Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

From Maximal Force to the Field Equations of General Relativity

Version 1 : Received: 16 September 2021 / Approved: 17 September 2021 / Online: 17 September 2021 (15:07:34 CEST)

How to cite: Sivaram, C.; Kenath, A.; Schiller, C. From Maximal Force to the Field Equations of General Relativity. Preprints 2021, 2021090318 (doi: 10.20944/preprints202109.0318.v1). Sivaram, C.; Kenath, A.; Schiller, C. From Maximal Force to the Field Equations of General Relativity. Preprints 2021, 2021090318 (doi: 10.20944/preprints202109.0318.v1).

Abstract

We point out that field equations of general relativity are implied by a maximal force given by c4/4G, analogous to the way that special relativity is implied by a maximal speed given by c. We present some of the arguments for this equivalence. The maxi-mal force naturally plays the role of an elastic constant for space-time. Implications of the maximal force for gravitational wave measurements, cosmology and black holes are highlighted. Quantum aspects of the maximal force are discussed.

Keywords

General relativity, Maximal force, Maximal power, Cosmological constant, Planck curvature

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