whatâs really there. This is, of course, why thereâs an ongoing debate among the experts about what QM even means and how to interpret it.
You can imagine waterfall of sand - the fluidity here comes from all those small sand particles moving simultaneously.
>>>Physics steeped enough in quantum theory do understand QM enough to have meaningful discussions free (at times) of rigorous math.
That sounds a lot like gate keeping and has no actual backing - to understand QM you still need to understand Physics, as mechanics of both of them are explaining each other - the scale is the only difference.
The idea is that you can discuss using hand waving while drinking coffee, but after that you must write the complete mathematical calculation, so there is no gate keeping.
Most of the times the formal version with equations agree with the hand waving, but sometimes you have nasty surprises and must learn to hand wave better.
Why can AI generate pictures of waterfalls if it has never lived on Earth?
"I think I can safely say that nobody understands quantum mechanics."
- Richard Feynman
Whether this was even true in Feynman's time, it's much less true now.
With the meaning that Feynman meant it was true then and now. From QED:
>The next reason that you might think you do not understand what I am telling you is, while I am describing to you how Nature works, you won't understand why Nature works that way. But you see, nobody understands that. I can't explain why Nature behaves in this peculiar way.
I also like "If you think you understand quantum mechanics, you don't understand quantum mechanics" which is supposedly also from Feynman.
I think it's one of those famous quotes that was never said. The one I quoted was what he apparently said.
Similar to a quote from Niels Bohr, "those who are not shocked when they first come across quantum theory cannot possibly have understood it".
Quantum _mechanics_ cannot be understood, it is full of paradoxes. It contradicts classical EM and special relativity, among other things. A toy theory that was an important step to what came later.
Feynman's own QED is a part of QFT, but this is no longer quantum mechanics. Special relativity and quantum physics are reconciled since then. Now, we only need to reconcile GR and QFT, but this leap was so far beyond our attempts to scale it. Yet, QED/QFT/SM can be "understood" as there are fewer obvious paradoxes that plagued QM.
Unpopular opinion I think, but I still believe the physics world was wrong to chase the Copenhagen interpretation.
The math does indeed work, and many experiments and practical uses seem to show that there is something to quantum broadly. But to throw determinism out the window and believe that quantum is fundamentally probabilistic, and that one can never really run scientific experiments because observing state collapses superposition, has always seemed asinine to me.
I could be completely wrong, but it's always seemed obvious to me that the need for probabilities in quantum is a clear indicator that something is missing in the theory. I'm never surprised when a person can't understand quantum as its described today.
It's completely counterintuitive, but that's how it works experimentally. For example:
Measure the spin of electrons in direction X (that's done with a weirdly shaped magnet). You'll get either +1 or -1 in a conveniently chosen unit system. That's already weird, you'll never measure +0.5 for example. Keep only the +1 electrons. You can measure them again and again, you'll always get +1 in the X direction.
Now measure those electrons in the Y direction, you'll also get either +1 or -1.
But now, if you measure in the X direction again, you'll get +1 or -1 with 50% probability; although before measuring in the Y direction, these electrons always had spin +1 in the X direction.
Oh I get that experiments prove out. What has always been unintuitive to me to the point of seeming wrong is that said spin is random and lives in a probability cloud that is probabilistic only until we observe it.
The math works and the experiments work, but it feels like a broken clock situation. It happens to correlate well, but the understanding and models are missing something in the actual underlying physics that, if understood, would throw the whole randomness part out the window.
> [the] spin is random and lives in a probability cloud that is probabilistic only until we observe it.
My mental model of it is kinda reversed. The maths assign a specific, deterministic state to each electron between each measurement. However, the "left" state is equal to "(up + down) / sqrt(2)". It then follows that when we measure an electron that is in the "left" state along the vertical direction, we get 50% up and 50% down: the probabilistic behavior happens when measuring, which "forces" an electron that was in the "left" state to become either "up" or "down".
I agree though that it would be less frustrating if there was some property of the electrons that would allow to predict in which state it'll collapse.
