Inertial Motion in the Events Plane of Minkowski Space with Non-zero Rest Mass (Axiomatic Description)

Isaac Vagner

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arXiv · 1403.1350

Inertial Motion in the Events Plane of Minkowski Space with Non-zero Rest Mass (Axiomatic Description)

Isaac Vagner

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Abstract

Inertial motion is considered in the plane of events characterized by the homogeneous Lorentz group L. On the basis of this group, a set of inertial movements and its decomposition into sets which are disconnected from one another with respect to the L-subgroups are considered. The geometric and corresponding physical characteristics of these motions are discussed: relativistic velocity, mass, relativistic momentum and mass/velocity ratio. It is shown that only one world line of inertial motion corresponds to each point on the plane in a space-like area, and the mass growth, dependent on the velocity, takes place only in the particle system. The mathematical model describing the aforementioned physical characteristics is developed in a geometric context, based on group theory.

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Isaac Vagner. 2014-03-06. Inertial Motion in the Events Plane of Minkowski Space with Non-zero Rest Mass (Axiomatic Description). https://arxiv.org/abs/1403.1350

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