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Principle of Local Conservation of Energy-Momentum

2008/05/26 by Garret Sobczyk, Tolga Yarman, Sobczyk, Garret +1
Mathematics · Physics and Astronomy · #81V22 #83A05 #83C57 #83D05 #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.0805.3859

openalex publication_date 2008/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting with Einstein's theory of special relativity and the principle that whenever a celestial body or an elementary particle, subjected only to the fundamental forces of nature, undergoes a change in its kinetic energy then the mass-energy equivalent of that kinetic energy must be subtracted from the rest-mass of the body or particle, we derive explicit equations of motion for two falling bodies. In the resulting mathematical theory we find that there are no singularities and consequently no blackholes.

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