Proposal of a Theory Modifying General Relativity

General Relativity (GR) postulated that the speed of gravity was equal to that of light and that gravity was of the same nature as electromagnetic waves. However, this speed to be separated from that of gravitational waves, has never been directly measured. This poses theoretical problems, especially regarding the existence of gravitons and how a black hole exerts its attraction. Superluminal celerities are assumed for quantum entanglement and cosmic inflation. We present 2 paradoxes from the gravities of Newton or Einstein, allowing to say that gravity is of a different nature than electromagnetic waves and that the description by curvatures is insufficient. The speed of gravity was estimated in the early 19th century by Laplace, late 19th century, and late 20th century by Van Flandern. We have taken the Laplace method which gives values close to that of Van Flandern from the GR. One of Hawking equations might also be used to calculate this speed. The first two methods make it possible to calculate a gravitational velocity related to orbital velocities. We can see that the planets are in precise orbits, probably related to gravitational waves, responding to a precise equation. We can determine a mass beyond which attraction will no longer be exercised. Several verifications are considered: 1) The fact that exoplanets or satellites are on preferred orbits according to our equation can already be verified. 2) The measurement of the speed of quantum entanglement (or decoherence) would make it possible to link in another way quantum and gravitation. 3) If this speed varies with mass, then its measurement could be feasible in a laboratory for small masses. Finding a speed or celerity of gravity greater than that of light requires a clear distinction between gravitational signal (>c) and gravitational wave (=c) to maintain the validity of special relativity (SR) and part of GR. In order to solve the presented paradoxes, we propose a theory where the curvatures in the space-time frame are replaced by retractions that can be transmitted at very high celerity; the “predictions” of the GR are retained, the space-time frame becomes representable and is no longer a mathematical abstraction.