Abstract
Newton’s theory of gravitation has been outdated by relativity theory explaining specific phenomena like perihelion precession of Mercury, light deflection and very recently the detection of gravitational waves. But the disappearance of the obvious gravitational force and the variation of time are arguable concepts difficult to directly prove. Present methodology is based on hypotheses as expressed in a previous article: a universal time and an inertial mass variable according to the Lorentz factor (which could not be envisioned at Newton’s age). Because this methodology is mainly stood on Newtonian mechanics, it will be called neo-Newtonian mechanics. This theory is in coherence with the time of the Quantum Mechanics. In Newtonian mechanics, all forces, including gravitational force, are deducted from the linear momentum. Introducing the variable inertial mass, the result of the demonstration is an updated expression of the net force at high velocity: F = γ3mga. If such a factor in γ3 can look a bit strange at first sight for a force, let us remind that the lost energy in a synchrotron is already measured in γ4. Next article will be on the perihelion precession of Mercury within neo-Newtonian mechanics.
Highlights
The basis has been laid down in a previous article [2]: Lorentz factor can be demonstrated without using a variable time! It is only necessary to consider a variable inertial mass, different of the gravitational mass, and the energy of the particle linked to the inertial mass
If Newton distinguished the concepts of gravitational mass from the inertial mass [3], he could not be envisioned a variation of the inertial mass only detected at very high velocity
We remind results of a previous article: Lorentz factor can be demonstrated without using a variable time, but using a variable inertial mass
Summary
Relativity Hypotheses For a century, hypothesis of a variable time is laid down by the special theory of relativity. This hypothesis can explain many Nature observations, experiments and formulas, for example, the demonstration of the Lorentz factor. Because of such good explanations, the hypothesis of a variable time has been validated. In developing his ideas about the consequences of the equivalence principle between gravitational mass and inertial mass, Einstein leads to a new vision of gravitation which is to replace that of Newton: the general theory of relativity. The absence of gravitational force and a variable time according to the reference frame remain concepts difficult to directly prove
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