Hilbert Space Representation of the Minimal Length Uncertainty Relation

Abstract

The existence of a minimal observable length has long been suggested, in quantum gravity, as well as in string theory. In this context a generalized uncertainty relation has been derived which quantum theoretically describes the minimal length as a minimal uncertainty in position measurements. Here we study in full detail the quantum mechanical structure which underlies this uncertainty relation.

21 pages, latex, epsf, 4 figures, final version which appears in Physical Review D

References in corpus (5)

• Quantum gravity and minimum length
• The algebraic structure of the generalized uncertainty principle
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
• Gravitational Quantum Limit for Length Measurements

Cited by in corpus (1019)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Minimal Length Scale Scenarios for Quantum Gravity
• Quantum Spacetime Phenomenology
• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Probing Planck-scale physics with quantum optics
• Nonpointlike Particles in Harmonic Oscillators
• A proposal for testing Quantum Gravity in the lab
• Minimal Length Uncertainty Relation and Hydrogen Atom
• Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
• The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
• When conceptual worlds collide: The GUP and the BH entropy
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Signatures in the Planck Regime
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Doubly-Special Relativity: First Results and Key Open Problems
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Doubly Special Relativity theories as different bases of $\kappa$--Poincaré algebra
• Phenomenological Implications of the Generalized Uncertainty Principle
• Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
• An interferometric gravitational wave detector as a quantum-gravity apparatus
• Generalized Uncertainty Principle: Approaches and Applications
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
• Maximal Localisation in the Presence of Minimal Uncertainties in Positions and Momenta
• Generalized Uncertainty Principle, Extra-dimensions and Holography
• Gravitational tests of the Generalized Uncertainty Principle
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Gravitational Decoherence
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
• Dirac oscillator with nonzero minimal uncertainty in position
• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• GUP parameter from quantum corrections to the Newtonian potential
• Review on Generalized Uncertainty Principle
• On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
• Hydrogen-atom spectrum under a minimal-length hypothesis
• Probing deformed commutators with macroscopic harmonic oscillators
• Black hole thermodynamics with generalized uncertainty principle
• New realizations of Lie algebra kappa-deformed Euclidean space
• Quantum Metrology with Indefinite Causal Order
• Minimal Length Uncertainty Relation and gravitational quantum well
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Testing gravity with cold atom interferometry: Results and prospects
• Wave-Particle duality at the Planck scale: Freezing of neutrino oscillations
• Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Nonsingular Rainbow Universes
• Black hole thermodynamics with generalized uncertainty principle
• Displacement operator for quantum systems with position-dependent mass
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
• Composite system in deformed space with minimal length
• Self-consistency in Theories with a Minimal Length
• Black hole entropy without brick walls
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Lorentz-covariant deformed algebra with minimal length and application to the 1+1-dimensional Dirac oscillator
• Modified Unruh effect from Generalized Uncertainty Principle
• Some Aspects of Minimal Length Quantum Mechanics
• Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
• Classical and quantum mechanics of the nonrelativistic Snyder model
• Minimal length in Quantum Mechanics and non-Hermitian Hamiltonian systems
• New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Formulation, Interpretation and Application of non-Commutative Quantum Mechanics
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Gauge Theories under Incorporation of a Generalized Uncertainty Principle
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
• Quantum Tunneling of Massive Spin-1 Particles From Non-stationary Metrics
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Covariant realizations of kappa-deformed space
• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• Regularization of the Singular Inverse Square Potential in Quantum Mechanics with a Minimal length
• Perturbation hydrogen-atom spectrum in deformed space with minimal length
• Spacetime foam: from entropy and holography to infinite statistics and nonlocality
• The Casimir Effect in the Presence of a Minimal Length
• Physics on Smallest Scales - An Introduction to Minimal Length Phenomenology
• Quantum Mechanics and the Generalized Uncertainty Principle
• Lorentz violation and generalized uncertainty principle
• Testing of Generalized Uncertainty Principle With Macroscopic Mechanical Oscillators and Pendulums
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Gravity-wave interferometers as probes of a low-energy effective quantum gravity
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Running Coupling with Minimal Length
• Statistical physics in deformed spaces with minimal length
• Morse potential derived from first principles
• Massive Vector Particles Tunneling From Noncommutative Charged Black Holes and its GUP-corrected Thermodynamics
• The GUP effect on Hawking Radiation of the 2+1 dimensional Black Hole
• Planck scale effects on some low energy quantum phenomena
• The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
• Observing remnants by fermions' tunneling
• GUP Assisted Hawking Radiation of Rotating Acoustic Black Holes
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Minimal Length and Bouncing Particle Spectrum
