Induced Gravity Model Based on External Impinging Neutrinos: Calculation of G in Terms of Collision Phenomena and Inferences to Inertial Mass and Atomic Quantization

Herein, we present a particle-based mechanism and mathematical formulation of gravity, focusing on the neutrino as the gravity-inducing particle. The mechanism is based on the primacy of momentum conservation and postulates an omni-directional distribution throughout the universe of fast small particles of finite mass that have a low probability of colliding with nucleons. The measured acceleration between two neighboring mass bodies results from an alteration of this distribution caused by nucleons of each body interacting with some of those particles. Based on findings establishing that the neutrino has mass, we evaluate the various neutrinos as external particle candidates. We show that for mass quantities up to several times that of the sun the form of the time rate of momentum transfer to each body is proportional to the product of the two body masses because of the probability nature of any collision process, and inversely proportional to the square of the distance between them because of the mathematical properties of an altered particle flux. A derived expression involving the neutrino momentum flux, the neutrino-nucleon collision cross section, and the nucleon mass replaces the constant G from the classical gravitational model. The neutrino momentum flux that is required to account for gravity is so large as to cause us herein to re-evaluate conventional notions in kinematics and the cause of inertial properties and to examine neutrino-nucleon collisions as a possible source of electromagnetic standing waves essential to establish electron shell states. This reasoning indicates that in a much more massive body that is accreting mass, a coulombic collapse to a black hole will ensue when external neutrinos lose the ability to penetrate in sufficient numbers to the central region.