Generalized uncertainty principle, classical mechanics, and general relativity

DOI10.1016/j.physletb.2020.135558zbMath1473.81089arXiv2004.04076OpenAlexW3015824152WikidataQ125365456 ScholiaQ125365456MaRDI QIDQ821431

Roberto Casadio, Fabio Scardigli

Publication date: 20 September 2021

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

Full work available at URL: https://arxiv.org/abs/2004.04076

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Geodesics in global differential geometry (53C22) Orbital mechanics (70M20) Equations of motion in general relativity and gravitational theory (83C10) Uncertainty relations, also entropic (81S07)

Related Items

The generalized uncertainty principle effect in acoustic black holes ⋮ Constraining GUP models using limits on SME coefficients ⋮ Higher-order generalized uncertainty principle applied to gravitational baryogenesis ⋮ Generalized uncertainty principle and quantum non-locality ⋮ Validity of black hole complementarity in the context of generalized uncertainty principle ⋮ 30 years in: Quo vadis generalized uncertainty principle? ⋮ Remarks on the quasi-position representation in models of generalized uncertainty principle ⋮ Modified entropies as the origin of generalized uncertainty principles ⋮ The GUP for non-relativistic Feynman propagator with energy-dependent mass ⋮ Modified Brans-Dicke cosmology with minimum length uncertainty ⋮ Massive vector particle tunneling from Kerr-Newman-de Sitter black hole under generalized uncertainty principle ⋮ Minimum length (scale) in quantum field theory, generalized uncertainty principle and the non-renormalisability of gravity ⋮ Lagrangian corresponding to some Gup models ⋮ Towards quantum mechanics on the curved cotangent bundle ⋮ Bosonic oscillator under a uniform magnetic field with Snyder-de Sitter algebra ⋮ Observational tests of the generalized uncertainty principle: Shapiro time delay, gravitational redshift, and geodetic precession ⋮ Reconciling a quantum gravity minimal length with lack of photon dispersion ⋮ Maximal momentum GUP leads to quadratic gravity ⋮ Effective GUP-modified Raychaudhuri equation and black hole singularity: four models ⋮ Deformed algebra and the effective dynamics of the interior of black holes ⋮ On the quasi-position representation in theories with a minimal length ⋮ Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy ⋮ Quantum gravity and the square of Bell operators ⋮ Darwinian standard model of physics obtains general relativity ⋮ Quantum gravitational signatures in next-generation gravitational wave detectors ⋮ A framework for nonrelativistic isotropic models based on generalized uncertainty principles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized uncertainty principle from quantum geometry
• The generalized uncertainty principle and black hole remnants
• Noncommutative geometry and the stability of circular orbits in a central force potential
• The gravitational equations and the problem of motion
• Generalized uncertainty principle, extra dimensions and holography
• Minimal length uncertainty relation and the hydrogen atom
• Minimal length effects on quantum cosmology and quantum black hole models
• Minimal length in quantum gravity, equivalence principle and holographic entropy bound
• Quantum gravity effects in geodesic motion and predictions of equivalence principle violation