• Minimum Length Cutoff in Inflation and Uniqueness of the Action
• Gravitational Uncertainty and Black Hole Remnants
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Extended Uncertainty Principle Black Holes
• Casimir Effect in the Presence of Minimal Lengths
• Background independent quantization and the uncertainty principle
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• Horizon wave-function for single localized particles: GUP and quantum black hole decay
• Thermodynamics and evaporation of the noncommutative black hole
• Generation of Cosmological Seed Magnetic Fields from Inflation with Cutoff
• The Casimir Effect in Minimal Length Theories based on a Generalized Uncertainity Principle
• Harmonic oscillator with minimal length uncertainty relations and ladder operators
• Exact solutions of the (2+1) Dimensional Dirac equation in a constant magnetic field in the presence of a minimal length
• Generalized Uncertainty Principle, Modified Dispersion Relations and Early Universe Thermodynamics
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Quantum Gravity Effects in Geodesic Motion and Predictions of Equivalence Principle Violation
• Black Hole Remnants in the Early Universe
• Matrix D-brane Dynamics, Logarithmic Operators and Quantization of Noncommutative Spacetime
• Some Aspects of Planck Scale Quantum Optics
• One dimensional Coulomb-like problem in deformed space with minimal length
• Singularities and the Finale of Black Hole Evaporation
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• Effects of quantum gravity on black holes
• Relativistic Generalized Uncertainty Principle
• Black Holes, Bandwidths and Beethoven
• GUP Hawking fermions from MGD black holes
• Remnants, fermions' tunnelling and effects of quantum gravity
• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• A class of GUP solutions in deformed quantum mechanics
• Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
• 30 years in: Quo vadis generalized uncertainty principle?
• Deformed Heisenberg algebra with minimal length and equivalence principle
• Quantum Space-time and Classical Gravity
• Minimal Length and Generalized Dirac Equation
• Fermion's tunnelling with effects of quantum gravity
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Corrections to the ns-levels of hydrogen atom in deformed space with minimal length
• Lorentz-covariant deformed algebra with minimal length
• Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Enlarged Bound on the Measurability of Distances and Quantum $\kappa$-Poincarè Group
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• GUP parameter from Maximal Acceleration
• Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
• Massive quantum systems as interfaces of quantum mechanics and gravity
• The generalized and extended uncertainty principles and their implications on the Jeans mass
• Modified Dispersion Relation, Photon's Velocity, and Unruh Effect
• Multi-Particle States in Deformed Special Relativity
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
• Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
• Classical and Quantum Features of the Mixmaster Singularity
• The Minimal Length and Large Extra Dimensions
• Unitary Quantum Physics with Time-Space Noncommutativity
• Constraining the generalized uncertainty principle with cold atoms
• Hydrogen atom in momentum space with a minimal length
• Suppressed Black Hole Production from Minimal Length
• Quantum Theory of Noncommutative Fields
• GUP parameter and black hole temperature
• Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
• Semiclassical corrections to black hole entropy and the generalized uncertainty principle
• Localization of Events in Space-Time
• A Covariant Information-Density Cutoff in Curved Space-Time
• Entropy of black holes in the deformed Hořava-Lifshitz gravity
• On Noncommutative Geometric Regularisation
• Neutrino oscillations as a novel probe for a minimal length
• Generalized uncertainty principles and quantum field theory
• About maximally localized states in quantum mechanics
• Entangled Particles Tunneling From a Schwarzschild Black Hole immersed in an Electromagnetic Universe with GUP
• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• On the modification of Hamiltonians' spectrum in gravitational quantum mechanics
• More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
• Cosmological Horizons, Uncertainty Principle and Maximum Length Quantum Mechanics
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Generalized uncertainty principle impact onto the black holes information flux and the sparsity of Hawking radiation
• New generalized uncertainty principle from the doubly special relativity
• The deformation parameter of the generalized uncertainty principle
• Mimimal Length Uncertainty Principle and the Transplanckian Problem of Black Hole Physics
• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• Dilaton Cosmology, Noncommutativity and Generalized Uncertainty Principle
• Probing the minimal length scale by precision tests of the muon g-2
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• More on the initial singularity problem in gravity's rainbow cosmology
• GUP-based and Snyder Non-Commutative Algebras, Relativistic Particle models and Deformed Symmetries: A Unified Approach
• Minimal length, maximal momentum and the entropic force law
• Generalized Uncertainty Principle and Angular Momentum
• Scattering problem in deformed space with minimal length
• Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole
• Modified Dispersion Relations and Black Hole Entropy
• Black Hole Entropy with minimal length in Tunneling formalism
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
• On the Minimal Length Uncertainty Relation and the Foundations of String Theory
• Dunkl-Klein-Gordon equation in three-dimensions: The Klein-Gordon oscillator and Coulomb Potential
• Amplified transduction of Planck-scale effects using quantum optics
• Generalized kappa-deformed spaces, star-products, and their realizations
• Effect of the Generalized Uncertainty Principle on Post-Inflation Preheating
• Rigorous Hamiltonian and Lagrangian analysis of classical and quantum theories with minimal length
