Quantum Mechanics and the Metrics of General Relativity

TL;DR

This paper explores a novel correspondence between linearized general relativity metrics and quantum wave equations, highlighting the role of boundary conditions and gauges in bridging classical and quantum physics.

Contribution

It establishes a direct link between space-time metrics and quantum wave equations, introducing a new approach to incorporate test charges and masses via gauges.

Findings

A one-to-one correspondence between metrics and wave equations.

Boundary conditions naturally differentiate quantum from classical mechanics.

Methodology allows inclusion of test charges and masses through gauges.

Abstract

A one-to-one correspondence is established between linearized space-time metrics of general relativity and the wave equations of quantum mechanics. Also, the key role of boundary conditions in distinguishing quantum mechanics from classical mechanics will emerge naturally from the procedure. Finally, we will find that the methodology will enable us to introduce not only test charges but also test masses by means of gauges.