Noncommutative geometry of the quantum clock
High Energy Physics - Theory
2019-01-07 v2
Abstract
We introduce a model of noncommutative geometry that gives rise to the uncertainty relations recently derived from the discussion of a quantum clock. We investigate the dynamics of a free particle in this model from the point of view of doubly special relativity and discuss the geodesic motion in a Schwarzschild background.
Cite
@article{arxiv.1807.11031,
title = {Noncommutative geometry of the quantum clock},
author = {S. Mignemi and N. Uras},
journal= {arXiv preprint arXiv:1807.11031},
year = {2019}
}
Comments
7 pages, version accepted for publication on Phys. Lett. A. A discussion of the motion of a particle in a Schwarzschild background has been added