Universality of the self gravitational potential energy of any fundamental particle

Abstract

Using the relation proposed by Weinberg in 1972, combining quantum and cosmological parameters, we prove that the self gravitational potential energy of any fundamental particle is a quantum, with physical properties independent of the mass of the particle. It is a universal quantum of gravitational energy, and its physical properties depend only on the cosmological scale factor R and the physical constants \hbar and c. We propose a modification of the Weinberg's relation, keeping the same numerical value, but substituting the cosmological parameter H/c by 1/R.