TITLE:
Quaternionic Bekenstein-Sanders Guage Fields for TeVeS
AUTHORS:
Lawrence Horwitz
KEYWORDS:
General Relativity, Non-Abelian Gauge Fields, Quaternionic Quantum Mechanics, TeVeS Theory
JOURNAL NAME:
Journal of Modern Physics,
Vol.14 No.8,
July
25,
2023
ABSTRACT: Treating the Bekenstein-Sanders field Bμ, for which BμBμ= -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.