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

Roman Plyatsko·Oleksa Bilaniuk
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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 γ- 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

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Roman Plyatsko, Oleksa Bilaniuk. 2005-07-07. Gravitational ultrarelativistic interaction of classical particles in the context of unification of interactions. https://doi.org/10.1088/0264-9381%2F18%2F23%2F312

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