Gravitation from a quantum mechanical argument: phase space compression
Abstract
We use a quantum mechanical charged particle as a test particle which probes the dynamics of forcerelated 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 nonexistence of massless 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.
 Publication:

arXiv eprints
 Pub Date:
 April 2019
 arXiv:
 arXiv:1905.00281
 Bibcode:
 2019arXiv190500281A
 Keywords:

 Physics  General Physics