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Precanonical Perspective in Quantum Gravity

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abstract

Quantization of general relativity in metric variables using ``precanonical'' quantization based on the De Donder-Weyl covariant Hamiltonian formulation is outlined. Elements of classical geometry needed to formulate the (Dirac-like) wave equation emerge from a self-consistency with the underlying quantum dynamics of the metric. In this sense the formulation can be viewed as independent from an arbitrarily fixed background.

fields

gr-qc 1

years

2026 1

verdicts

REJECT 1

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