Bell-type Models and Statistical Description of Quantum Systems

TL;DR

This paper explores a Bell-type model for a single spin, analyzing hidden variable dynamics, and demonstrates how the system's equilibrium aligns with quantum theory, addressing foundational issues like Bell inequalities and locality.

Contribution

It introduces a dynamic chaos-based model for quantum systems that supports the statistical completeness of quantum mechanics and discusses foundational conceptual problems.

Findings

System evolution reaches an equilibrium consistent with quantum predictions

Hidden variable dynamics can be described by natural assumptions

Addresses conceptual issues like Bell inequalities and locality

Abstract

We consider dynamics of hidden variables for measurements in a generalized bell-type model for a single spin using natural assumptions. The evolution of the system, which can be expressed as dynamic chaos is studied. The equilibrium state that the system evolves to asymptotically is consistent with the predictions of quantum theory. The thesis of incompleteness of quantum mechanics in dynamic interpretation and completeness in statistical interpretation are developed. Conceptual problems of quantum mechanics such as violations of Bell inequalities, negative probabilities, complementarity principle, Einstein's locality and others are discussed.