On Non-Linear Quantum Mechanics, Space-Time Wavefunctions, and Compatibility with General Relativity

TL;DR

This paper demonstrates that non-linear quantum mechanics can be integrated with general relativity using space-time wavefunctions and additional algebraic structures, potentially affecting black hole singularity formation.

Contribution

It introduces a framework for compatible non-linear quantum mechanics and general relativity using space-time wavefunctions and bitensors, expanding the theoretical landscape.

Findings

NLQM can be compatible with Einstein's gravity

Space-time wavefunctions are essential for curved space-times

Possible implications for black hole singularities

Abstract

In previous papers I expounded non-linear Schrodingerist quantum mechanics as a solution of the Measurement Problem. Here I show that NLQM is compatible with Einstein's theory of General Relativity. The extension to curved space-times presumes adoption of "space-time wavefunctions" (sometimes called "multi-time wavefunctions") and some additional algebraic structure: a "bitensor" supplementing Einstein's metric tensor. This kind of matter may violate the Strong Energy Condition even without a mass term, possibly with implications for the formation of singularities within Black Holes.