On Non-Linear Quantum Mechanics and the Measurement Problem III. Poincare Probability and ... Chaos?

TL;DR

This paper explores a nonlinear quantum mechanics model that exhibits sensitive dependence on initial conditions, potentially explaining measurement randomness without ad hoc parameters, and linking chaos theory with quantum measurement issues.

Contribution

It provides analytic and simulation evidence that nonlinear quantum mechanics can produce measurement randomness through inherent chaos, removing the need for free parameters.

Findings

Nonlinear quantum mechanics shows sensitive dependence on initial conditions.

The model suggests randomness may be structurally determined.

Simulation results support chaos-based explanation of measurement outcomes.

Abstract

Paper I of this series introduced a nonlinear version of quantum mechanics that blocks cats, and paper II postulated a random part of the wavefunction to explain outcomes in experiments such as Stern-Gerlach or EPRB. However, an ad hoc extra parameter was assumed for the randomness. Here I provide some analytic and simulation evidence that the nonlinear theory exhibits sensitive dependence on initial conditions in measurement scenarios, perhaps implying that the magnitude of randomness required is determined by structural features of the model, and does not require a free parameter.