Conflict quantum theory and gravity as a source of particle stability

Abstract

We build a regular core of the Kerr-Newman (KN) solution and considered it as an extended soliton or bag model of spinning particle creating external gravitational and electromagnetic field of an electron. The known conflict between Quantum Theory and Gravity is solved by formation of a domain wall boundary separating zones of their influence. Gravity controls external classical (KN) spacetime, while Quantum theory is responsible for the flat zone of supersymmetric core. We show that Bogomolnyi bound determines precise boundary between these zones, controlling the shape, dynamics and stability of the particle.