Hyperbolic statics in space-time

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Pavlov, Dmitry ; Kokarev, Sergey (2014)
  • Subject: Physics - General Physics

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).
  • References (6)

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    [6] V. Balan, G. Yu. Bogoslovskiy, S.S. Kokarev, D. G. Pavlov, S. Siparov, N. Voicu, J. Mod. Phys., v3, N29, 2012, pp. 1314-1335 doi: 10.4236/jmp.2012.329170, arxiv: [gr-qc, astro-ph] 1111.4346

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