On Non-Linear Quantum Mechanics, Space-Time Wavefunctions, and Compatibility with General Relativity
Quantum Physics
2020-08-21 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.2008.08663,
title = {On Non-Linear Quantum Mechanics, Space-Time Wavefunctions, and Compatibility with General Relativity},
author = {W. David Wick},
journal= {arXiv preprint arXiv:2008.08663},
year = {2020}
}