Recent content by Son Goku

Many strong force particles get contributions to their mass from classical Yang-Mills solutions weighted by their Chern class. Eta prime is an example.

For anybody interested Landsmann has a nice account of the theorem here: https://arxiv.org/abs/2202.12279 See the start of section 4 for a very clear explanation. Bohmian Mechanics in equilibriym basically factors the randomness via the position variable.

Perfect, so all the above theorem adds is that in the Durr et al case Bohmian Mechanics is fundamentally random since equilibrium would need to be sourced by a truly random oracle.

There's a lovely undergrad level derivation of this in Jochen Rau's new textbook "Quantum Theory: An Information Processing Approach". He shows only quantum and classical prob are compatible with basic statistical principles like "operationalism", i.e. the ability of another party to confirm the...

Considering old style renormalizability is concerned with which theories are well-defined in the continuum, i.e. at all scales, I always found this one of the coolest things in modern physics. The conditions for a term to remain unsupressed and survive the flow from the original cut-off action...

Thanks, I was looking for a Bohmian response. I assume then the standard Bohmian view is that most systems rapidly thermalize and approach equilibrium closely so that non-Born fluctuations are small. As opposed to them being actually in equilibrium, since you'd be back to fundamental randomness...

Hardly, he's my favourite 5th Century Thracian.

I think modern particles are so far from anything he imagined, e.g. in typical states their properties and even their number are undefined, that one can't really say he was right.

Yes you can. Quantum Theory can be formulated as mixed states giving statistics for POVMs and evolving under CPTP maps. Yes all of these can also be "purified" to pure states, PVMs and Unitaries respectively, but equally pure states can be seen as a special case of mixed states and the same...

I was recently trying to understand how Bohmian Mechanics could model quantum theory. In an old lecture of Sidney Coleman's called "Quantum Theory with the Gloves off" available here: https://www.damtp.cam.ac.uk/user/ho/Coleman.pdf He shows with a "physicist's proof" that QM predicts truly...

Sorry thinking about this again, how is this done? The underlying equations are deterministic so how do you ensure you get 1-random frequencies like QM. Genuinely I understand this isn't about classical physics. I'm solely talking about how quantum probability cannot be replicated by classical...

Okay I see now. My understanding was that a purely deterministic formalism cannot model the quantum probabilities due to the presence of Kolmogorov–Levin–Cháitín randomness. I understood the goals of the paper itself, but Killtech seemed to be saying it gave a classical model of quantum...

Thanks for your response. Honestly I'm not confusing classical physics and classical probability. This construction seems parasitic on quantum probabilities for the pure case. How are the pure case probabilities replicated?

I had a look at this and it still doesn't look like an actual classical measure for QM. It seems to classicalize part of the probability structure, at the cost of severally altering the geometry of the state space to the point where I'd doubt its ability to replicate dynamics. How does it...

Run a loophole free CHSH test and see a violation of the Tsirelson bound. All quantum theories obey that bound. Very hard to imagine Tsirelson exceeding frameworks being true given the rest of physics, but that's one example.