# Properties of the 5-Dimensional Extended Space Model with Variable Photons Mass and Size

We suggest the generalisation of the special relativity theory (STR) of Einstein. The (1 + 4)-dimensional space G, which is the extension of the (1 + 3)-dimensional Minkowski space M(T;X, Y , Z), is used in our model. The intervals are used as a fifth extra co-ordinate. Action is the physical sense of the Fifth Coordinate. Under the normal Lorentz transformations in M, this value is constant but changes when the transformations in the extended space G(T, X , Y, Z, S) are used. We call this model the Extended Model for Space (ESM). Our extension from a physical point of view implies that procedures in which the residual mass of the particles shifts are now appropriate. In the 4D Minkowski space, Lorentz transformations M(T; X , Y , Z) in the planes (T, X), (T, Y), (T, Z) allow the energy and momentum of a particle to be modified in the conjugate space of the extended 4D energy momentum space M*(E; Px, Py, Pz). In addition to Lorentz rotations, new forms of hyperbolic rotations (T, S) and (T, X) have a simple physical sense in the 5D energy-momentum-mass space G*(E, Px, Py, Pz, M) in the new 5D space G(T, X , Y, Z, S) compared to the Minkowski space M(1, 3). This space is ad-connected to G(T, X , Y, Z, S) space. Rotation (T, S) changes the energy and mass of the particle in a consistent manner, and rotation (X, S) changes the momentum and mass of the particles in a consistent manner , especially in space G*(E, Px, Py, Pz, M). Gravity and electromagnetism are merged into one field in the ESM, and a 5×5 Energy-MomentumMass tensor can be constructed. A photon can have a variable mass that is not zero in the ESM, and this mass can be either positive or negative. It is also possible to create a relationship between the mass of a particle and its size in the ESM frame.

Author(s) Details

V. A. Andreev
Lebedev Physical Institute of RAS, Moscow, Russia.

D. Yu. Tsipenyuk
Prokhorov General Physics Institute of RAS, Moscow, Russia and Moscow Polytechnic University, Moscow, Russia. 