Maximum Force and Naked Singularities in Higher Dimensions

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.

arXiv comment6 pages, no figures. Essay prepared for the Gravity Research Foundation

References in corpus (5)

• Black Holes in Higher Dimensions
• The Maximum Tension Principle in General Relativity
• Maximum Tension: with and without a cosmological constant
• A maximum magnetic moment to angular momentum conjecture
• Exact solutions of higher dimensional black holes

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• Maximum force conjecture in Kiselev, $4$D-EGB and Barrow corrected-entropy black holes
• Universal constants and natural systems of units in a spacetime of arbitrary dimension
• From maximum force to physics in 9 lines and towards relativistic quantum gravity
• The d-Dimensional Cosmological Constant and the Holographic Horizons