TRANSFORMATIONS OF SYSTEMS OF RELATIVISTIC PARTICLE MECHANICS

Abstract

An attempt is made to present a complete set of axioms for relativistic particle mechanics in the sense of the special theory of relativity. Under a certain weak hypothesis, the set of transformations is determined which always carry systems of relativistic particle mechanics into systems of relativistic particle mechanics. Although this set of transformations is not a group (under the usual operation), it is shown to be essentially a Brandt groupoid. The results seem to represent an improvement of those of MacColl (Trans. Amer. Math. Soc. 46:328-347, 1939) in that (1) the work is within an explicit axiomatic framework; (2) transformations are considered of the units of mass and force as well as position and time; and (3) tranformations are considered from one value of the velocity of light to another.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1953
Accession Number
AD0011390

Entities

People

  • Herman Rubin
  • Patrick Suppes

Organizations

  • Stanford University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Coordinate Systems
  • Equations
  • Intervals
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Military Research
  • Molecular Mechanics Methods
  • Notation
  • Numbers
  • Real Numbers
  • Real Variables
  • Relativity Theory
  • Special Relativity
  • Theorems
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.