This is called the "measurement problem" and nobody has a good answer to it.
It has been shown that you can keep determinism (Bohm etc), but what follows is not necessary something you'll find more intuitive or cleaner or more logical.
I haven't been sold by pilot-wave theory, adding hidden variables to attempt to get rid of randomness feels like a cheat rather that a realistic view of how reality would work.
Unrelated, but I also wish scientists properly used the term "theory".
Reality is in no way constrained by what you feel is realistic.
Why should it be asinine? The universe is under no obligation to be understandable to humans.
Completely agree. I'm happy to accept that I won't understand it, I take issue with the idea that some believe they do understand it and that the universe is based on random probability that can't be measure or scientifically measured without ruining the test.
me neither! How does the Einstein Rosen Podosky Paradox work? can the unknown that's being collapsed not be a pre-determined value that therefore is not traveling faster than the speed of light?
>can the unknown that's being collapsed not be a pre-determined value that therefore is not traveling faster than the speed of light?
This is known as a "hidden variable theory". People will tell you that a local (things can only affect their immediate surroundings) version of the theory is impossible because it would be a violation of Bell's inequality, but there is a loophole that requires accepting the idea of "superdeterminism". This is the idea that where what measurement a scientist chooses to measure is predetermined and correlated with what the particle being measured is going to do.
So if a particle lands on a screen according to distribution p when going through a double slit, but with distribution p' when one of the slits is measured at, conventional QM says that the measurement "collapses the wave function". But a superdeterministic local hidden variable theory would imply that the choice of whether to measure at the slit or not was already set in stone at the same time that the particle "decided" which path to take to land on the screen, more or less.
If you split up an entangled pair of particles and measure them in a the same 50/50 basis simultaneously (sort of like a coin flip) at distantly removed places, the results will be individually random but perfectly correlated when compared with each other. It seems natural to assume that something here was pre-determined. i.e. There's was some kind of hidden information that we haven't found a way to measure yet. The way in which the coin-tosses were going to pan out was determined when the pair of particles were entangled.
Quantum physics makes predictions that suggest this isn't so. You can design experiments (e.g. A Bell inequality test) in which quantum physics predicts correlations that go beyond what would be possible with some hidden local information attached to the entangled particles that we just don't know about. Experiments don't prove theories to be correct. That's not how science works. However, experimental tests of Bell inequalities have pretty conclusively shown that local hidden variable theories are inadequate to explain what's going on.
Yes, it appears what Einstein called "spooky action at a distance" seems to propagate close to instantly. It's important to appreciate that you can't transmit information this way though. We can only make sense of the quantum correlations after communicating other information at classical speeds. Sometimes you see quantum entanglement devices allowing FTL communication in sci-fi, but that's pure horse hockey.
That all being said, I don't understand quantum physics either.
One of the "coping mechanisms" is to say that information cannot travel faster than light, even if entanglement is propagated instantaneously and measurement acts faster than light. If Alice and Bob share an entangled pair of spins and Alice measures it, Bob has gained no information until Alice communicates (sublight speed) her result. No new information is shared at measurement time. This is known as the no-communication theorem.
I don't think that's correct? Alice knows immediately what Bob's result is going to be as soon as she measure's it. The travel faster than light part that many people (including Einstein) take/took issue with includes this as an effect. More generally put is that if spin is in a superposition until measurement collapses it into a known quantity, then the result of the collapse itself is somehow propagated to the other entangled particle instantaneously.
https://en.wikipedia.org/wiki/Hidden-variable_theory
"IS QUANTUM PHYSICS CORRECT AND COMPLETE?" is reductive, there are more quantum denominations: Copenhagen, QBism, RQM, consistent histories, Many-worlds, Bohmian mechanics, and various spontaneous collapse people. I might've missed a few.
