It's worth noting that Mitchell Porter's true objection to Many-Worlds is (if I recall correctly) his conviction that quantum phenomena are at the root of human consciousness and qualia, and that this would be ruined in the Everett interpretation.
I don't think that's very relevant in this context. There are other people who aren't enamored with the section on MWI in the sequences, for reasons including those Mitchell outlines here.
He very carefully wrote this post to avoid his real objections and instead come across as a neutral-point-of-view expert. I found this disingenuous, and I think that the context might be especially helpful to readers who haven't been around for all that long.
I wrote the post in order to get a hole in the logic of the Sequences fixed. And the argument I presented was chosen in order to be as simple and convincing as possible: the existence of a whole class of interpretations that are unaddressed in the Sequence, and which exist at approximately the same level of qualitative plausibility as many worlds, when judged by the pre-Copenhagen standards of mathematical physics.
You're also wrong about my "real objections", in two ways. The way you put it was that I want consciousness to be explained by something quantum, and MWI kills this hope. But in fact my proposition is that consciousness is based on entanglement - on a large tensor factor of the quantum state of the brain. MWI has no bearing on that! MWI is entanglement-friendly. If some other version of quantum theory says there's entanglement in the brain, that entanglement will still be present in many-worlds. (Retrocausal theory is actually much less entanglement-friendly, because it generally doesn't believe in wavefunctions as physical objects.) My philosophy-of-mind objections to MWI-based theories of personhood have to do with MWI tolerance of vagueness regarding when on...
The Quantum Mechanics sequence is a failure - but fixing the physics is not the solution.
The point of the quantum mechanics sequence was the contrast between Rationality and Empiricism. Eliezer argues that the rational response to uncertainty when empirical evidence is absent or equipoise is to assign higher probability to the simpler explanation. But by writing at least 2/3 of the text about quantum mechanics, Eliezer obscured this point in order to pick an unnecessary fight about the proper interpretation of particular experimental results in physics.
Even now, it is unclear whether he won that fight, and that counts as a failure because MWI vs. Copenhagen was supposed to be a case study of the larger point about the advantages of Rationality over Empiricism, not the main thing to be debated.
The point of the quantum mechanics sequence was the contrast between Rationality and Empiricism. Eliezer argues that the rational response to uncertainty when empirical evidence is absent or equipoise is to assign higher probability to the simpler explanation.
Schoolkids often learn about this with Ptolemy vs Copernicus, I believe. It's a much less confusing example.
I think the subtext: was: even professional physicists don't get it.
It's hopeless to suggest rewriting the Sequence, I don't think that would be a good use of anyone's time.
Really? I would pledge nonzero money towards this goal.
Tim Maudlin developed an ingenious objection to the transactional interpretation which, to my knowledge, has not been adequately resolved as of yet. According to the TI, offer waves are sent forward in time from particle sources to absorbers. Each absorber responds by sending a confirmation wave backwards in time to the source. One of these transactions is selected with a probability given by the amplitude of the confirmation wave.
Here's Maudlin's objection: Suppose we have a beam splitter that can splits incoming beams of particles along two paths, call them a and b. On path a, at a distance l from the splitter, is a detector A. Let us suppose that a particle would cover the distance l in time t. There is another detector B that is initially also on path a, at a distance 2l from the source, behind A. If the detector A does not detect a particle within time t of the start of the experiment, then the detector B automatically swings onto path b, where it will also be at a distance 2l from the splitter.
Let's say the beam splitter sends half of the particles along path a and half along path b. This means that, for an individual particle, ordinary quantum mechanics predicts it will be d...
I'm curious about the following...
Would John Cramer's transactional interpretation require more complexity (at the level of the fundamental laws, rather than the amount of stuff in the universe) than the many worlds interpretation?
Roughly what proportion of the physics community backs it?
Is it a non-differentiable (or even discontinuous) phenomenon?
Is it non-local in the configuration space?
Does it violate CPT symmetry?
Does it violate Liouville's Theorem (has a many-to-one mapping from initial conditions to outcomes)?
