2018/12/04 by D. H. Delphenich, Delphenich, D. H.
Mathematics · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1812.01643
openalex publication_date 2018/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The usual pre-metric Maxwell equations of electromagnetism in Minkowski space are extended to five dimensions, and the equations of linear five-dimensional electromagnetic waves are obtained from them by using the simplest electromagnetic constitutive law. The role of the dispersion law for five-dimensional plane waves in dictating the most appropriate extension of the four-dimensional Minkowski space metric to the five-dimensional one is discussed. The fact that the five-dimensional dispersion law includes both massless waves and massive ones is emphasized, as well as the fact that one can obtain the Klein-Gordon equation or the Proca equation by separating the fifth coordinate.