All of quantum field theory (with the exception of gravity, but people are working on that) can be derived from the following statement: "Assume maximal self-consistent unambiguous algebraic structure and neglect trivial results". The only such set of dimensions which can have non-trivial maximal structure are 3 positive 1 negative (left-hand rule physics) and 3 negative 1 positive (right-hand rule physics). From the maximal algebraic structure (Clifford algebras) we can then derive all of the underlying laws which govern electromagnetism, strong force, weak force, and the Higgs field. We can additionally derive the existence and relative charges/masses/etc. of all particles in the Standard Model by identifying ideal groups in the maths' group theory (except for why neutrinos have mass, but people are working on that too).
This, to me at least, is such a profound result that I would seriously question the validity of any physical theory which is inconsistent with such maths.
And this is where we get to the problem with collapse postulate. The quantum measurement postulate, as typically provided in the collapse framework, does not exist as a self-consistent mathematical operation in this setup. It's just ... not a thing. This is a Problem with the collapse postulate, at least for me.
Now you can mimic the observed effects of such a measurement by describing an entangling operation in which each entangled mode is joined to a separate set of sufficiently mixed thermal states (i.e. classical states) such that no subsequent interference between the entangled modes can be observed. Such an entangling operation is defined by C13 (1 positive 3 negative dimensions Clifford algebra). This 'splits' your system into two separate systems which can no longer interact, in which one system only contains states which overlap with one of the entangled modes, and the other system only contains states overlapping with the other mode. The physical interpretation of which is an MWI measurement. This also satisfies time reversal symmetry, as sufficient knowledge of and control over the thermal states could allow one to re-interfere these split systems and recreate the original state.
Soooo ... is that's why we at least need MWI? Because collapse postulate that measurements don't exist in the framework that, to me, is our most compelling understanding of how our physical reality works, but MWI measurements do. And that bugs me (I conveniently minimized gravity and neutrino mass; it pained me to gloss over those but I didn't have the space for a full tangent. Suffice to say that Cohl Furey's recent work into division algebras and the possibility that a non-associative, truly maximally complex, picture of mathematics does might provide us with a sterile neutrino and neutrino mass as she's claimed, has left me wondering whether she’s on to something or whether it’s the usual physics/math crap à la MWI. It bugs the heck out of me that this mathematical description of our universe so perfectly describes everything else but is just absent on these things. And it would shock me to my core, genuinely upset my understanding of how the universe works, if mathematicians plumbed the full depths of division algebras and could not find an explanation for high-energy quantized gravity and a neutrino mass and dark matter. In fact putting aside the sterile neutrino thing I think the most important discovery on Cohl Furey's work is actually something I didn't mention at all, which is that division algebras don't seem to have a concept of infinity and don't require an infinite extent to quantize fields, unlike our current understanding, which is of course important because the scope of the universe we can interact with is finite. Yeah it sucks that I had to gloss over all that above, but I'm aware of just how important it all is. I just think there's reason to believe that it doesn't toss out the underlying notion that all the physical reality can be derived from math and that we can reasonably criticize physical notions which don't have a self-consistent expression in these maximally structured algebras).





