Universal lower bound on orbital periods around central compact objects
Abstract
It is proved, using the curved line element of a spherically symmetric charged object in general relativity and the Schwinger discharge mechanism of quantum field theory, that the orbital periods of test particles around central compact objects as measured by flat-space asymptotic observers are fundamentally bounded from below. The lower bound on orbital periods becomes universal (independent of the mass of the central compact object) in the dimensionless regime, in which case it can be expressed in terms of the electric charge and the proper mass of the lightest charged particle in nature: (here is the critical electric field for pair production). The explicit dependence of the bound on the fundamental constants of nature suggests that it may reflect a fundamental physical property of the elusive quantum theory of gravity.
Cite
@article{arxiv.2305.04947,
title = {Universal lower bound on orbital periods around central compact objects},
author = {Shahar Hod},
journal= {arXiv preprint arXiv:2305.04947},
year = {2023}
}
Comments
12 pages