Accession Number : AD0011390


Title :   TRANSFORMATIONS OF SYSTEMS OF RELATIVISTIC PARTICLE MECHANICS


Descriptive Note : Technical rept. no. 2


Corporate Author : STANFORD UNIV CA APPLIED MATHEMATICS AND STATISTICS LABS


Personal Author(s) : RUBIN, HERMAN ; SUPPES, PATRICK


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/011390.pdf


Report Date : 01 May 1953


Pagination or Media Count : 45


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.


Descriptors :   *MATHEMATICAL LOGIC , *TRANSFORMATIONS , *RELATIVITY THEORY , THEORY , MECHANICS , PARTICLES , MATHEMATICS , HYPOTHESES , LOW STRENGTH


Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity


Distribution Statement : APPROVED FOR PUBLIC RELEASE