Pith. sign in

REVIEW 1 cited by

Precanonical Quantum Gravity: quantization without the space-time decomposition

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv gr-qc/0012074 v2 pith:72DJPRIZ submitted 2000-12-20 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords quantumgravityprecanonicalquantizationspace-timecovariantformulationspace
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

A nonpertubative approach to quantum gravity using precanonical field quantization originating from the covariant De Donder-Weyl Hamiltonian formulation which treats space and time variables on equal footing is presented. A generally covariant ``multi-temporal'' generalized Schroedinger equation on the finite dimensional space of metric and space-time variables is obtained. An important ingredient of the formulation is the ``bootstrap condition'' which introduces a classical space-time geometry as an approximate concept emerging as the quantum average in a self-consistent with the underlying quantum dynamics manner. An independence of the theory from an arbitrarily fixed background is ensured in this way. The prospects and unsolved problems of precanonical quantization of gravity are outlined.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Effects of Quantum Spin-Connection Foam in the Solar System, Galaxies, and the Universe

    gr-qc 2026-08 reject novelty 4.0 of 10

    A quantum gravity model is claimed to produce MOND and the cosmological constant, but the key derivation has algebraic errors and the numerical estimates are loose.

Pith tools