Fetching the paper…
Reading the bibliography…
Quantum mechanical models with a minimal length are often described by modifying the commutation relation between position and momentum.
C. A. Mead, “Possible Connection Between Gravitation and Fundamental Length,” Phys. Rev
1964
Earlier work this paper cites.
D. J. Gross and P. F. Mende, “String theory beyond the Planck scale,” Nuclear Physics B
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, “Can spacetime be probed below the string size?,” Physics Letters B
1989
Earlier work this paper cites.
M. Maggiore, “A generalized uncertainty principle in quantum gravity.,” Physics Letters B
1993
Earlier work this paper cites.
M. Maggiore, “The algebraic structure of the generalized uncertainty principle.,” Physics Letter B
1993
Earlier work this paper cites.
L. J. Garay, “Quantum gravity and minimum length,” International Journal of Modern Physics A
1994
Earlier work this paper cites.
C. Rovelli and L. Smolin, “Discreteness of area and volume in quantum gravity,” Nuclear Physics B
1994
Earlier work this paper cites.
A. Kempf, G. Mangano, and R. B. Mann, “Hilbert space representation of the minimal length uncertainty relation,” Physical Review D
1995
Earlier work this paper cites.
F. Scardigli, “Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment,” Physics Letters B
1999
Earlier work this paper cites.
S. Hossenfelder, M. Bleicher, S. Hofmann, J. Ruppert, S. Scherer, and H. Stöcker, “Signatures in the Planck regime,” Physics Letters B
2003
Cited alongside, same era.
P. Jizba, H. Kleinert, and F. Scardigli, “Uncertainty Relation on World Crystal and its Applications to Micro Black Holes,” Phys. Rev. D
2010
Cited alongside, same era.
A. F. Ali, S. Das, and E. C. Vagenas, “Proposal for testing quantum gravity in the lab,” Physical Review D
2011
Cited alongside, same era.
S. Mignemi, “Classical and quantum mechanics of the nonrelativistic Snyder model in curved space,” Classical and Quantum Gravity
2012
Cited alongside, same era.
G. Amelino-Camelia, “Quantum-Spacetime Phenomenology,” Living Reviews in Relativity
2013
Cited alongside, same era.
P. Bosso, “Rigorous Hamiltonian and Lagrangian analysis of classical and quantum theories with minimal length,” Physical Review D
2018
Later among the works it cites.
Y. C. Ong, “Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities,” JCAP
2018
Later among the works it cites.
L. Buoninfante, G. G. Luciano, and L. Petruzziello, “Generalized Uncertainty Principle and Corpuscular Gravity,” Eur. Phys. J. C
2019
Later among the works it cites.
R. Casadio and F. Scardigli, “Generalized Uncertainty Principle, Classical Mechanics, and General Relativity,” Phys. Lett. B
2020
Closest in time.
O. I. Chashchina, A. Sen, and Z. K. Silagadze, “On deformations of classical mechanics due to Planck-scale physics,” Int. J. Mod. Phys. D
2020
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Pramanik and S. Ghosh, “GUP-based and Snyder Non-Commutative Algebras, Relativistic Particle models and Deformed Symmetries: A Unified Approach,” International Journal of Modern Physics A
2013
Cited alongside, same era.
S. Pramanik, S. Ghosh, and P. Pal, “Conformal invariance in noncommutative geometry and mutually interacting Snyder particles,” Physical Review D
2014
Cited alongside, same era.
F. Scardigli and R. Casadio, “Gravitational tests of the generalized uncertainty principle,” The European Physical Journal C
2015
Cited alongside, same era.
PhD thesis, University of Lethbridge, sep 2017
P. Bosso, Generalized Uncertainty Principle and Quantum Gravity Phenomenology · 2017
Cited alongside, same era.
M. Bishop, J. Lee, and D. Singleton, “Modified commutators are not sufficient to determine a quantum gravity minimal length scale,” Physics Letters B
2020
Closest in time.
P. Bosso, O. Obregón, S. Rastgoo, and W. Yupanqui, “Deformed algebra and the effective dynamics of the interior of black holes,” 12 2020
2020
Closest in time.
M. Blasone, G. Lambiase, G. G. Luciano, L. Petruzziello, and F. Scardigli, “Heuristic derivation of Casimir effect in minimal length theories,” Int. J. Mod. Phys. D
2020
Closest in time.