From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

I. V. Kanatchikov

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arXiv · gr-qc/9810076

From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

I. V. Kanatchikov

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Abstract

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.

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I. V. Kanatchikov. 1998-10-22. From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity. https://arxiv.org/abs/gr-qc/9810076

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