On the quasi-position representation in theories with a minimal length

DOI10.1088/1361-6382/abe758zbMath1481.83043arXiv2005.12258OpenAlexW3132933969MaRDI QIDQ5163336

Pasquale Bosso

Publication date: 3 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12258

zbMATH Keywords

quantum mechanicsminimal lengthgeneralized uncertainty principlequantum gravity phenomenology

Mathematics Subject Classification ID

Discrete event control/observation systems (93C65) Quantization of the gravitational field (83C45) Noncommutative geometry in quantum theory (81R60) Uncertainty relations, also entropic (81S07)

Related Items (17)

Constraining GUP models using limits on SME coefficients ⋮ Self-adjoint extensions for a \(p^4\)-corrected Hamiltonian of a particle on a finite interval ⋮ Minimal length phenomenology and the black body radiation ⋮ Generalized Heisenberg uncertainty principle due to the quantum gravitational effects in the Schwarzschild spacetime ⋮ Bell nonlocality in maximal-length quantum mechanics ⋮ Path integral in position-deformed Heisenberg algebra with maximal length uncertainty ⋮ 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 ⋮ Momentum gauge fields from curved momentum space through Kaluza–Klein reduction ⋮ Maximal momentum GUP leads to quadratic gravity ⋮ Effective GUP-modified Raychaudhuri equation and black hole singularity: four models ⋮ The minimal length is physical ⋮ Quantum gravitational signatures in next-generation gravitational wave detectors ⋮ Space and time transformations with a minimal length ⋮ On the algebraic approach to GUP in anisotropic space ⋮ A framework for nonrelativistic isotropic models based on generalized uncertainty principles

Cites Work

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• Generalized uncertainty principle, classical mechanics, and general relativity
• Signatures in the Planck regime
• Discreteness of area and volume in quantum gravity
• Modified commutators are not sufficient to determine a quantum gravity minimal length scale
• GUP-BASED AND SNYDER NONCOMMUTATIVE ALGEBRAS, RELATIVISTIC PARTICLE MODELS, DEFORMED SYMMETRIES AND INTERACTION: A UNIFIED APPROACH
• Classical and quantum mechanics of the nonrelativistic Snyder model in curved space
• Generalized uncertainty principle, black holes, and white dwarfs: a tale of two infinities
• On deformations of classical mechanics due to Planck-scale physics

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