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Quaternionic Bekenstein-Sanders Guage Fields for TeVeS
School of Physics, Tel Aviv University, Ramat Aviv, Israel
Department of Physics, Bar Ilan University, Ramat Gan, Israel
Department of Physics, Ariel University, Ariel, Israel
- 1 School of Physics, Tel Aviv University, Ramat Aviv, Israel
- 2 Department of Physics, Bar Ilan University, Ramat Gan, Israel
- 3 Department of Physics, Ariel University, Ariel, Israel
Journal of Modern Physics·Volume 14 (2023)·Pages 1203–1210·Published 29 June 2023·DOI10.4236/jmp.2023.148066
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Abstract
Treating the Bekenstein-Sanders field B μ , for which B μ B 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.
KeywordsGeneral RelativityNon-Abelian Gauge FieldsQuaternionic Quantum MechanicsTeVeS Theory
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