Axiomatizing relativistic dynamics without conservation postulates

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Andréka, Hajnal; Madarász X., Judit; Németi, István; Székely, Gergely
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preprint description
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.