Gravitational ultrarelativistic interaction of classical particles in the context of unification of interactions

TL;DR

This paper investigates the behavior of ultrarelativistic spinning particles in a Schwarzschild gravitational field, exploring spin-orbit effects, specific high-energy orbits, and the potential unification of gravitational and electromagnetic interactions at high velocities.

Contribution

It provides a detailed analysis of spin-orbit acceleration dependence on Lorentz factor and spin orientation, and examines the high-energy quantum states of particles near black holes.

Findings

Spin-orbit acceleration depends on Lorentz b3 -factor and spin orientation.

Ultrarelativistic circular orbit at radius 3m analyzed as a solution of Mathisson-Papapetrou equations.

Gravitational and electromagnetic interactions tend to unify at ultrarelativistic velocities.

Abstract

The response of the ultrarelativistic particle with spin in a Schwarzschild field to the gravitomagnetic components as measured by the comoving observer is investigated. The dependence of the particle's spin-orbit acceleration on the Lorentz \gamma - factor and the spin orientation is studied. The concrete circular ultrarelativistic orbit of radius r=3m is considered as a partial solution of the Mathisson-Papapetrou equations and as the corresponding high-energy quantum state of the Dirac particle. Numerical estimates for protons and electrons near black holes are given. A tendency of gravitational and electromagnetic interactions to approach in quantitative terms at ultrarelativistic velocities is discussed