On Non-Linear Quantum Mechanics and the Measurement Problem II. The Random Part of the Wavefunction

TL;DR

This paper proposes a stochastic extension to non-linear quantum mechanics, introducing a random component to the wavefunction that can violate Bell's inequality, offering a potential explanation for quantum randomness.

Contribution

It introduces a novel stochastic modification to non-linear quantum mechanics, explaining quantum randomness and Bell inequality violations.

Findings

Wavefunction has a random component.

Stochastic theory can violate Bell's inequality.

Proposes experiments to test the theory.

Abstract

In the first paper of this series, I introduced a non-linear, Hamiltonian, generalization of Schroedinger's theory that blocks formation of macroscopic dispersion ("cats"). But that theory was entirely deterministic, and so the origin of random outcomes in experiments such as Stern-Gerlach or EPRB was left open. Here I propose that Schroedinger's wavefunction has a random component and demonstrate that such an improvised stochastic theory can violate Bell's inequality. Repeated measurements and the back-reaction on the microsystem are discussed in a toy example. Experiments that might falsify the theory are described.