Demonstration of Newton’s law of gravitation

F Salmon (1)

1 PPrime [Poitiers] - Institut Pprime [UPR 3346]

Most of scientists describe gravitation with two theories depending on the desired accuracy: Newton's law of gravitation and general relativity. In previous work, we found two formulas that could give the Planck constant and the speed of light according to fundamental constants and vacuum properties. If they are not coincidences, they suggest that gravitation stems from a physical deformation process. We propose here the mathematical description of this theory. Based on four-dimensional continuum mechanics, this approach yields a similar law to Newton's law of gravitation. However, this theory implies that the mathematical expression of gravitational force might be different for high masses.

Mots clés: Gravitation; Newton's law; deformation; four-dimensional

Domaines: Mécanique des structures [physics.class-ph]; Physique Classique [physics.class-ph]; Physique de l'espace [physics.space-ph]

F Salmon. Demonstration of Newton’s law of gravitation. 2021. ⟨hal-02572062v2⟩