Mechanistic Model of Gravitation

• Published in: Lobachevskii journal of mathematics Vol. 44; no. 6; pp. 2240 - 2250
• Main Authors: Belov, P. A., Lurie, S. A.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-06-2023; Springer Nature B.V
• Subjects: Algebra; Analysis; Defects; Elasticity; Equilibrium equations; Geometry; Gravitation theory; Gravitational effects; Gravitational fields; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Momentum; Probability Theory and Stochastic Processes; Relativity; Stress distribution; Tensors; defect-free space-time continuum; general relativity; 4D elasticity theory; compatibility equation
• ISSN: 1995-0802; 1818-9962
• DOI: 10.1134/S1995080223060094

The theory of elasticity of the defect-free space of events in 4D is proposed as a variant of the mechanistic theory of gravity. A 4D displacement vector is determined, the fourth component of which is the local non-uniform time of the physical process that generates the gravitational field. A consistent mechanistic theory of physical processes in a defect-free space of events generating a gravitational field is constructed. We believe that any displacement field determines some physical process, which is generated by the corresponding fields of external influences. Each such displacement field can be associated with a tensor stress field, which can be interpreted as a gravitational effect on a test body, as well as a conserved energy-momentum tensor. The proposed theory is radically different from Einstein’s gravitational theory, since a non-zero energy-momentum tensor exists for any physical process determined by equilibrium equations written in displacements, and the Ricci or Einstein (Saint-Venant) tensor for solutions in displacements is always equal to zero. We propose to consider General Relativity (GR) as a variant of the 4D partial theory of elasticity of the defective space of events.