Gravitational Waves, Fields, and Particles in the Frame of (1 + 4)D Extended Space Model

Abstract

Interval s is used as a fifth additional coordinate. We employ (1 + 4)-dimensional space G, an extension of the (1 + 3)-dimensional Minkowski space M. Interval changes under the transformations in the extended space G. From a physical point of view our expansion means that processes in which the rest mass of the particle’s changes are acceptable now. In the Extended space model (ESM), a photon can have a nonzero variable mass. The equations for the plane-wave potentials describing the process of its localization are presented and their solution is found.