RELATIVISTIC GRAVITY AND THE ORIGIN OF INERTIA AND INERTIAL MASS

K I Tsarouchas (1)

1 NTUA - National Technical University of Athens [Athens]

If equilibrium is a frame-independent condition, the gravitational force should be transformed in exactly the same way as the electric force does in different inertial frames. In order for this to happen, gravity should be described by a gravitomagnetic theory in which the equations have the same mathematical form as those of the electromagnetic theory, with the gravitational mass as a Lorentz invariant. The Faraday’s law of electromagnetism, will therefore become a fundamental law of the gravitomagnetism too, and allow us to prove the relativity of all kinds of translatory motion, by accepting the principles of covariance for all reference frames in relative translatory motion, and restating the equivalence principle for both the gravitomagnetism and electromagnetism. Following the principles, we prove that, 1) The external inertial forces, perceived by an accelerating body, are real gravitational and electric forces, due to induction effects from the entire Universe, and not fictitious forces. 2) The internal inertial force, perceived by an accelerating body, depends on the body’s structure, but in the free fall is canceled, because of the equivalence principle, and the body experiences only the external inertial force. Thus, all bodies fall with the same acceleration. 3) The inertial rest mass of a body depends on the gravitational and electric scalar potentials, from the entire Universe, and can take positive or negative value. Both this value and the force acting on the body, determine if the body is attracted or repelled by the force. 4) The dependence of the inertial mass of a body, on the surrounding bodies, seems to be very important for the explanation of dark matter, dark energy and for phenomena of nuclear physics. The greater the density of stars in a galaxy the greater the inertial mass of the stars. As the Universe expands, the inertial mass of the atoms in a supernova Ia decreases and they emit light that becomes more and more red shifted. The inertial mass of a proton, at a distance smaller than 10-18 m from another proton, becomes negative. 5) The gravitational and electric forces curve the spacetime perceived by a body and every freely moving body follows geodesic of the metric that it perceives. 6) We can derive the general spacetime metric that perceives a body outside of a static and spherically symmetric gravitational mass. The Schwarzschild metric is a special case of this. 7) Finally, we extend the general spacetime metric to electric fields so that the similarity between the two forces is complete. The new theory satisfies the three criteria for viability: self-consistency, completeness, and agreement with past experiments.

Mots clés: relativistic gravity; gravitomagnetism; origin of inertia; origin of inertial mass; explanation of dark matter; explanation of dark energy; negative inertial mass.

Domaines: Physique Générale [physics.gen-ph]; Astrophysique [astro-ph]; Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Relativité Générale et Cosmologie Quantique [gr-qc]; Mécanique [physics]; Physique des Hautes Energies - Théorie [hep-th]

K I Tsarouchas. RELATIVISTIC GRAVITY AND THE ORIGIN OF INERTIA AND INERTIAL MASS. 2020. ⟨hal-01474982v2⟩