The spontaneous disentanglement hypothesis and causality

TL;DR

This paper explores the spontaneous disentanglement hypothesis in quantum systems, proposing a maximum entropy-based formulation to resolve causality violations and ensure consistency across finite-dimensional Hilbert spaces.

Contribution

It introduces a new formulation based on the maximum entropy principle and Lagrange multipliers to address causality issues in spontaneous quantum disentanglement.

Findings

The formulation is applicable to any finite-dimensional quantum system.

It mitigates causality violations caused by spontaneous disentanglement.

Provides a consistent theoretical framework for the hypothesis.

Abstract

The hypothesis that disentanglement spontaneously occurs in quantum systems is motivated by some outstanding issues in the foundations of quantum mechanics. However, for some cases, spontaneous disentanglement enables the violation of the causality principle. To mitigate the conflict with causality, a formulation for the hypothesis, which is based on the maximum entropy principle, is proposed. The method of Lagrange multipliers is implemented to ensure consistency with causality. The proposed formulation is applicable for any quantum system having a Hilbert space of finite dimensionality.