Hyperbolic statics in space-time
General Physics
2023-07-19 v1
Abstract
Based on the concept of material event as an elementary material source that is concentrated on metric sphere of zero radius --- light-cone of Minkowski space-time, we deduce the analog of Coulomb's law for hyperbolic space-time field universally acting between the events of space-time. Collective field that enables interaction of world lines of a pair of particles at rest contains a standard 3-dimensional Coulomb's part and logarithmic addendum. We've found that the Coulomb's part depends on a fine balance between causal and geometric space-time characteristics (the two regularizations concordance).
Cite
@article{arxiv.1504.03663,
title = {Hyperbolic statics in space-time},
author = {Dmitry Pavlov and Sergey Kokarev},
journal= {arXiv preprint arXiv:1504.03663},
year = {2023}
}