Is it acausal / non-deterministic / inherently random?
Is it non-local in spacetime?
Could it propagate an influence faster than light?
Can it represent a non-linear or non-unitary evolution?
No God-damned puppies were harmed in the making of this comment.
Edit: As pointed out, one of those things is not like the others, so to carve at the joints, let's call the questions after #2 "the antimagic questions", and the idea that we should reject the suggested interpretation if we get "yes" answers to them the cuddly collapsing canine conjecture.
What I would like to see discussed on this occasion is not the physics, but rather how to patch the arguments in the Sequences that depend on this wrong sub-argument.
Personally, I am against linking MWI or even QM to rationality in any way, as the connection seems to be quite arbitrary.
Consider a matrix-like world, where the Universe is simulated on a classical computer (classical computers can do everything quantum computers can do, if slower). Would you deny that simulated humans can think and act rationally, only because the simulation does not incl...
Consider a matrix-like world, where the Universe is simulated on a classical computer (classical computers can do everything quantum computers can do, if slower). Would you deny that simulated humans can think and act rationally, only because the simulation does not include quantum mechanics? If not, would sim-EY not be able to write the Simquences (less the QM Sequence) which are identical (modulo QM) to the ones here?
You make a compelling case that the reference to QM in the sequences is at least as arbitrary as the fundamental physics of our universe. I'm not sure that this is quite as compelling and incisive a revelation as you believe it to be, especially to those who take Occam's Razor as seriously as Eliezer advocates. I'd actually say that this weakens your claim and that it would be better to argue, as Tim does, that the points Eliezer is trying to express don't come across nearly as well as they could.
Voted Up for precision disagreement.
Pros for Down: Claiming error on chain of reasoning without pointing the flawed link, treating a sequence as community manifesto instead of Elizers stance
Pros for Up: Topic that allows education of audience (QM), focused and individualized disagreement. introducing of a subfield of theory, voiced dissent
In favour of this de-bugging. One of the other glaring omissions from the sequence is discussion of modal interpretations of quantum mechanics. These are formally very similar to MWI (there is a wave function for the universe, there is no collapse) but the "many worlds" are interpreted as possible worlds (or universes), only one of which is actual. This approach has a lot going for it, common-sense wise.
Did we independently develop this "MWI and transactional interpretation are on roughly equal footing" rhetorical move? Just curious.
This whole post seems to be a conjecture about what quantum mechanics really means.
What we know about quantum mechanics is summed up in the equations. Interpretations of quantum mechanics aren't arguing about the equations, or the predictions of the equations. They are arguing about what it means that these equations give these predictions.
The important thing here is to understand what exactly these interpretations of quantum mechanics are talking about. They aren't talking about the scientific predictions, as all the interpretations are of the same equati...
clear idea of the role that "the winner is ... Many Worlds!" plays in the overall flow of argument
From what I can remember, part of the sequence explains correctly what predictions QM makes and part of it boldly asserts that MWI is the only reasonable interpretation. The former part is a fairly standard introductory text, it's the latter which makes the sequence unique, and the role of the "MWI is the winner" seems to be pretty central there. But I'd need to read the thing again to have a clearer idea. So, do you think it's worth the time to read (again) through the whole QM sequence to find the exact role of the declaration of MWI's superiority there?
Too much digital ink has already been spilled over this word "obvious"; I suggest we await the revised sequence and see whether or not EY will stick by "obvious" there before returning to the point at hand.
I'm curious about the following...
Would John Cramer's transactional interpretation require more complexity (at the level of the fundamental laws, rather than the amount of stuff in the universe) than the many worlds interpretation?
Roughly what proportion of the physics community backs it?
Is it a non-differentiable (or even discontinuous) phenomenon?
Is it non-local in the configuration space?
Does it violates CPT symmetry?
Does it violate Liouville's Theorem (has a many-to-one mapping from initial conditions to outcomes)?
Is it acausal / non-deterministic / in...
