Spinless Matter in Transposed-Equi-Affine Theory of Gravity

Abstract

We derive and discus the equations of motion for spinless matter: relativistic spinless scalar fields, particles and fluids in the recently proposed by A. Saa model of gravity with covariantly constant volume with respect to the transposed connection in Einstein-Cartan spaces. A new interpretation of this theory as a theory with variable Plank "constant" is suggested. We show that the consistency of the semiclassical limit of the wave equation and classical motion dictates a new definite universal interaction of torsion with massive fields.

29 pages, latex, no figures. New Section on semiclassical limit of wave equation added; old references rearranged; new references, remarks, comments, and acknowledgments added; typos corrected

References in corpus (2)

• Spaces with torsion from embedding and the special role of autoparallel trajectories
• Novel Geometric Gauge Invariance of Autoparallels

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• Frames of reference in spaces with affine connections and metrics
• Spontaneous Generation of Torsion Coupling of Electroweak Massive Gauge Bosons