From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity
General Relativity and Quantum Cosmology
2007-05-23 v1
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 Schr\"odinger equation is formulated. Elements of quantization of General Relativity within the present framework are sketched.
Keywords
Cite
@article{arxiv.gr-qc/9810076,
title = {From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:gr-qc/9810076},
year = {2007}
}
Comments
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