Elimination of High-Energy Divergence in Relativistic Lagrangean Formulation of Gravitating Particle Dynamics

Abstract

The nonrenormalizable singularity of the gravitational 1/r potential at ralativistic and quantum levels is a longstanding problem of modern physics. The problem is discussed in Relativistic Lagrangean framework with the variable proper mass. It is shown that the so-called self-energy divergence for the 1/r graviational potntial can be eliminated within the variable proper mass concept. The problem has many aspects outlined, which should be further investigated before the final conclusion could be made.