What is really "quantum" in quantum theory?
arXiv:quant-ph/0301051
Abstract
By analysing probabilistic foundations of quantum theory we understood that the so called quantum calculus of probabilities (including Born's rule) is not the main distinguishing feature of "quantum". This calculus is just a special variant of a contextual probabilistic calculus. In particular, we analysed the EPR-Bohm-Bell approach by using contextual probabilistic models (e.g., the frequency von Mises model). It is demonstrated that the EPR-Bohm-Bell consideration are not so much about "quantum", but they are merely about contextual. Our conjecture is that the "fundamental quantum element" is the Schrödinger evolution describing the very special dependence of probabilities on contexts. The main quantum mystery is neither the probability calculus in a Hilbert space nor the nonncommutative (Heisenberg) representation of physical observables, but the Schrödinger evolution of contextual probabilities.
References in corpus (10)
- Quantum Mechanics as Quantum Information (and only a little more)
- Time, Finite Statistics, and Bell's Fifth Position
- Local Realism, Contextualism and Loopholes in Bell`s Experiments
- Locality and Bell's inequality
- Range Theorems for Quantum Probability and Entanglement
- Noncommutative probability in classical systems
- Local realist (but contextual) derivation of the EPR-Bohm correlations
- Comment on Hess-Philipp anti-Bell and Gill-Weihs-Zeilinger-Zukowski anti-Hess-Philipp arguments
- Einstein and Bell, von Mises and Kolmogorov: reality and locality, frequency and probability
- Dialogue on Classical and Quantum between mathematician and experimenter