Restrictions on gauge theory of gravitation

Physics

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Scientific paper

I discuss geometric aspects - causality, conformal structure, and spinor structure - of a ``gauge'' type theory of gravitation, proposed by Stephenson, later independently presented by Yang, then criticized by many people, cautioned by Fairchild, and recently advocated for microphysical systems by Hehl, Kerlick, and Heyde. I find that in macrophysical and microphysical systems the affine connexion cannot be nonmetric but is very likely to be metric.
On leave of absence from University of Tokyo, Japan.

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