On the role of mass in the mathematical structure of Newtonian and special relativistic mechanics

Details On the role of mass in the mathematical structure of Newtonian and special relativistic mechanics On the role of mass in the mathematical structure of Newtonian and special relativistic mechanics

1999-10-29

arxiv.org/abs/math-ph/9910049v1

Physics

Mathematical Physics

plain tex, 25 pages

Scientific paper

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.

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