The origin of inertia and the nature of inertial rest mass. An important issue for dark matter and dark energy.

Konstantinos I. Tsarouchas (1)

1 NTUA - National Technical University of Athens [Athens]

We will show in this paper that gravity, in flat spacetime, must be described by a gravitomagnetic theory with the gravitational mass as Lorentz invariant and not equivalent to the inertial mass. We can then discover the origin of inertia and the nature of the inertial rest mass if we extend the principle of relativity to all kinds of motion by accepting the principle of General Covariance and the principle of Equivalence. Thus, we can prove that: 1. The external inertial forces, felt by an accelerating body, are inductive effects of the entire Universe while the internal inertial forces depend on the internal structure of the body. In a free fall the internal inertial forces are canceled due to the principle of Equivalence and the body feels only the external inertial forces. That's why all bodies fall at the same rate in a gravitational field. 2. The inertial rest mass of a body depends on the distribution of the matter in the Universe and this seems very important for dark matter and dark energy.The inertial mass of a charged particles in the subatomic world can take any value. 3. The gravitational forces affect the spacetime metric and the Schwarzschild metric is a consequence of the new theory.

Mots clés: Mach' principle; dark matter; dark energy; nature of inertial rest mass; gravitomagnetism; origin of inertia; relative acceleration

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]

Konstantinos I. Tsarouchas. The origin of inertia and the nature of inertial rest mass. An important issue for dark matter and dark energy.. 2022. ⟨hal-01474982v8⟩