Spontaneous Wave Function Collapse with Frame Dragging and Induced Gravity

TL;DR

This paper introduces a modified stochastic Schr"odinger equation incorporating frame dragging effects, ensuring inertial motion and consistent collapse outcomes, and suggests a link between wave function collapse and space-time curvature.

Contribution

It proposes a novel approach combining spontaneous wave function collapse with inertial frame criteria, linking collapse dynamics to induced gravity and space-time modifications.

Findings

Eliminates Brownian motion of the center of mass during collapse

Ensures exact inertial motion for free masses

Maintains Born rule validity for Schr"odinger cat states

Abstract

I impose the Newtonian criteria of inertial frames on the c.o.m. trajectories of massive objects undergoing spontaneous collapse of their wave function. The corresponding modification of the so far used stochastic Schr\"odinger equation eliminates the Brownian motion of the c.o.m., restores the exact inertial motion for free masses. For the collapse of Schr\"odinger cat states the Born rule is satisfied invariably. The proposed machinery comes from the radical assumption that, in the vicinity of the spontaneously localized mass, the stochastic fluctuations of the c.o.m. ---inevitable in the collapse process--- would drag the physical inertial frame with themselves. The perspective of a general theory is presented where the spontaneous-collapse-caused breakdown of local energy-momentum conservation could be remedied by altering the metric, resulting in collapse-induced curvature of the space-time.