The origin of inertia and the nature of inertial rest mass. An important issue for dark matter and dark energy.
Résumé
If equilibrium is to be a frame-independent condition, it is necessary for all non-electromagnetic
forces to have precisely the same transformation law as that of the Lorentz-force. Therefore, gravity
must be described by a gravitomagnetic theory just like the electromagnetic theory, with the gravitational
mass as a Lorentz invariant. If acceleration is to be relative, we must accept the Principle of
General Covariance and the Equivalence Principle. Using the above we prove that:
1. The external inertial forces, felt by an accelerating body, are inductive e ects of the entire Universe
and are real and not ctitious forces.
2. The internal inertial forces depend on the internal structure of the body, but in a free fall they 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 eld.
3. 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.
4. The gravitational eld a ects the spacetime metric and a freely moving particle moves along a
geodesic.
5. The Schwarzschild metric is a consequence of the new theory and therefore the new theory agrees
with all past experiments and observations.
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