This makes me wonder if we could also argue that there were multiple denominations of classical mechanics. Newton's laws, Hamiltonians and Lagrangians come to mind. I recall that people including Newton were also unsettled by Newton's law of gravity ('action at a distance')[1] and tried to come up with more 'intuitive' theories. The one where the law of attraction arises from being bombarded by particles from the universe (screening) was an amusing one that doesn't work due to thermal effects [2].
[1] https://en.wikipedia.org/wiki/Action_at_a_distance [2] https://en.wikipedia.org/wiki/Mechanical_explanations_of_gra...
> The one where the law of attraction arises from being bombarded by particles from the universe (screening) was an amusing one that doesn't work due to thermal effects [2]
But isnât that how EM actually works ?
The photon mediates the electromagnetic force
A Bohmian Rhapsody, you say?
Yes this is a particular interest of mine, the various interpretations of QM. Most physicists subscribe to the Copenhagen interpretation, but I still find it has philosophical quandaries. He mentioned many-worlds. Bohmian mechanics has been shown to be inadequate.
Blokhinstev's ensemble interpretation, which I like, is unattractive to many.
Situation: There are 12 major interpretations of quantum mechanics.
Quantum Bayesianism (QBism): We need to eliminate the interpretational conundrums that have beset quantum theory. A quantum state should not be thought to offer a description or representation of physical reality â instead it represents the degrees of belief an agent has about the possible outcomes of measurements.
Situation: There are 13 major interpretations of quantum mechanics.
https://xkcd.com/927/
No one on earth understands it perfectly.
We understand quantum mechanics well enough to build machines that depend almost entirely on quantum principles.
It sounds all superior and mysterious to quote Feynman here, but the fact is many people absolutely do understand quantum mechanics.
>It sounds all superior and mysterious to quote Feynman here,
It isn't about being superior, mysterious, or clever. The following "nobody understands" type of quips and thought experiments are different ways of saying our intuitions don't help us understand it :
- "God does not play dice with the universe.", Albert Einstein
- "Shut up and calculate", N. David Mermin
- "Schrödinger's cat" being both alive and dead
- various interpretations/analogies explaining quantum physics leading to absurdities or contradictions
Yes, humanity has harnessed quantum mechanics with mathematic frameworks and repeatable experiments to make useful things... but that's a different layer of "understanding" than the deeper levels in the above quotes.
"Nobody understands what gravity is." ... Wait, if nobody "understands" gravity, how did we send people to the moon?!?
Because those are different usages of the word "understand".
"Understand" means "Have a reasonable metaphor for."
Our monkey minds evolved to throw rocks at birds, and our metaphors are based on concepts like position, velocity, and temperature. We added first-level abstractions like energy and cause-and-effect, then built higher level abstractions on those basic concepts.
QM clearly doesn't work like that. It's probabilistic, possibly non-local, possibly subjective, possibly a holographic projection of some underlying reality that is nothing like this one, and its relationship with causality is slippery.
We have a mathematical UI for it, but that's not at all the same thing as understanding the machinery on the other side of the UI.
A very sharp and succinct statement of the problem!
I think the disconnect here is the use of the word "understand". What Feynman presumably meant was really "interpret" not "understand", and theories are not made to be interpreted - they are made to make experimental predictions.
Many people of course, Feynman obviously included, understand the theory in the sense of knowing how to correctly apply it to make predictions.
If one does understand quantum mechanics well enough to use it, then one also understands that there are aspects of it we do not fully understand.
You can make an identical argument with respect to classical physics, e.g. outstanding issues in fluid dynamics or statistical mechanics.
Nobody takes this to mean that classical physics is generally incomprehensible.
The difference is that the part we do not understand about QM is rather fundamental to its interpretation, while in classical physics it is more a problem of understanding its consequences in complex scenarios.
Canât we say the same about LLMs? Yet interpretability of them is rough.
We can build black boxes and exploit the behavior of what we see.
But we canât always go to deeper and deeper layers of understanding.
QM is not a black boxes we built but one could perhaps say itâs a black box that we see.
