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arXiv · 0801.4870

Axiomatizing relativistic dynamics without conservation postulates

H. Andreka·J. X. Madarasz·I. Nemeti·G. Szekely
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Abstract

A part of relativistic dynamics (or mechanics) is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connecting relativistic and rest masses of bodies is presented, leading up to a geometric explanation of Einstein's famous $E=mc^2$. The connection of our geometrical axioms and the usual axioms on the conservation of mass, momentum and four-momentum is also investigated.

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H. Andreka, J. X. Madarasz, I. Nemeti, G. Szekely. 2008-01-31. Axiomatizing relativistic dynamics without conservation postulates. https://doi.org/10.1007/s11225-008-9125-6

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