Author(s)

Lawrence Horwitz^1,2,3

¹School of Physics, Tel Aviv University, Ramat Aviv, Israel.
²Department of Physics, Bar Ilan University, Ramat Gan, Israel.
³Department of Physics, Ariel University, Ariel, Israel.

Treating the Bekenstein-Sanders field B_μ, for which B_μB^μ = -1 as a gauge field requires that the field be non-Abelian. This structure was worked out in a previous publication by Horwitz, Gershon and Schiffer, where an equivalent Kaluza-Klein metric was found for an extended (5D) spacetime. In this paper, we study a quaternionic formulation of this theory with quaternionic gauge fields and quaternionic wave functions (as discussed in two seminal books by S.L. Adler), thereby establishing a connection between quaternionic quantum mechanics and general relativity.

General Relativity, Non-Abelian Gauge Fields, Quaternionic Quantum Mechanics, TeVeS Theory

Horwitz, L. (2023) Quaternionic Bekenstein-Sanders Guage Fields for TeVeS. Journal of Modern Physics, 14, 1203-1210. doi: 10.4236/jmp.2023.148066.