No, I do not claim I am expert at understanding at how LLMs operate, but there is a huge difference - we can measure changes in models and even identify what part of model is used - it is clearly a niche thing to do and not particularly interesting to many people(and not to me as well, unless those LLMs will be able to replicate brains - in future, then I would be biting my nails that I have ignored the basics), but there is no such issue on dissecting and identifying how bits are shuffled around, unlike with QM.
For QM the main issue is that we are barely able to see results of that black box and have to make guesses even about observable results, because what we see is result of particle long gone and the result has been a mess of paths that it took. And basically we are operating at identifying single particle, while clearly the path that particle took was defined by other particles and "gravity"? from interacting with other particles bumping it around. I'm even less knowledgeable when it comes to QM terminology, but I get impression that most of the commenters here simply are parroting things they have read or being taught without actually trying to understand and taking into account all the unresolved problems in QM, which is why so many of them sounds so confident is my guess. Because knowing limitations of my brain I would be not so confident of anything, only because of massive load of unresolved issues that QM has.
Listen, people were able to make calendars by observing skies and assuming that Sun was orbiting Earth. It is not exactly the same, but very much how people understand QM - they do not need to known mechanics, but observing end results is enough to "understand" how it functions.
Also billions of people understand how to operate mobile phones, but "understanding how they operate" would be rather stretch and even the biggest specialists of QM have understanding only on how to interpret end results in QM - at best and that is basically it.
Quite frankly, I'm confused about these bold statements. I assume there seems to be some knowledge background of what you are saying - it very much reminds me what stupid strawman arguments I had in high school with my schoolmates then as a part of learning process, but rather far from actual wisdom.
Forgive my ignorance but which machines depend almost entirely on quantum principles?
The processor of the computer you are writing your question on is using tunnelling transistors.
Modern processors are designed to minimise quantum effects, because phenomena like tunnelling create inefficient leakage currents.
All the idea of valence and conduction bands depends on quantum effects. The holes are quantum effects, the electrons are not plain electrons and in particular they have an effective mass that is not equal to the mass of a plain electron traveling in vacuum.
Anyway, I prefer LEDs as an example.
Or we understand just enough to make things and instruments that only work on (and up to) the layer that we understand.
Ancient humans could build boats 5000 years ago and expand throughout the planet, but they didn't know about water being made up of hydrogen+oxygen, or the tides being caused by the moon, etc.
Their calculations served them on the layer they operated on.
> the tides being caused by the moon
Mostly because people around the mediterranean sea didn't have to care, tides being so small there. Yet the Greek had fairly advanced models of tide schedules.
Pretty sure peoples that were experiencing bigger tides and depended on it e.g for fishing figured out the relationship with the moon pretty quickly, whatever esoteric reason they may have plastered upon it.
We understand part of it but not how it works.
does building those machines require us to fully understand quantum mechanics?
Saying I don't understand Quantum Mechanics is like saying, "I don't understand how attention/transformers explain the human brain."
It doesn't. It's model. All models are wrong (including quantum mechanics and attention) but some are useful. You understand the domain of the model, the problems it can solve, the math behind the models and use the model to make predictions. If you are competent at linear algebra and functional analysis, you can do quantum mechanics.
If you make the error of believing that quantum mechanics is ontological god's honest truth of nature, you will end up with blunders like using it to explain consciousness like Prof Penrose. His math was impeccable, but he was making a category error.
Don't take the title too literally. It's an article aimed at lay people, using a typical lay person's expression as the title.
The trick to a top HN comment is to basically reflexively react to the title with no regard for the substance of the relevant article. Amusingly, pointing out this self-evident truth is itself frowned upon and more offensive than the described trick, according to the sacred text.
I disagree. The human brain is difficult to understand due to the extreme complexity. Quantum mechanics is weird even for simple arrangements of a few building blocks such as the double-slit experiment or Bell tests.
Are you implying that on a basic level or for simple arrangements transformers do explain what happens in the brain? If so, I would be curious to hear how.
