Pith. sign in

REVIEW 1 cited by

From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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/9810076 v1 pith:X43SZJIR submitted 1998-10-22 gr-qc

I.V. Kanatchikov This is my paper · ORCID
classification gr-qc
keywords quantizationalgebracovariantformalismgravityhamiltonianhypercomplexspace-time
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original 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.

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