1999/10/29 by Gabor Zsolt Toth, Gábor Zsolt Tóth, Toth, Gabor Zsolt
Engineering · Mathematics · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Elasticity and Wave Propagation #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/9910049
plain tex, 25 pages
arxiv created 1999/10/29 · openalex publication_date 1999/10/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider five-dimensional real linear spaces with a (otherwise well-known) linear action of the Galilei and the Poincare group on them, describe the geometry of these two spaces, and show, that these geometries comprise the notions of space-time, mass, momentum, force and physical dimensions in a natural way. In this way we geometrize the quantity of mass and integrate it together with space-time into two geometries in a natural way, so that these geometries are perfectly suitable for underlying the Newtonian and special relativistic mechanics of pointlike bodies.