The origin of inertia and the nature of inertial rest mass.

Konstantinos I. Tsarouchas (1)

1 NTUA - National Technical University of Athens [Athens]

In order to explain the origin of inertia and the nature of the inertial rest mass, we consider first that gravity is discribed by a gravitomagnetic theory just like the electromagnetic theory with the gravitational mass as a Lorentz invariant, and secondly we accept the fundamental idea of the relativity of all kinds of motion. By doing this, we prove that, 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. When a body moves freely in a gravitational field, its internal structure plays no role and the body feels only the external inertial forces. That is why all bodies fall at the same rate in a gravitational field. 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 particle depends on the distribution of the other charges in its neighborhood and this effect turns out to be important in the subatomic world. The gravitational field affects the geometry of space-time which is a Finsler-Randers space-time and all the freely moving bodies in a gravitational field follow geodesics of this space-time.

Mots clés: Mach' principle; dark matter; dark energy; gravitomagnetism; origin of inertia

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.. 2023. ⟨hal-01474982v10⟩