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:
- Relativity isn't an issue for the transactional interpretation: causality forwards and causality backwards are both local, it's the existence of loops in time which create the appearance of nonlocality.
- Retrocausal interpretations don't have an exact derivation of the Born rule, but neither does many-worlds.
- Many-worlds finds hope of such a derivation in a property of the quantum formalism: the resemblance of density matrix entries to probabilities. But single-world retrocausality finds such hope too: the Born probabilities can be obtained from the product of ψ with ψ*, its complex conjugate, and ψ* is the time reverse of ψ.
- Loops in time just fundamentally bug some people, but splitting worlds have the same effect on others.
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.
Neither the many-worlds interpretation, nor any retrocausal interpretation, has a canonical, ontologically satisfactory, self-contained definition as a theory. In both cases, you will find people who say that the interpretation is just a way of thinking about quantum mechanics, so the calculational procedure is exactly the same as Copenhagen.
If you dig a little deeper, you can find quantum formalisms which are self-contained algorithmically, and which possess some resemblance to the spirit of the interpretations, such as consistent histories (for many worlds) and two-state-vector formalism (for single-world retrocausality). I can't say that one of these is clearly simpler than the other.
By the way, Eliezer's original argument for simplicity of MWI has the following flaw. The comparison is between Everett and Collapse, and we are told Collapse has two axiomatic forms of dynamics - unitary evolution and collapse - where Everett just has one - unitary evolution. But then we learn that we don't know how to derive the Born rule from unitary evolution alone. So to actually use the "theory", you have to bring back collapse anyway, as a separate part of your calculational algorithm!
Retrocausality is a minority preference compared to many worlds, there's no doubt about that. It could be like 1% versus 20%. If you also counted people who are just interested by it, you should add a few more percent.
It is meant to be relativistically local and that takes care of the majority of those questions. Whether it is non-differentiable or non-deterministic would depend on the details of a proper retrocausal theory. For example, Wheeler-Feynman theory is just classical electrodynamics with waves that converge on a point as well as waves that spread from a point, whereas the two-state-vector formalism is stochastic.