Nonlinear deterministic-chaotic collapse model -- preliminaries, philosophy, locality

TL;DR

This paper discusses a nonlinear dynamical model of quantum collapse that incorporates chaos theory, offering explanations for quantum correlations, addressing heating effects, and exploring locality through a novel parametrization.

Contribution

It introduces a new nonlinear collapse model with self-generated noise, providing fresh insights into quantum correlations, locality, and the absence of heating effects.

Findings

Chaos explains deterministic unpredictability in nonlinear dynamics

Bell-CHSH and GHZ experiments support quantum mechanics within this model

Heating effects predicted by CSL theories are not expected in this approach

Abstract

This is an extended discussion of Ref.[1], presenting a nonlinear dynamical model of quantum collapse, with randomness emerging from self-generated noise. Here we focus on a few issues: 1) the way chaos theory explains "deterministic but unpredictable" as a generic feature of nonlinear dynamics; 2) a new argument about why Bell-CHSH and GHZ experiments confirm quantum mechanics; 3) a discussion of why the heating effect predicted by CSL-type theories is not expected to happen according to our approach; 4) in looking for direct-product solutions of our nonlinear Von Neumann equation, we use a parametrization different from that used in Ref.[1], allowing better insight to the locality issue.