Quantum physics is a theory, as in "as far as we can tell, this is an exact mathematical description of the world".
Models are simplifications/approximations made on purpose, as in "I know this is wrong on some level, but it's close enough for my use case", or "this makes the maths solvable".
As someone with a degree in physics and math, I find the line you're trying to draw rather blurry.
> Quantum physics is a theory, as in "as far as we can tell, this is an exact mathematical description of the world".
Is it?
If by "mathematical exactness" you merely mean we have somehow been able to produce some numbers that later on we measured in experiments, then yes. (Though we haven't been able to produce such numbers in all cases, see e.g. [0].)
I my book, though, mathematical exactness means your model is mathematically consistent and is applied with the necessary mathematical rigor.
Quantum mechanics and quantum field theory, as they are commonly taught in universities, are everything but. They are a bunch of concepts and recipes that, albeit successful, are held together loosely with duct tape and lots of hand waving to make you ignore the logical gaps & jumps and the fact that many of the "mathematical" objects physicists refer to don't even exist[1]!
[0]: https://www.scientificamerican.com/article/this-simple-exper...
[1]: Haag's Theorem, AizenmanâFröhlich Triviality Theorem, etc.
Iâm not sure most physicists would make that specific distinction between "theory" and "model". We know QM is wrong or at the very least incomplete as long as thereâs no theory of quantum gravity. Every theory, like every model, has a domain of applicability and gives wrong or even nonsensical answers when applied outside its domain.
What a theory is, is more like a model (or maybe meta-model) with a particularly broad scope or high explanatory value, often a mathematical framework that gives a common foundation and theoretical justification for multiple experimentally-derived models.
This is really a misunderstanding of what quantum mechanics is. It's not a particular theory. It's a category of theories that fit into a certain framework.
Quantum electrodynamics is a quantum theory. Quantum chromodynamics is a quantum theory. String theory is a quantum theory. I'm sure there is a correct quantum theory of gravity - we just don't know what it is yet.
This is an important distinction. Quantum mechanics as a framework is the correct description of reality as far as we can measure (excluding some loopholes like superdeterminism). This is as close to the foundation or "god" or whatever you want to call it as it gets. If you look at specific quantum model descriptions (like the Schrödinger equation), we know they are not complete. Even relativistically correct Dirac equation is still not the full picture, because we don't fully understand how gravity fits into this on short length scales. But the current principles like Bell's theorem exist independently with all their implications on our reality and they will not go away, no matter what else we discover at the bottom.
>>>Quantum physics is a theory, as in "as far as we can tell, this is an exact mathematical description of the world".
... which "we think" is functioning that way not to mention that theory itself might be wrong and be replaced as most of the supporters of quantum theory doesn't seem to look on it as something that explain mechanics of it, but rather how magic of "unexplainable" quantum mechanics works.
Eh I would disagree on such a sharp distinction. Both quantum mechanics and general relativity are theories, and we know that both of them are not accurate descriptions at all scales.
Heck your descriptions of a model is also what we would call an effective theory (i.e. a description valid for a specific range of parameters/scale).
I don't think there's a commonly agreed difference between model and theory and I sure have heard many physicists use them interchangeably when it suits them (and I'm guilty of it myself). Perhaps theory feels 'wider', as in quantum theory encompasses models for many quantum systems, but that's as far as I'd go.
It all reminds me of my favorite Asimov quote:
> [...] when people thought the Earth was flat, they were wrong. When people thought the Earth was spherical, they were wrong. But if you think that thinking the Earth is spherical is just as wrong as thinking the Earth is flat, then your view is wronger than both of them put together.
QM is accurate at scale. This is the correspondence principle. Itâs just not useful at scale
One problem with your analogy is that transformers do not even attempt to model the human brain, while Quantum Mechanics does attempt to model real physics.
