Diffeomorphism invariance and local Lorentz invariance. (English) Zbl 1181.81069
Summary: We show that diffeomorphism invariance of the Maxwell and the Dirac-Hestenes equations implies the equivalence among different universe models such that if one has a linear connection with non-null torsion and/or curvature the others have also. On the other hand local Lorentz invariance implies the surprising equivalence among different universe models that have in general different \(G\)-connections with different curvature and torsion tensors.
MSC:
81R20 | Covariant wave equations in quantum theory, relativistic quantum mechanics |
15A66 | Clifford algebras, spinors |
81R25 | Spinor and twistor methods applied to problems in quantum theory |
83C80 | Analogues of general relativity in lower dimensions |
83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |