From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

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An approach to quantization of fields and gravity based on the De Donder-Weyl covariant Hamiltonian formalism is outlined. It leads to a hypercomplex extension of quantum mechanics in which the algebra of complex numbers is replaced by the space-time Clifford algebra and all space-time variables enter on equal footing. A covariant hypercomplex analogue of the Schrödinger equation is formulated. Elements of quantization of General Relativity within the present framework are sketched.
10pp, LaTeX, uses sprocl.sty. To appear in the Proceedings of the International Seminar on Mathematical Cosmology, Potsdam, Mar-Apr 98, ed. H.-J. Schmidt and M. Rainer, World Scientific, Singapore 1998

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/36349

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9810076
 http://arxiv.org/abs/gr-qc/9810076

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arXiv