Foundations of probability and physics
About: Foundations of probability and physics is an academic journal. The journal publishes majorly in the area(s): Quantum probability & Quantum process. Over the lifetime, 172 publication(s) have been published receiving 1606 citation(s).
Topics: Quantum probability, Quantum process, Bell's theorem, Consistent histories, Open quantum system
TL;DR: In this paper, the authors show that an epistemic perspective can be consistently complemented by Einstein's ontically oriented position, which is consistent with Weizsacker's view of quantum theory as a theory of knowledge.
Abstract: Quantum theory has provoked intense discussions about its interpretation since its pioneer days. One of the few scientists who have been continuously engaged in this development from both physical and philosophical perspectives is Carl Friedrich von Weizsacker . The questions he posed were and are inspiring for many, including the authors of this contribution. Weizsacker developed Bohr’s view of quantum theory as a theory of knowledge. We show that such an epistemic perspective can be consistently complemented by Einstein’s ontically oriented position.
TL;DR: In this paper, the authors show that the standard proofs of the Bell theorem are based on the Kolmogorov axioms of probability theory, and they show that these proofs contain mathematical steps that cannot be reconciled with the Vorob'ev theorem of joint distributions.
Abstract: Most of the standard proofs of the Bell theorem are based on the Kolmogorov axioms of probability theory. We show that these proofs contain mathematical steps that cannot be reconciled with the Kolmogorov axioms. Specifically we demonstrate that these proofs ignore the conclusion of a theorem of Vorob’ev on the consistency of joint distributions. As a consequence Bell’s theorem stated in its full generality remains unproven, in particular, for extended parameter spaces that are still objective local and that include instrument parameters that are correlated by both time and instrument settings. Although the Bell theorem correctly rules out certain small classes of hidden variables, for these extended parameter spaces the standard proofs come to a halt. The Greenberger‐Horne‐Zeilinger (GHZ) approach is based on similar fallacious arguments. For this case we are able to present an objective local computer experiment that simulates the experimental test of GHZ performed by Pan, Bouwmeester, Daniell, Weinfurter and Zeilinger and that directly contradicts their claim that Einstein‐local elements of reality can neither explain the results of quantum mechanical theory nor their experimental results.
TL;DR: In this paper, a review of the problem of mutually unbiased bases in finite dimensional Hilbert spaces, real and complex, is presented, and a geometric measure of "mubness" is introduced to some explicit calculations in six dimensions.
Abstract: This is a review of the problem of Mutually Unbiased Bases in finite dimensional Hilbert spaces, real and complex. Also a geometric measure of “mubness” is introduced, and applied to some explicit calculations in six dimensions (partly done by Bjorck and by Grassl). Although this does not yet solve any problem, some appealing structures emerge.
TL;DR: The EPR•chameleon experiment has closed a long standing debate between the supporters of quantum nonlocality and the thesis of quantum probability according to which the essence of the quantum pecularity is non Kolmogorovianity rather than non locality.
Abstract: The EPR‐chameleon experiment has closed a long standing debate between the supporters of quantum nonlocality and the thesis of quantum probability according to which the essence of the quantum pecularity is non Kolmogorovianity rather than non localityThe theory of adaptive systems (symbolized by the chameleon effect) provides a natural intuition for the emergence of non‐Kolmogorovian statistics from classical deterministic dynamical systems These developments are quickly reviewed and in conclusion some comments are introduced on recent attempts to “reconstruct history” on the lines described by Orwell in “1984”
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