Discreteness of space from GUP in strong gravitational fields

DOI10.1016/j.physletb.2020.135772zbMath1473.83023arXiv2006.05781OpenAlexW3084249994MaRDI QIDQ822398

Ashmita Das, Elias C. Vagenas, Saurya Das

Publication date: 22 September 2021

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05781

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantization of the gravitational field (83C45) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Equations of motion in general relativity and gravitational theory (83C10) Uncertainty relations, also entropic (81S07)

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Cites Work

• Lorentz-covariant deformed algebra with minimal length
• Black holes in higher dimensional space-times
• Signatures in the Planck regime
• Generalized uncertainty principle from quantum geometry
• GUP parameter from quantum corrections to the Newtonian potential
• Generalized uncertainty principle and angular momentum
• Discreteness of space from GUP in a weak gravitational field
• Minimal length scale scenarios for quantum gravity
• Relativistic generalized uncertainty principle
• A length operator for canonical quantum gravity
• Generalized uncertainty principle, extra dimensions and holography
• RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
• Minimal length uncertainty relation and the hydrogen atom
• Loop quantum gravity: an outside view
• Testable scenario for relativity with minimum length