Quaternionic Bekenstein-Sanders Guage Fields for TeVeS
preprint
OA: closed
CC-BY-4.0
Abstract
Treating the Bekenstein-Sanders field \(B_\mu\), for which \(B_\mu B^\mu = -1\) 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.
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00
- unpaywall
- last seen: 2026-06-05T02:00:03.366016+00:00
License: CC-BY-4.0