On the Covariant Hamilton-Jacobi Equation for the Teleparallel Equivalent of General Relativity

Pietrzyk, Monika; Barbachoux, Cécile

doi:10.48550/arxiv.2201.01295

Cited by 1 publication

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References 53 publications

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“…Let us also note that the existence of the space-time symmetric Hamilton-Jacobi (HJ) theory of fields which is associated with the DW Hamiltonian theory [8][9][10][40][41][42] raises a question about the existence of a formulation of quantum field theories which reproduces the DW HJ theory in the classical limit. The precanonical quantization leads to such a formulation, at least in the case of scalar fields (cf.…”

Section: Introductionmentioning

confidence: 99%

The quantum waves of Minkowski space-time and the minimal acceleration from precanonical quantum gravity

Kanatchikov

2023

J. Phys.: Conf. Ser.

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We construct the simplest solutions of the previously obtained precanonical Schrödinger equation for quantum gravity, which correspond to the plane waves on the spin connection bundle and reproduce the Minkowski space-time on average. Quantum fluctuations lead to the emergence of the minimal acceleration a0 related to the range of the Yukawa modes in the fibers of the spin connection bundle. This minimal acceleration is proportional to the square root of the cosmological constant Λ generated by the operator re-ordering in the precanonical Schrödinger equation. Thus the mysterious connection between the minimal acceleration in the dynamics of galaxies as described by Milgrom’s MOND and the cosmological constant emerges as an elementary effect of precanonical quantum gravity. We also argue that the observable values of a0 and Λ can be obtained when the scale of the parameter ϰ introduced by precanonical quantization is subnuclear, in agreement with the previously established connection between the scale of ϰ and the mass gap in quantum SU(2) Yang-Mills theory.

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Section: Introductionmentioning

confidence: 99%

The quantum waves of Minkowski space-time and the minimal acceleration from precanonical quantum gravity

Kanatchikov

2023

J. Phys.: Conf. Ser.

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On the Covariant Hamilton-Jacobi Equation for the Teleparallel Equivalent of General Relativity

Abstract: The covariant Hamilton-Jacobi equation for the Teleparallel Equivalent of General Relativity is derived based on the analysis of constraints within the De Donder-Weyl covariant Hamiltonian theory developed by Kanatchikov.

Cited by 1 publication

References 53 publications

The quantum waves of Minkowski space-time and the minimal acceleration from precanonical quantum gravity

The quantum waves of Minkowski space-time and the minimal acceleration from precanonical quantum gravity

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