Studia Logica

, Volume 89, Issue 2, pp 163–186 | Cite as

Axiomatizing Relativistic Dynamics without Conservation Postulates

  • H. Andréka
  • J. X. Madarász
  • I. Németi
  • G. Székely
Article

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 = mc2. The connection of our geometrical axioms and the usual axioms on the conservation of mass, momentum and four-momentum is also investigated.

Keywords

axiomatization relativistic dynamics first-order logic equivalence of mass and energy foundation of relativity 

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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • H. Andréka
    • 1
  • J. X. Madarász
    • 1
  • I. Németi
    • 1
  • G. Székely
    • 1
  1. 1.Alfréd Rényi Institute of Mathematics of the Hungarian Academy of SciencesBudapestHungary

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