Axiomatizing relativistic dynamics without conservation postulates
Studia Logica 89 (2):163 - 186 (2008)
| Abstract | A part of relativistic dynamics 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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