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

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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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Item Type:	Preprint
Creators:	Creators Email ORCID 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
Subjects:	Specific Sciences > Mathematics Specific Sciences > Physics > Relativity Theory
Date:	January 2008
URI:	https://philsci-archive.pitt.edu/id/eprint/3861

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