English

Maximum Force and Naked Singularities in Higher Dimensions

General Relativity and Quantum Cosmology 2021-02-03 v1 High Energy Physics - Theory

Abstract

We discuss the existence of maximum forces in 3+1 dimensional spacetimes and show that the existence of a mass-independent maximum force does not occur in general relativity in spaces of more than three dimensions. Instead, the maximum force increases with the masses, M, of merging objects as M to the power (N-3)/(N-2) and allows unbounded gravitational forces to occur. This suggests that naked singularities can arise in more than three dimensions because they are unprotected by a maximum force at the horizon surface. This creates a new perspective on the expectation of naked singularities in higher dimensions.

Cite

@article{arxiv.2005.06809,
  title  = {Maximum Force and Naked Singularities in Higher Dimensions},
  author = {John D. Barrow},
  journal= {arXiv preprint arXiv:2005.06809},
  year   = {2021}
}

Comments

6 pages, no figures. Essay prepared for the Gravity Research Foundation

R2 v1 2026-06-23T15:32:23.620Z