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Axiomatizing relativistic dynamics without conservation postulates

Andréka, Hajnal and Madarász X., Judit and Németi, István and Székely, Gergely (2008) Axiomatizing relativistic dynamics without conservation postulates. [Preprint]


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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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Item Type: Preprint
Andréka, Hajnal
Madarász X., Judit
Németi, István
Székely, Gergely
Additional Information: to appear in Studia Logica
Keywords: relativity, dynamics, first-order logic, axiomatization, conservation postulates, geometrical proofs
Subjects: Specific Sciences > Mathematics
Specific Sciences > Physics > Relativity Theory
Depositing User: Gergely Székely
Date Deposited: 01 Feb 2008
Last Modified: 07 Oct 2010 15:16
Item ID: 3861

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