> All models are wrong
That famous quote could use attribution: https://en.wikipedia.org/wiki/All_models_are_wrong
> If you make the error of believing that quantum mechanics is ontological godâs honest truth of nature
This is why science & experiment exists. The author holds no such belief, and the paper makes that very clear. That is what he actually meant by âI Donât Understand Quantum Physicsâ. Jump to the very last section, âIs Quantum Theory Correct and Complete?â Heâs pointing out the confusing and contradictory nature of the model so far, and saying that Quantum is incomplete and needs work. He is not making any category error.
>That famous quote could use attribution
It could, but doesn't need it.
That models are not direct truth is just logical. If there were such a thing that were indistinguishable from the direct truth, it would be the direct truth, not some other thing called a model.
This is why I've never understood the "revalatory" nature of Godel's incompleteness. Of course any axiomatic system must not contain all truths. Axiomatic systems are models and models can't contain all truth. If an axiomatic system contained all truth it would just be all truth rather than some other thing called an axiomatic system.
The only case in which Godel's argument surprises is the case in which one has a fundamental misunderstanding of what a model can and cannot be, which I suppose must have been more common in his time, but I was really confused when my highschool teacher went to great lengths to explain that a model cannot contain the whole truth because...of course it can't?
> of course it canât?
If obvious, can you prove it without reading Gödelâs proof or anyone elseâs?
The important (2nd) part of Gödelâs proof is not that a model canât contain all truth, itâs that a model cannot prove itself true, which is a far stronger statement than the intuition you describe. Of course, belief that your own intuition is independent of history is also highly questionable; you were raised and educated in an environment in which people were already aware of Gödel. Itâs like saying the number zero is obvious (which it is now) despite the fact that it took thousands of years before it was used formally as a number. There was a time when it wasnât obvious to the smartest people alive.
Note that formal axiomatic systems arenât physical systems; what Gödel was talking about and what George Box was talking about are related but somewhat different concepts. It is obvious in physics that a parabolic ballistic trajectory model doesnât account for air turbulence. Itâs not at all obvious that all of math itself is guaranteed to produce contradictions and cannot prove itself, especially if youâre allowed to change math or use any system you want.
If I present a novel, unique axiomatic system, with no intent that it refers to anything in the world, what is it a model of?
I think the vast majority of physicists have been perfectly able to avoid Penrose's error. I would also think the lesson would be simply to strive to avoid making errors or the kind he did, not necessarily to sacrifice realism about physical objects just to avoid the possibility of someone's mistake. Plenty of people, in fact I would say many more people abuse the observer effect in QM to make crackpot claims about consciousness. But it doesn't mean the observer effect is wrong.
I also think you can be a realist without having to make the jump to ontological irreducibility. You can say that our latest theory is a better approximation than the previous one and the previous one was an approximation as well.
What a strange statement. Quantum mechanics is a physical model of the world. Attention and transformers are not. They can be construed into one in principle, but they are not models of the world themselves.
Yes, but even with a model, you should aim for some serious intuition as to how and why it works.
Penrose has fallen into the same logical fallacy that many older, retired theoretical physicists have (notable einstein?).
> It doesn't. It's model. All models are wrong (including quantum mechanics and attention) but some are useful.
Sure, but what if you donât understand the model?
Somehow hacker news makes the top comment about some weird unrelated ai take. So unrelated. The take mostly doesn't make sense either.
Your username checks out. Time to shine?
There are only a few things that I think are exactly correct in physics, and quantum mechanics is one of them, alongside Relativity.
Quantum mechanics is a framework for how theories are built, not a specific theory, and it's really all or nothing. There's not much between the quantum and classical ways of viewing the world.
Both cannot be âexactly correctâ at the same time. And most likely, neither are.
Indeed. The classical view is wrong, and the quantum view is correct.
But it just turns out that there's a limit in which the quantum world looks approximately classical.
I think the GP meant that quantum theory and relativity are incompatible and thus both cannot be exactly correct at the same time. Not referring to quantum vs classical.
Indeed. I know itâs a lazy way out because I donât have to assume anything about the actual correctness of either, given that they are famously incompatible in the details.
