Gravitational “Constant” G as a Function of Quantum Vacuum Energy Density and its Dependence on the Distance from Mass

Abstract

In a previous paper the author has shown the gravitational constant ruling Newton’s law can be expressed as a function of quantum variables related to Zero Point Field as Planck’s time and quantum vacuum energy density. On the other hand the quantum vacuum energy density has been proved to be modified by the presence of a mass within the volume occupied by the mass itself and in the space surrounding it. Furthermore, according to the Einstein’s Theory of General Relativity the same mass determines a gravitational potential that alters the speed of light, the clock’s rate and the particle size as a function of the distance the distance from the center of mass. All these considerations strongly suggest that also the constant G could be expressed as a function of quantum vacuum energy density somehow depending on the distance from the mass whose presence modifies the Zero Point Field energy structure. In this paper, starting from the idea of inertial mass of a body as the seat of standing waves of Zero Point Field and from the picture of a fluid-like model of space, it has been established a model in which the gravitational constant G is expressed as a function of Quantum Vacuum energy density in turn depending on the radial distance from center of the mass originating the gravitational field, supposed as spherically symmetric. The proposed model suggests the gravitational “constant” G could be not truly unchanging but varying as a function of the distance from the mass originating gravitational potential itself, whose approximate analytic expression has been also found and discussed. Finally a possible experimental test of the model, making use of precise measurements on a satellite has been outlined. The proposed theoretical model could be able to give valuable insights into a deeper understanding of the true origin and dynamics of gravity as well as the theoretical basis for unthinkable applications related, for example, to the field of gravity control and space propulsion.