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From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

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

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gr-qc 1

years

2026 1

verdicts

REJECT 1

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