You have jumped to a conclusion. — apokrisis
Which conclusion?
Friston aims to generalise his Bayesian mechanics so it can capture this level of semiosis as well. — apokrisis
What do you mean, specifically?
Your comments simply brush that major project aside. — apokrisis
Don't know what you mean, I am literally just reporting Friston's account to you. I actually don't know what your specific objection is in this passage you have written.
You believe things that other folk don’t believe in. Positional certainty may be matched by momentum uncertainty. However the reverse also applies. — apokrisis
Well actually Bohmians believe in positional certainty also.
But most people are completely ignorant about the stochastic interpretation and the literature on it. Even in standard quantum mechanics, the Heisenberg uncertainty principle applies to the probability distribution of particles in a way that can only be realized when you measure a system many many times. There is no empirical fact about quantum mechanics that contradicts the stochastic or statistical or Bohmian interpretation of Heisenberg uncertainty. Any confusion comes from thinking the wavefunction has to be the actual physical particle as opposed to possibly a construct that holds information about statistics.
Again, uncertainty relations are inherent in stochastic systems. They were first discovered for Brownian motion by Furth in 1933:
https://scholar.google.co.uk/scholar?cluster=218273391326247766&hl=en&as_sdt=0,5&as_vis=1
I have already mentioned a Friston source that shows it too for classical stochastic systems and there are many other sources I could give you too if you wanted. Classical stochastic systems describe things like a dust particle floating in a glass of water, behaving randomly. Yes, under certain conditions, uncertainty relations like Heisenberg's would show up in the statistical behavior of a system like this. This is a classical system you can observe with your own eyes and in fact, the Heisenberg uncertainty relations exist in quantum mechanics for the same reason as they do in the classical case - you can mathematically derive them from the non-differentiable (i.e. randomly behaving) nature of quantum paths as in path integral formulation, which have exactly the same fractal properties as the random motion of classical Brownian paths: e.g.
https://scholar.google.co.uk/scholar?cluster=9621050886572313269&hl=en&as_sdt=0,5&as_vis=1
Similarly, non-commutativity in path integral formulation is derived for the same reasons and this is explicitly states on the path integral wikiedia page.
The fact of the matter is that Heiseinberg uncertainty is perfectly compatible with the idea of definite particle positions and it must be so because classical stochastic systems have definite particle positions and they also have uncertainty relations. Furthermore, given how uncertainty principle can be derived from quantum mechanics for the exact same reason it can in classical stochastic systems, there is no barrier from that kind of formal angle of interpreting quantum Heisenberg uncertainty from the perspective of definite particle positions.
Quantum mechanics can be derived in its entirety from unremarkable assumptions concerning statistical systems where particles are always in definite positions or configurations. It is just not very well known at all though I am pretty sure I have already shown you papers. Even the strangest quantum phenomena such as Bell violating perfect spin correlations fall out of stochastic mechanics models: e.g.
https://scholar.google.co.uk/scholar?cluster=15973777865898642687&hl=en&as_sdt=0,5&as_ylo=2024&as_vis=1
It is just a mathematical fact that stochastic systems where particles are in definite configurations can reproduce all of the predictions of quantum mechanics.
Stochastic mechanics also can be applied to field theories: e.g.
https://arxiv.org/abs/2307.03188
And the nice thing about this paper is that you can watch some of the simulations on youtube (links in paper, youtube channel below):
https://youtube.com/@quantumbeables?si=hOVFbzHhEZAvManc
Given that stochastic formulations are empirically consistent with quantum mechanics in a formally demonstrable way, I cannot agree with your idea that this kind of "classical" view of reality has been debunked.