A possible way of unification of the gravity (Newton) and electric (Coulomb) forces by using a hydrodynamic analogy

Abstract

Although the gravity is the most important force acting on the Universe scale, on small scales the electrical interaction prevails. Indeed, the Coulomb force between two charged particles is very high as compared to the gravity force between the masses carrying electric charges. Therefore, a solution would be to connect the two forces by extending the hydrodynamic analogy successfully introduced in the author’s previous works. These papers provide a model for gravity, an important conclusion being the dependence of the gravity coefficient in Newton formula on the age of the Universe. Unlike mass-energy, the total electric charge in the Universe is null. Therefore, we must consider limited regions of the Universe (example: atoms, nuclei) to express Coulomb's strong forces. In the following we take into consideration that any electric charge (electrons, protons, quarks etc.) is carried by a mass. Unlike the gravity force which is modeled by hydrodynamic sources on a global scale, Coulomb’s force is modeled by an equivalent vortex mass on a local scale.