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Quaternionic Bekenstein-Sanders Guage Fields for TeVeS
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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.
Title: Quaternionic Bekenstein-Sanders Guage Fields for TeVeS
Description:
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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