Pascal DUBOIS

Keywords : gravitational field; gravitation; gravitational interaction; gravitational energy; fundamental principle; dynamics; quantum mechanics; wave mechanics; gravitational wave; pilot wave; Schwarzschild radius; hypothesis; de Broglie

In the note entitled "Another approach to relativity" we defined the laws of gravitation based on energy considerations. The purpose of this note is first to present a model of the gravitational field that is consistent with these laws.

We attribute a physical reality to the gravitational field, considered as a distribution of energy throughout space. The gravitational interaction consists of an exchange of energy between gravitational sources and the global field created by these sources.

The gravitational field model includes a mechanism for refreshing the field, constantly adapting it to variations in the energy of its source. This mechanism involves gravitational waves constituting a system that can be considered equivalent to the mass of the source.

The second chapter aims to answer the following question: can we deduce the fundamental principle of dynamics from the properties attributed to the gravitational field?

This question is based on the idea that if a body is at rest in a Galilean frame of reference, it is in equilibrium with its own gravitational field.

An impulse applied to this body results in it moving and increasing its energy, which leads to a change in the gravitational field. And the variation in speed is linked to the variation in the gravitational field. Hence the link between the variation in velocity and the variation in energy, which leads to the fundamental principle of dynamics.

The third chapter seeks to relate the concept of wave-particle duality in quantum mechanics to the concept of the gravitational field.

It is shown that the characteristics of the gravitational wave that accompanies a moving particle allow it to play the role of a pilot wave (in reference to the concept introduced by Louis de Broglie's theory) and thus explain the wave behaviour of the particle. This pilot wave is the solution to an equation close to Schrödinger's equation.

Finally, the movement of a particle appears to be entirely controlled by the gravitational field associated with it. This opens the door to another approach to quantum mechanics.

Gravitational field, Fundamental principle of dynamics

and Quantum Mechanics