Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries

被引：9

作者：

Albuquerque, Saulo ^{[1
]}

Bezerra, Valdir B. ^{[1
]}

Lobo, Iarley P. ^{[2
,3
]}

Macedo, Gabriel ^{[1
]}

Morais, Pedro H. ^{[1
]}

Rodrigues, Ernesto ^{[1
]}

Santos, Luis C. N. ^{[1
]}

Varao, Gislaine ^{[1
]}

机构：

[1] Univ Fed Paraiba, Phys Dept, Caixa Postal 5008, BR-58059900 Joao Pessoa, PB, Brazil

[2] Univ Fed Paraiba, Dept Chem & Phys, Rodovia BR 079 Km 12, BR-58397000 Areia, PB, Brazil

[3] Univ Fed Lavras, Phys Dept, Caixa Postal 3037, BR-37200000 Lavras, MG, Brazil

来源：

PHYSICS | 2023年 / 5卷 / 01期

关键词：

quantum gravity phenomenology; Finsler geometry; Hamilton geometry; RAINBOW; THERMODYNAMICS; RELATIVITY;

D O I：

10.3390/physics5010008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we reviewtwo 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.

引用

页码：90 / 115

页数：26

共 68 条

[1] Quantum gravity phenomenology at the dawn of the multi-messenger era-A review [J].

Addazi, A. ;

Alvarez-Muniz, J. ;

Alves Batista, R. ;

Amelino-Camelia, G. ;

Antonelli, V ;

Arzano, M. ;

Asorey, M. ;

Atteia, J-L ;

Bahamonde, S. ;

Bajardi, F. ;

Ballesteros, A. ;

Baret, B. ;

Barreiros, D. M. ;

Basilakos, S. ;

Benisty, D. ;

Birnholtz, O. ;

Blanco-Pillado, J. J. ;

Blas, D. ;

Bolmont, J. ;

Boncioli, D. ;

Bosso, P. ;

Calcagni, G. ;

Capozziello, S. ;

Carmona, J. M. ;

Cerci, S. ;

Chernyakova, M. ;

Clesse, S. ;

Coelho, J. A. B. ;

Colak, S. M. ;

Cortes, J. L. ;

Das, S. ;

D'Esposito, V ;

Demirci, M. ;

Di Luca, M. G. ;

di Matteo, A. ;

Dimitrijevic, D. ;

Djordjevic, G. ;

Prester, D. Dominis ;

Eichhorn, A. ;

Ellis, J. ;

Escamilla-Rivera, C. ;

Fabiano, G. ;

Franchino-Vinas, S. A. ;

Frassino, A. M. ;

Frattulillo, D. ;

Funk, S. ;

Fuster, A. ;

Gamboa, J. ;

Gent, A. ;

Gergely, L. A. .

PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2022, 125

[2] Constraints on Lorentz Invariance Violation from HAWC Observations of Gamma Rays above 100 TeV [J].

Albert, A. ;

Alfaro, R. ;

Alvarez, C. ;

Angeles Camacho, J. R. ;

Arteaga-Velazquez, J. C. ;

Arunbabu, K. P. ;

Avila Rojas, D. ;

Solares, H. A. Ayala ;

Baghmanyan, V ;

Belmont-Moreno, E. ;

BenZvi, S. Y. ;

Brisbois, C. ;

Caballero-Mora, K. S. ;

Capistran, T. ;

Carraminana, A. ;

Casanova, S. ;

Cotti, U. ;

Cotzomi, J. ;

Coutino de Leon, S. ;

De la Fuente, E. ;

de Leon, C. ;

Dingus, B. L. ;

DuVernois, M. A. ;

Diaz-Velez, J. C. ;

Ellsworth, R. W. ;

Engel, K. ;

Espinoza, C. ;

Fleischhack, H. ;

Fraija, N. ;

Galvan-Gamez, A. ;

Garcia, D. ;

Garcia-Gonzalez, J. A. ;

Garfias, F. ;

Gonzalez, M. M. ;

Goodman, J. A. ;

Harding, J. P. ;

Hernandez, S. ;

Hona, B. ;

Huang, D. ;

Hueyotl-Zahuantitla, F. ;

Huntemeyer, P. ;

Iriarte, A. ;

Joshi, V ;

Lara, A. ;

Lee, W. H. ;

Leon Vargas, H. ;

Linnemann, J. T. ;

Longinotti, A. L. ;

Luis-Raya, G. ;

Lundeen, J. .

PHYSICAL REVIEW LETTERS, 2020, 124 (13)

[3]

Ambjorn J, 2012, FOUNDATIONS OF SPACE AND TIME: REFLECTIONS ON QUANTUM GRAVITY, P321

[4]

Amelino-Camelia G, 2002, INT J MOD PHYS D, V11, P35, DOI [10.1142/S0218271802001330, 10.1142/S021827180200302X]

[5]

Amelino-Camelia G, 2022, Arxiv, DOI [arXiv:2209.13726, 10.48550/arXiv.2209.13726 2209.13726, DOI 10.48550/ARXIV.2209.137262209.13726]

[6] Phenomenology of curvature-induced quantum-gravity effects [J].

Amelino-Camelia, Giovanni ;

Rosati, Giacomo ;

Bedic, Suzana .

PHYSICS LETTERS B, 2021, 820

[7] In vacuo dispersion features for gamma-ray-burst neutrinos and photons [J].

Amelino-Camelia, Giovanni ;

D'Amico, Giacomo ;

Rosati, Giacomo ;

Loret, Niccolo .

NATURE ASTRONOMY, 2017, 1 (07)

[8] Spacetime-noncommutativity regime of loop quantum gravity [J].

Amelino-Camelia, Giovanni ;

Da Silva, Malu Maira ;

Ronco, Michele ;

Cesarini, Lorenzo ;

Lecian, Orchidea Maria .

PHYSICAL REVIEW D, 2017, 95 (02)

[9] Realization of doubly special relativistic symmetries in Finsler geometries [J].

Amelino-Camelia, Giovanni ;

Barcaroli, Leonardo ;

Gubitosi, Giulia ;

Liberati, Stefano ;

Loret, Niccolo .

PHYSICAL REVIEW D, 2014, 90 (12)

[10] Quantum-Spacetime Phenomenology [J].

Amelino-Camelia, Giovanni .

LIVING REVIEWS IN RELATIVITY, 2013, 16

← 1 2 3 4 5 6 7 →