Quantum entanglement and interference from classical statistics

TL;DR

This paper demonstrates that quantum phenomena such as entanglement and interference can be derived from classical statistical systems, offering a new interpretation of quantum mechanics as a subsystem of a larger classical ensemble.

Contribution

It provides a framework where quantum mechanics emerges from classical statistics, including explanations for entanglement, interference, and particle statistics.

Findings

Quantum mechanics for a four-state system derived from classical statistics

Entanglement and interference explained within classical ensembles

Quantum systems are subsystems of larger classical systems including environment

Abstract

Quantum mechanics for a four-state-system is derived from classical statistics. Entanglement, interference, the difference between identical fermions or bosons and the unitary time evolution find an interpretation within a classical statistical ensemble. Quantum systems are subsystems of larger classical statistical systems, which include the environment or the vacuum. They are characterized by incomplete statistics in the sense that the classical correlation function cannot be used for sequences of measurements in the subsystem.