From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

Details From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

1998-10-22

arxiv.org/abs/gr-qc/9810076v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10pp, LaTeX, uses sprocl.sty. To appear in the Proceedings of the International Seminar on Mathematical Cosmology, Potsdam, Ma

Scientific paper

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 Schr\"odinger equation is formulated. Elements of quantization of General Relativity within the present framework are sketched.

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