# Gravitation from a quantum mechanical argument: phase space compression

## TL;DR

This paper proposes a quantum mechanical framework where gravitation influences quantum dynamics by altering operator algebra, linking geometric disturbances to electromagnetic sources and suggesting gravitation induces phase space compressibility.

## Contribution

It introduces a novel approach connecting gravitation and quantum mechanics through operator algebra modifications and phase space dynamics.

## Key findings

- Gravitation modifies quantum operator algebra.
- Electromagnetic sources are linked to geometric disturbances.
- Gravitation induces phase space compressibility in quantum systems.

## Abstract

We use a quantum mechanical charged particle as a test particle which probes the dynamics of force-related fields it is subject to. We allow for geodesic motion and relations involving gravitation appear. Gravitation affects quantum dynamics by modifying operator algebra. The emerging commutator between momentum's components is recognized as being proportional to electromagnetic field strength tensor. We define electromagnetic field sources through momentum's components commutator which is proportional to geometric (gravitational) quantities. As a result, a source of the electric field can be thought of as the geometric disturbance. The framework points to the non-existence of mass-less charges and gravitation being able to introduce compressability of the quantum mechanical system's phase space, which constitutes its main coupling to the quantum (condensed matter) system.