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From Maximum Force Via the Hoop Conjecture to Inverse Square Gravity

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Abstract

The equivalence of maximum force \(c^{4}/4G\) and the field equations of general relativity provides a simple derivation of inverse square gravity. The derivation confirms the hoop conjecture and suggests a lack of gravitational physics beyond general relativity. Possible loopholes are pointed out.

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ACKNOWLEDGMENTS

The author thanks Michael Good, Naresh Dadhich and an anonymous referee for stimulating discussions and suggestions.

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Correspondence to Christoph Schiller.

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Schiller, C. From Maximum Force Via the Hoop Conjecture to Inverse Square Gravity. Gravit. Cosmol. 28, 305–307 (2022). https://doi.org/10.1134/S0202289322030082

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  • DOI: https://doi.org/10.1134/S0202289322030082

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