I'm not sure what you are exactly proposing with your suggestion to "patch the argument". Here is my understanding (possibly incorrect, I've not been here for long) of what happened:
Yudkowsky claims to have found a practically usable method of inductive inference that is superior to the mainstream scientific method. In order to demonstrate it, he picks an area where mainstream scientific epistemology failed to yield conclusive and satisfactiory results: the interpretation of quantum mechanics.
Armed with his superior epistemology, he sets forward ...
I have a problem with your Possibilist TI that I also had with original TI, and with almost every ontological interpretation except for Bohmian mechanics - I can't figure out what the ontology is; nor even what the mathematical object is, that represents reality in the theory.
If Einstein had had his way, reality would have been described by classical fields on a manifold. Mathematically the universe would be represented by some particular exact solution of the equations of motion. Even given that, we could still ask the ontological questions like, what is a property, what is a causal relation and why does it necessitate anything, and so on; but at least the mathematics would be clear.
Quantum mechanics also has a certain clarity, if you resolutely regard it as not ontological, but just as an algorithm for making predictions. The observables are what's real, but they are an incomplete description of reality, and wavefunctions etc are a recipe for making predictions, whose reasons for working are unknown and remain to be discovered.
A peculiar laxity regarding the notion of reality, and regarding what counts as an adequate specification of an ontological theory, entered physics when people started trying to regard quantum mechanics as a complete theory of reality, rather than an incomplete one; and many ontological interpretations have inherited some of these lax attitudes, even as they try to restore objectivity to physical ontology. At least, this is how I explain to myself the oddities that I keep encountering in the literature on quantum foundations.
I will give another example of an ontological interpretation whose mathematical basis I think is clear - and it's a "back-and-forth-in-time" theory like TI: Mark Hadley's idea that QM arises from subatomic time loops. Hadley's ontology is like Einstein's, fields on a manifold, but the difference is that the manifold is non-orientable, it's full of little time loops, and quantum mechanics is supposed to arise from the global consistency constraints imposed by the coexistence of innumerable coexisting causal loops. The idea may or may not work, but at least the mathematical starting point is clear.
One more example of non-clarity before I turn to TI: MWI. MWI says that reality consists of one big wavefunction or state vector - OK, that much is clear. The non-clarity in this case comes when you ask, what parts of the wavefunction or state vector correspond to observable reality? Are the "worlds" the components of the wavefunction, when decomposed in a special basis? Or do all possible basis decompositions produce another, equally real set of worlds? Etc., lots of questions which have been raised many times on this site.
Now to TI. Let me give an example of an ontological claim that might have been made about TI, which would have provided a clear starting point. It could have been claimed that what exists are particles and fields. The particles trace out world-lines, the fields do their thing. And then the TI claim could have been, that the fields can be decomposed, in some specific way, into a particular set of advanced waves and retarded waves, which can be arranged into the "pseudo-time sequence" making up a "transaction".
That sounds like a clear starting point to me. And then the challenge would be to go into the details - describe how the decomposition works, and explain why the quantum formalism is the appropriate and correct way to compute probabilities in this world where influences are going back and forth in time "simultaneously".
That is not what I found in John Cramer. Instead, his only visible mathematical foundation is just, the usual quantum formalism. Then he has a few specific physical setups, where he tries to communicate the gist of the TI way of thinking. Also, as I recall, there is a path integral formalism in which advanced and retarded waves appear.
At this point, as a "philosophy of QM", TI appears structurally very similar to CI. The math is still just the same quantum formalism, perhaps amended to include advanced waves in the path integral. There is no clear mathematical description of the ontological part of the theory. Instead, there is just a way of thinking and a way of talking about the traditional quantum formalism. In CI, it's Bohr going on about complementarity and the uncertainty principle, in TI, it's Cramer going on about pseudotime sequences.
