Advances in Theoretical and Mathematical Physics

Volume 27 (2023)

Number 3

Time symmetric electrodynamics, electric charge conservation, and the Lorenz gauge

Pages: 785 – 796

DOI: https://dx.doi.org/10.4310/ATMP.2023.v27.n3.a4

Author

Călin Galeriu (Military Technical Academy “Ferdinand I”, Bucharest, Romania)

Abstract

We reveal a new way in which the Lorenz gauge condition is related to the electric charge conservation, in a universe where all electrically charged point particles are created and annihilated. We derive our results using time symmetric electrodynamics, relying on observations made by Jacov Frenkel (in 1925) and John Archibald Wheeler (in 1940). Both the Lorenz gauge condition and the electric charge conservation are expressed as closed path integrals in Minkowski space. The integration path is the same, it is the sum of all “Wheeler electrons”.

Published 6 June 2024