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Remarks on unified field structures, spin structures and canonical quantization

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Abstract

Unified field structures are defined and reviewed. Under certain conditions these are shown to be dynamical systems. And quantizable dynamical systems are shown to be unified field structures with invariant Riemannian metric. Spin structure is reviewed and manifoldsM 8k+4 with spin structure are shown to be symplectic.

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Authors and Affiliations

  1. Department of Mathematics, University of Massachusetts, 01002, Amherst, Massachusetts

    Norman E. Hurt

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  1. Norman E. Hurt
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This research was supported in part by NSF GP-13375.

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Hurt, N.E. Remarks on unified field structures, spin structures and canonical quantization. Int J Theor Phys 3, 289–294 (1970). https://doi.org/10.1007/BF00669756

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