• The Most General Form of Deformation of the Heisenberg Algebra from the Generalized Uncertainty Principle
• Maths-type q-deformed coherent states for q > 1
• Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
• Entropy of a charged black hole in two dimensions without cutoff
• Massive vector particles tunneling from black holes influenced by the generalized uncertainty principle
• A noncommutative approach to the cosmological constant problem
• Generalized uncertainty principle in Bianchi type I quantum cosmology
• Bekenstein bound and uncertainty relations
• The extended uncertainty principle inspires the Rényi entropy
• Time-dependent q-deformed coherent states for generalized uncertainty relations
• Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
• Noncommutative $q$-photon added coherent states
• Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
• On the Tensor/Scalar Ratio in Inflation with UV Cutoff
• On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation
• Implications of Minimal Length Scale on the Statistical Mechanics of Ideal Gas
• Cosmological Constant from a Deformation of the Wheeler-DeWitt Equation
• Modelling Casimir Wormholes in Extended Gravity
• Squeezed coherent states for noncommutative spaces with minimal length uncertainty relations
• Derivations of group rings
• Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
• PT-symmetric noncommutative spaces with minimal volume uncertainty relations
• Baryogenesis in non-extensive Tsallis Cosmology
• Non-commutative SU(N) gauge theories and asymptotic freedom
• Exact solution of the Klein Gordon equation in the presence of a minimal length
• Time Crystals from Minimum Time Uncertainty
• Interface of Gravitational and Quantum Realms
• Generalized uncertainty principle and Asymptotic Safe gravity
• On Quantum Gravity Tests with Composite Particles
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Baryon Asymmetry from the Generalized Uncertainty Principle
• High energy modifications of blackbody radiation and dimensional reduction
• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• Quantum Gravitational Corrections to the Real Klein-Gordon Field in the Presence of a Minimal Length
• Quantum Black Hole and the Modified Uncertainty Principle
• "Stringy" Coherent States Inspired By Generalized Uncertainty Principle
• Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
• The Path Integral Quantization corresponding to the Deformed Heisenberg Algebra
• Lagrangian for Frenkel electron and position's non-commutativity due to spin
• Generalized uncertainty principle or curved momentum space?
• Thermodynamics of the Reissner-Nordström black hole with quintessence matter on the EGUP framework
• Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities
• A new bound on polymer quantization via an opto-mechanical setup
• Noncommutative quantum mechanics in a time-dependent background
• Extended GUP formulation and the role of momentum cut-off
• Doubly special relativity in de Sitter spacetime
• Position and Momentum Uncertainties of the Normal and Inverted Harmonic Oscillators under the Minimal Length Uncertainty Relation
• Generalized Uncertainty Principle and Quantum Electrodynamics
• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
• Strings from position-dependent noncommutativity
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
• Nambu Quantum Mechanics: A Nonlinear Generalization of Geometric Quantum Mechanics
• High temperature dimensional reduction in Snyder space
• Lorentz invariant intrinsic decoherence
• Glimpses on the micro black hole Planck phase
• Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications
• Electroweak Theory with a Minimal Length
• Remarks on remnants by fermions' tunnelling from black strings
• Particle Dynamics on Snyder space
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Quantum Gravity Corrections and Entropy at the Planck time
• Scale--dependent Hayward black hole and the generalized uncertainty principle
• Heuristic derivation of Casimir effect in minimal length theories
• The minimal length uncertainty and the quantum model for the stock market
• Dirac particles' tunnelling from 5-dimensional rotating black strings influenced by the generalized uncertainty principle
• Singular inverse square potential in coordinate space with a minimal length
• Noncommutative Differential Forms on the kappa-deformed Space
• On γ-rigid regime of the Bohr-Mottelson Hamiltonian in the presence of a minimal length
• On the quasi-position representation in theories with a minimal length
• Generalized Uncertainty Principle and the Ramsauer-Townsend Effect
• Towards a Cosmology with Minimal Length and Maximal Energy
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Quantum gravity, minimum length and Keplerian orbits
• Bounds on GUP parameters from GW150914 and GW190521
• Hubble tension bounds the GUP and EUP parameters
• Generalized Uncertainty Principle Removes The Chandrasekhar Limit
• Corrections to the black body radiation due to minimum-length deformed quantum mechanics
• Quantum-optical tests of Planck-scale physics
• Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon
• Generalised uncertainty relations for angular momentum and spin in quantum geometry
• Quantum-Corrected Black Hole Thermodynamics in Extra Dimensions
• Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
• Discreteness of Space from GUP in a Weak Gravitational Field
• Nonclassicality versus entanglement in a noncommutative space
• Quantum gravity effects on compact star cores
• High energy bosons do not propagate
• Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe
• Probing noncommutative theories with quantum optical experiments
• Thermal BEC black holes
• Spacetime Curvature in terms of Scalar Field Propagators
• Generalized uncertainty relations and coherent and squeezed states
• Replacing the Notion of Spacetime Distance by the Notion of Correlation
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Modified commutators are not sufficient to determine a quantum gravity minimal length scale
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Do the Modified Uncertainty Principle and Polymer Quantization predict same physics?
