Diffeomorphism Invariance and Local Lorentz Invariance
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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.
19 pages, Revtex, Plenary Talk presented at VII International Conference on Clifford Algebras and their Applications, Universite Paul Sabatier UFR MIG, Toulouse (FRANCE), to appear in "Clifford Algebras, Applications to Mathematics, Physics and Engineering", Progress in Math. Phys., Birkhauser, Berlin 2006
19 pages, Revtex, Plenary Talk presented at VII International Conference on Clifford Algebras and their Applications, Universite Paul Sabatier UFR MIG, Toulouse (FRANCE), to appear in "Clifford Algebras, Applications to Mathematics, Physics and Engineering", Progress in Math. Phys., Birkhauser, Berlin 2006