Synchronization and Fundamental Time: a Connection between Relativity and Quantum Mechanics

TL;DR

This paper explores the link between relativity and quantum mechanics by generalizing de Broglie's synchronization approach to curved spacetime, offering new insights into their connection through gravitoelectromagnetism.

Contribution

It extends de Broglie's synchronization-quantization link from flat to curved spacetime using gravitoelectromagnetic analogy, providing a novel interpretation of their relationship.

Findings

Generalizes de Broglie's approach to curved spacetime

Uses gravitoelectromagnetic analogy for weak gravitational fields

Provides new interpretation of relativity-quantum mechanics connection

Abstract

An interesting connection between special relativity and quantum mechanics was put forward by Louis de Broglie, about 60 years ago, who focused on the link between synchronization in a rotating frame and the quantization of the angular momentum. Here we generalise his approach to curved spacetime, using the gravitoelectromagnetic analogy, which can be applied to describe the weak gravitational field around rotating sources, and give a new interpretation of the results.