But as a physicist I have no illusion that any of our theories are actually true. They are all models that help us making sense of an unimaginably complex universe.
> exactly correct in physics, and quantum mechanics is one of them, alongside Relativity
what about gravity? If we don't know the correct account of that, how can we know those are exactly correct?
>>>There are only a few things that I think are exactly correct in physics, and quantum mechanics is one of them, alongside Relativity.
...unless I have understood it otherwise, but quantum mechanics is still an approximation of things we simply are unable to measure individually - mostly because of speed and have to resort to guessing that approximation of that limited time period, which is still too long. It would be the same as trying to guess position of a ship during voyage across the ocean and taking the smallest measurable time period as 100 years, in which the ship has been already sunk out of existence, while smaller time period would have given us better picture and quantum mechanics that we are able to use has exactly that issue - we are unable to measure and record particles at smaller time intervals. At best we can see trajectories of particles long gone.
Also, this book is not agreeing with your statement, to me which sounds like Religion(because you have no explanation at all!) and should not be part of Science.
Author: Prof. Douglas Ross of Southampton University - https://www.southampton.ac.uk/~doug/
And in case it wasn't already obvious, that URL indicates Doug was at the University for a long time. The University stopped letting even its staff pick a username years ago, maybe even decades ago and the default assigned usernames are... a bit dull.
Your colleague i presume?
He also wrote another similar popular article on Relativity, I DO Understand Relativity - https://news.ycombinator.com/item?id=50220891
With article titles like these, i just had to share it on HN!
Somebody should work on the above two webpages to make them more readable with html+pdf formats. That would make these more accessible to the "interested layman".
Addendum:
The author also wrote a sequel; I DO Understand Relativity - https://news.ycombinator.com/item?id=50220891
So do the rest of us.
When I learned about causal sets program and algebraic quantum field theory, I finally (somewhat) understood quantum physics.
Tl;dr spacetime does not exist as a global background where things are "placed", it is not ontic. "Things" are first, and spacetime is derived from interaction statistics of "things". This eliminates nearly all naive paradoxes like double slit etc. Now, these "things" are somewhat complicated and non-intuitive (e.g. there are no individual "particles", they are a limit of discrete distributions), but that's a good start.
Sorkin is great. I think causal sets make some things simpler but other more mysterious. I also found tâ Hooftâs automata and Spekkens toy illuminating in different ways.
"Was", unfortunately. He died this September. What a loss, he earned a Nobel long ago.
I am so sorry to hear this. I enjoyed visiting his web page July, when I came upon a couple of emails he had there, which were eye opening as they made some of the philosophical thoughts behind causal sets much clearer. A huge loss, but he did contribute amazing work.
Wave function collapse is a misnomer. We now know that weak measurements do not collapse the wave function but rather drives the probability amplitudes of the states towards an eigenvalue. For those familiar with linear algebra recall that power iteration of a matrix with a random vector will yield the matrices eigen vector given enough iterations. Collapse is similar to this phenomenon but non deterministic.
My theory: The reason we perceive collapse as irreversible is because the computational complexity of reversing the equations is very high. Especially as the state converges towards an eigenvalue of the measurement operator, it becomes more difficult to reverse. This is similar to how a hash function is reversible in principle but not practice. My two cents.
Many worlds and such are just pseudo religious nonsense.
Itâs easier the accept quantum physics if you first
1) Disregard many worlds as a purely remaining mathematical outcome of bounded probability rather than discrete reality. (No 1 thing exists just 1ish things but ultimately that doesnât mean there are many versions of any give 1)
2) just accept you canât find the âstuffâ of reality. You simply measure increasingly small probability domains which interact with other probability domains
3) time is the sequential working out of probability of anything existing and other things that might exist co defining themselves.
4) space is just the interaction of these probabilities working themselves out into a stable projection.
Many worlds is a mathematical construct of our inability to measure specific dimensions hyper locally and an artifact of that. Which for some reason the entire scientific community mistakes as a real observation of reality.
