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.

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