On the applicability of Kolmogorov's theory of probability to the description of quantum phenomena. Part II: Bell inequalities

arXiv:2609.31075 · quant-ph, math-ph, math.MP · Submitted 2026-09-25 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-25

Updated: 2026-09-25

Comments: 44 pages + 15 pages of references, 2 figures; supplementary material in anc folder; Keywords: Bell's theorem, CHSH inequality, geometric quantum theory, contextuality, quantum nonlocality

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 10× in this paper · explained in 3 episodes
• No-Go Theorem — 9× in this paper · explained in 2 episodes
• Quantum Physics — 9× in this paper · explained in 10 episodes
• Generalization — 7× in this paper · explained in 13 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Axioms — 2× in this paper · explained in 2 episodes
• Ab Initio — 1× in this paper · explained in 1 episode
• Analyzer — 1× in this paper · explained in 1 episode
• Commentary — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Quantum Probability Theory
• Geometric Structure of Bell Correlations in Bohmian Mechanics: A Configuration-Space Analysis of EPR Experiments
• Local Realism, Contextualism and Loopholes in Bell`s Experiments
• Distinguishing Bohmian contextuality from Kochen-Specker contextuality
• Extending Bell's Theorem: Nonlocality via Measurement Dependence
• Einstein-separability, time related hidden parameters for correlated spins, and the theorem of Bell
• Questioning the reasonableness of the quantum nonlocality debate
• Classical counterexample to Bell's theorem
• Aspects of locally covariant quantum field theory
• The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes

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