Just because at a quantum scale everything becomes potential doesnât mean all potential has been manifested.
It baffles me that so many serious scientists donât understand this basic tenet.
This deserves a [pdf] in the title.
The key aspects of quantum physics can be explained very simply. The issue is going in depth without those basics. I often find if someone doesn't get Quantum Physics, it's that source or you need the steps explaining more in-depth. Often sources assume your base knowledge and that is where many fall flat.
Imo it's a bunch of rules and if u follow them you get accurate answers. What more is there to understand? It seems very unlikely that aspects of the universe more removed from our macro-scale existence would make sense or be comprehensible to beings whose minds evolved for hunter-gathering and social dynamics in Pleistocene Africa.
There's a section at the start that talks about what "understand" actually means.
It cannot be usefully analogized to things you can experience (or even to other things you might already understand).
2 things to understand about science:
It's useful, not metaphysically real. (Hot take btw) This is called Instrumentalism. The belief that it's real is called Scientific Realism. However over and over again, science can't cover edge cases, and we find better fitting models. The Copernician revolution is a good example of this dichotomy.
2. Academia basically forces you to believe the doctrine or you fail the class. From philosophy to physics to sociology. If you read the philosopher survey, you will find trendy things being quite high. It's a religion in itself.
Bonus 3: Philosophical Pragmatism and Instrumentalism generally solves this, but is intellectually a dead end. There is a reason analytic philosophy continues despite gaping holes in linguistics (late Wittgenstein) that ruin it. But at the same time, best fits might be missing a new paradigm. I wish I could tell people to ask AI to explain Hegel to understand, but I think people need to read it themselves.
Tl;dr: quantum mechanics is the best we have. It's definitely wrong, but it's the most useful we have.
> 2. Academia basically forces you to believe the doctrine or you fail the class.
Yes, but if you can make a reliable experiment that disagree with the doctrine, it will change, even if everyone hates the idea. In particular https://en.wikipedia.org/wiki/Wu_experiment
I disagree. Science is what we do to find out what is the case, i.e. real. The fact that it also has useful applications is directly tied to the extent to which the findings are real. It works because it describes something real.
Things being might be real in a specific point in spacetime, but that they are real is independent of time. However what Science "claims to be real"[0] is dependent of time. You can't know that the realness is the final understanding. The closest you can come to believing things are real, is that you can't think of an experiment that falsifies them. But you can't really know for sure, that falsifying is impossible. How do you solve that? I don't have that problem, because I agree with your parent, but this is what I thinks contradicts your understanding of Science.
[0] I personally don't think Science concerns itself whether things are real, only whether the result of model and realness match, but that's what we are discussing here.
This is what they teach in school.
If you read late Wittgenstein or Karl Popper, you will find that science is a useful simplification. Rorty is boring and not useful, but he kills any sort of Realism.
The 3 gigantic holes:
1. It's all language. (Wittgenstein)
2. The edges of systems do not connect with each other.
3. There are exceptions to everything.
I know that might seem a bit generic, but these are the major flaws in the philosophy of science.
I was a true believer too.
If you ever want to learn a ton about science, read Popper. He tortures himself, but he's also scientific meta.
I guess that depends on what you mean by "real". I've always taken the scientific method to be about creating theories that correctly predict experimental outcomes, which is to say that utility is primary.
I guess if/when we discover a theory of everything then we could claim "this is real/reality", but what would that even mean other than modelling reality/outcomes with 100% fidelity?
My question is, if I just refuse to believe in quantum physics, that makes it go away and/or be inapplicable to me, right?
Uh oh, some people have no sense of humor =\
(2018)
2018 ragebait?
>> but we have to live with this strange idea if we accept that Quantum Physics describes Nature correctly.
That depends on how you define nature, world and universe. For me nature is defined by things that can be perceived by human senses.
So an effect that kills are humans wouldn't be real, as long as it kills faster than you can perceive. Are things predating humans not real?
So, not gravity or radio waves?