## Dynamics in Relativity is the Way to Quantum Theory

**Authors:** Vladimir B. Belayev

Equations of the critical curve are obtained by the nonzero energy integral variation in accordance with principles of the calculus of variations in mechanics. This method is compared with the Fermat’s principle and geodesics principle. The force vector acting on the photon in Schwarzschild space-time is found for the weak gravity and corresponds to photon’s gravitational mass equal to the twice mass of a material particle of the same energy. Compliance with the law of conservation of energy as a source of gravity leads to the presence of particles with negative gravitational mass and zero kinematic momentum in the results of the annihilation reaction. Accretion of matter onto compact stars results in their absorption of positive energy from the vacuum and the release negative energy in a free deep space. The particles with negative gravitational mass create there antigravitating vacuum with negative pressure. Extended Space Model (ESM) is a generalization of the special theory of relativity at a 5-dimensional space. Rotations in extended space correspond to the motion of a particle in gravity field in the embedded four-dimensional space-time. Within the framework of ESM the photons have a nonzero mass in a gravitational field. We study how a rotation in ESM agrees with photon dynamics in the Schwarzschild field. A non-conservation of energy in gravitational systems is interpreted by the ESM as the rotation of the energy-momentum vector in 5-dimensional space. The comparison bubble cosmic structures of a type gravastar with electron an estimate of its radius is made.

**Comments:** 14 Pages.

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### Submission history

[v1] 2019-10-23 02:46:24

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