Relativistic Model for Gravity-Induced Quantum State Reduction

TL;DR

This paper introduces a Lorentz invariant model for gravity-induced quantum state reduction, addressing the challenge of formulating a relativistic stochastic wave-function dynamics consistent with quantum non-locality.

Contribution

It proposes a novel approach where stochastic time flow is orthogonal to deterministic evolution, maintaining Lorentz invariance and compatibility with quantum non-locality.

Findings

Model preserves Lorentz invariance in quantum state reduction

Framework accommodates Bell's non-locality within relativity

Explores higher order effects for experimental testing

Abstract

A Lorentz invariant model for gravity-induced quantum state reduction is presented, which is mainly developed from Penrose's argument that the time translation operator in a superposition of macroscopic states is ill-defined. The problem to define a Lorentz invariant stochastic dynamics for the wave-function is solved by assuming that the stochastic time flow is running orthogonal to the deterministic, unitary time evolution inside the four-dimensional space-time, which makes the direction of causality independent from the chosen reference frame. This new view allows to accept Bell's position on the implication of quantum non-locality on relativity, without having to give up the Lorentz invariance of the specified dynamics. It is shown that it is possible to formulate on the basis of this new view a meaningful physical model. The model is also checked for possible higher order effects, which provide new starting points for experimental research.