Thanks for this, @gentzen. I found it on the CI of QM page for SEP. What I now find remarkable is that contextuality is a very natural classical concept that we can easily introduce into classical physics. In particular, Koopman's Hilbert space formalism for Classical Mechanics1 allows us very...
VERY good to see you here, @RUTA! Though it is a notable new approach, I think the information-theoretic approaches introduce axioms that I don't find obvious enough for them to be axioms.
It's not yet ready for prime-time, but please consider thinking of "A Dataset & Signal Analysis...
Fun! Thanks! Whatever historical developments I partly associate myself with, there will be people who say I should start somewhere else?!? Bohr is problematic, but so is everyone else (including myself, inevitably), and I kinda like that we can use mathematics, in the form of the Naimark...
Thank you for pointing out those two articles, neither of which I had seen before.
Ashtekar's article inches towards something like the ideas I develop in the article I mentioned above, "An algebraic approach to Koopman classical mechanics", but I think it is not ultimately much different from...
Although that's definitely true when we consider details, I think signal analysis offers a starting point for a more accessible understanding. In particular, signal analysis includes Fourier transforms of signals over time, for which Wigner functions (called time-frequency analysis) are so...
One answer to the complex structure question comes from an article by Leon Cohen in Foundations of Physics 1988, "Rules of Probability in Quantum Mechanics" (paywalled), which is available on the author's Academia page. The argument in brief is that we use both probability measures and their...
Renormalization is definitely on a better footing than it was before Wilson and EFTs, however I think it's fair to say that mathematicians still think it's problematic. 75 years of attempts tell us, however, that it's difficult to pinpoint the nature of the problem.
That we multiply...
I like to think that my attempt at such is helpful, albeit still developing. I presented a talk to the Oxford Philosophy of Physics Seminar in October 2024 with the title "A Dataset & Signal Analysis Interpretation of Quantum Field Theory", . You will have to be willing to adopt an almost...
Ref 16 on that Wikipedia page, an article by Don Howard from 2004, presents a difference between Heisenberg's and Bohr's views that I have found specially helpful. To summarize, Heisenberg espouses collapse of the quantum state at the time of a measurement, whereas Bohr always rejected...
We perhaps parted company because you knew very well that I talk a big game about "signal analysis" but I have no detailed knowledge, a selectivity that I have deliberately chosen because otherwise I would likely fill my head with only signal analysis. The ideas you suggest above seem terrific...
My thinking here is that in the context of the Quantum Interpretations and Foundations Forum and a question "What if there were no observers?", it is appropriate to ask whether the idea of an "observer" is a good basis for thinking about physics. It seems that there has been a century-long...
FWIW, my take is that if there were no experimenters there would be no experiments. An experimenter is important because they have to decide what experiment they would like to build, find the money for the parts they need and permission to use lab space, build and debug the apparatus, then they...
There's a lot of philosophy of physics about this kind of question, but in an engineering perspective I think of different interpretations typically having different ideas about what experiments it would be interesting to do next.
Hypothesis: if an interpretation proves itself to be better at...
There are convergences as well as divergences. In particular, Koopman's Hilbert space formalism for classical mechanics allows a unification of classical mechanics with quantum mechanics. It has taken since the 1931 appearance of Koopman's original paper suggesting that formalism because the...