Pith. sign in

REVIEW 1 cited by

Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries

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 2301.09448 v1 pith:3NQTDL2T submitted 2023-01-23 gr-qc

Saulo Albuquerque , Valdir B. Bezerra , Iarley P. Lobo , Gabriel Macedo , Pedro H. Morais , Ernesto Rodrigues , Luis C. N. Santos , Gislaine Varão This is my paper · ORCID
classification gr-qc
keywords spacesconfigurationgeometriesapproachfinslerhamiltonphasequantum
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper, we review two approaches that can describe, in a geometrical way, the kinematics of particles that are affected by Planck-scale departures, named Finsler and Hamilton geometries. By relying on maps that connect the spaces of velocities and momenta, we discuss the properties of configuration and phase spaces induced by these two distinct geometries. In particular, we exemplify this approach by considering the so-called $q$-de Sitter-inspired modified dispersion relation as a laboratory for this study. We finalize with some points that we consider as positive and negative ones of each approach for the description of quantum configuration and phases spaces.

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. Fermi Acceleration Mechanisms Beyond Lorentz Symmetry

    gr-qc 2026-01 conditional novelty 6.0 of 10

    Fermi-accelerated cosmic-ray spectra acquire energy-dependent spectral indices under κ-Poincaré-deformed or Lorentz-violating kinematics, with a -2 to -3 index transition in the classical basis.

Pith tools