PhilSci Archive

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]

[img]
Preview
PDF
Download (227Kb) | Preview

    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.


    Export/Citation:EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
    Social Networking:

    Item Type: Preprint
    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 11:16
    Item ID: 3861
    URI: http://philsci-archive.pitt.edu/id/eprint/3861

    Actions (login required)

    View Item

    Document Downloads