2019/07/08 by I. É. Bulyzhenkov, Bulyzhenkov, Igor
Engineering · Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Geotechnical and Geomechanical Engineering #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1907.03580
openalex publication_date 2019/07/08 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We introduce the gauge-invariant vector dynamics of continuous inertial\ndensities through the metric formalism for extended mechanical charges. Ricci\nscalar density is related to invariant sum of inertial and gravitational mass\ndensities of nonlocal matter-extension. Such a Cartesian continuum of\ngravitating inertial densities is self-governed by internal tensor tensions\ntoward a static equilibrium state with a Euclidean material 3-space under the\nequivalence of inertial and gravitational densities of extended masses.\nExternal forces and local frictions transform the self-dynamics of an\nelementary closed continuum into a forced motion of still adaptive energy\nflows, where high-order space-time derivatives can provide non-Newtonian\nself-accelerations. If such tensor inertial feedback with the inverse constant\nof Cavendish 1/G is justified by measurements for the modified Navier-Stokes\nequation, the Newton empty space model should be replaced by the Cartesian\nmatter-extension for the non-local macroscopic world.\n