I have not yet seen your book, but so far, I don't find, in Possibilist TI, an improvement on this situation. Instead, there seems to be just an extra layer to the talking, in which "possibilities" are ascribed an important role. It's a little odd that something nonexistent should matter so much for the understanding of that which exists, but I can let that go, it's not my main concern. My main concern is just - what is the mathematical object, that corresponds to reality? I've already given two examples of theories where there is no mystery at all about what that is - fields on a manifold, and fields on a nonorientable manifold. I've also given a clear example of a theory that does not attempt to be ontologically complete, namely, QM with observables regarded as real, and wavefunctions regarded as not real.
What I would like to know is just, what sort of mathematical object describes the actual part of Possibilist TI ontology? Is it a definite history of particles and fields, which then gets ontologically analyzed in a certain way (and perhaps that is where the "possibilities" come in)? If I open your arxiv paper, I see kets, propagators, quantum fields, squared amplitudes, and a whole pile of stuff which just looks like standard quantum formalism. So it looks like you have produced just another way of talking about the quantum formalism, rather than a clear ontology whose objects can be specified with mathematical exactness. Please prove me wrong, and show me the part where you just say "These are the entities that exist, and these are the states they can have." :-)
I address this question of ontology in my book, and I strongly suggest you take a look at that. (I know the book is a bit pricey, but you can always get it from a library! ;)
But here's a reply in a nutshell.
First, the whole point of PTI is the idea that QM describes REAL possibilitites that do not live in spacetime -- i.e., that spacetime is not 'all there is'. So the QM objects DO exist, in my interpretation. That's the basic ontology. The mathematical object that describes these real possibilitites is Hilbert space. Again: 'what exists' is not the sa...
This article should really be called "Patching the argumentative flaw in the Sequences created by the Quantum Physics Sequence".
There's only one big thing wrong with that Sequence: the central factual claim is wrong. I don't mean the claim that the Many Worlds interpretation is correct; I mean the claim that the Many Worlds interpretation is obviously correct. I don't agree with the ontological claim either, but I especially don't agree with the epistemological claim. It's a strawman which reduces the quantum debate to Everett versus Bohr - well, it's not really Bohr, since Bohr didn't believe wavefunctions were physical entities. Everett versus Collapse, then.
I've complained about this from the beginning, simply because I've also studied the topic and profoundly disagree with Eliezer's assessment. What I would like to see discussed on this occasion is not the physics, but rather how to patch the arguments in the Sequences that depend on this wrong sub-argument. To my eyes, this is a highly visible flaw, but it's not a deep one. It's a detail, a bug. Surely it affects nothing of substance.
However, before I proceed, I'd better back up my criticism. So: consider the existence of single-world retrocausal interpretations of quantum mechanics, such as John Cramer's transactional interpretation, which is descended from Wheeler-Feynman absorber theory. There are no superpositions, only causal chains running forward in time and backward in time. The calculus of complex-valued probability amplitudes is supposed to arise from this.
The existence of the retrocausal tradition already shows that the debate has been represented incorrectly; it should at least be Everett versus Bohr versus Cramer. I would also argue that when you look at the details, many-worlds has no discernible edge over single-world retrocausality:
I am not especially an advocate of retrocausal interpretations. They are among the possibilities; they deserve consideration and they get it. Retrocausality may or may not be an element of the real explanation of why quantum mechanics works. Progress towards the discovery of the truth requires exploration on many fronts, that's happening, we'll get there eventually. I have focused on retrocausal interpretations here just because they offer the clearest evidence that the big picture offered by the Sequence is wrong.
It's hopeless to suggest rewriting the Sequence, I don't think that would be a good use of anyone's time. But what I would like to have, is a clear idea of the role that "the winner is ... Many Worlds!" plays in the overall flow of argument, in the great meta-sequence that is Less Wrong's foundational text; and I would also like to have a clear idea of how to patch the argument, so that it routes around this flaw.
In the wiki, it states that "Cleaning up the old confusion about QM is used to introduce basic issues in rationality (such as the technical version of Occam's Razor), epistemology, reductionism, naturalism, and philosophy of science." So there we have it - a synopsis of the function that this Sequence is supposed to perform. Perhaps we need a working group that will identify each of the individual arguments, and come up with a substitute for each one.