Revisiting Legendre transformations in Finsler geometry-Reference-Cited by-同舟云学术

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Revisiting Legendre transformations in Finsler geometry

Published:2024-03-05 Issue:08 Volume:21 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Rodrigues Ernesto¹^ORCID,Lobo Iarley P.²³^ORCID

Affiliation:

1. Physics Department, Federal University of Paraíba, Caixa Postal 5008, 58059-900, João Pessoa, Paraíba, Brazil

2. Department of Chemistry and Physics, Federal University of Paraíba, Rodovia BR 079 - Km 12, 58397-000 Areia-PB, Brazil

3. Physics Department, Federal University of Lavras, Caixa Postal 3037, 37200-000 Lavras-MG, Brazil

Abstract

In this paper, we discuss the conditions for mapping the geometric description of the kinematics of particles that probe a given Hamiltonian in phase space to a description in terms of Finsler geometry (and vice-versa).

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Apoio à Pesquisa do Estado da Paraíba

Universidade Federal da Paraíba

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988782450155X

Reference27 articles.

1. Quantum-Spacetime Phenomenology

2. Quantum gravity phenomenology at the dawn of the multi-messenger era—A review

3. Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries

4. Hamilton geometry: Phase space geometry from modified dispersion relations

5. Planck-scale-modified dispersion relations in homogeneous and isotropic spacetimes

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