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Universal lower bound on orbital periods around central compact objects

General Relativity and Quantum Cosmology 2023-09-29 v1 High Energy Astrophysical Phenomena High Energy Physics - Theory

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 TT_{\infty} 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 MM of the central compact object) in the dimensionless MEc1ME_{\text{c}}\gg1 regime, in which case it can be expressed in terms of the electric charge ee and the proper mass mem_{e} of the lightest charged particle in nature: T>2πeGc2me2T_{\infty}>{{2\pi e\hbar}\over{\sqrt{G}c^2 m^2_{e}}} (here Ec=me2/eE_{\text{c}}=m^2_{e}/e\hbar is the critical electric field for pair production). The explicit dependence of the bound on the fundamental constants of nature {G,c,}\{G,c,\hbar\} suggests that it may reflect a fundamental physical property of the elusive quantum theory of gravity.

Keywords

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

R2 v1 2026-06-28T10:29:03.742Z