• Noncommutative gauge theories and Lorentz symmetry
• Deformation of the Wheeler-DeWitt Equation
• The minimal length is physical
• Interferometric Tests of Planckian Quantum Geometry Models
• Casimir-Polder intermolecular forces in minimal length theories
• A freely falling frame at the interface of gravitational and quantum realms
• Hermitian versus non-Hermitian representations for minimal length uncertainty relations
• Comparison of the Semiclassical and Quantum Dynamics of the Bianchi I Cosmology in the Polymer and GUP Extended Paradigms
• Effects of the Generalized Uncertainty Principle on Compact Stars
• Quantum field theory with the generalized uncertainty principle I: scalar electrodynamics
• One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
• Doubly special relativity and translation invariance
• Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
• Noncommutativity, generalized uncertainty principle and FRW cosmology
• Near horizon thermodynamics of hairy black holes from gravitational decoupling
• Effects of GUP in Quantum Cosmological Perfect Fluid Models
• Saez-Ballester gravity in Kantowski-Sachs Universe: a new reconstruction paradigm for Barrow Holographic Dark Energy
• Neutrino oscillations in the Unruh radiation
• Quantum Wells and the Generalized Uncertainty Principle
• Exploring the Hubble tension with a late time Modified Gravity scenario
• Holographic Cosmology from the First Law of Thermodynamics and the Generalized Uncertainty Principle
• Gravitationally induced uncertainty relations in curved backgrounds
• The Generalized Uncertainty Principle and the Friedmann equations
• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Quantum Mechanics of Extended Objects
• Maximal momentum GUP leads to quadratic gravity
• Hausdorff dimension of a particle path in a quantum manifold
• Spacetime singularity resolution in Snyder noncommutative space
• Thermodynamics and logarithmic corrections of symmergent black holes
• On the (2+1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty
• Coherent States of Harmonic Oscillator and Generalized Uncertainty Principle
• A revision of the Generalized Uncertainty Principle
• Deformed Special Relativity in Position Space
• Relativistic quantum heat engine from uncertainty relation standpoint
• Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs
• Generalized Uncertainty Principle Corrections to the Simple Harmonic Oscillator in Phase Space
• Deviation from the Standard Uncertainty Principle and the Dark Energy Problem
• Influence of a Minimal Length on the Creation of Scalar Particles
• Ground State of the Hydrogen Atom via Dirac Equation in a Minimal Length Scenario
• Harmonic oscillator with minimal length, minimal momentum, and maximal momentum uncertainties in SUSYQM framework
• Path Integral for non-relativistic Generalized Uncertainty Principle corrected Hamiltonian
• Gauss-Bonnet Cosmology with Induced Gravity and Non-Minimally Coupled Scalar Field on the Brane
• Orbital magnetic moment of the electron in the hydrogen atom in deformed space with minimal length
• Deformed Heisenberg algebra and minimal length
• Minimal Scales from an Extended Hilbert Space
• Deformed algebra and the effective dynamics of the interior of black holes
• Point-like sources and the scale of quantum gravity
• Cosmology with minimal length uncertainty relations
• Natural Cutoffs via Compact Symplectic Manifolds
• Minimal Length and the Quantum Bouncer: A Nonperturbative Study
• Uncertainty principle on 3-dimensional manifolds of constant curvature
• Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
• Exact Ultra Cold Neutrons' Energy Spectrum in Gravitational Quantum Mechanics
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• The Minimal Length and the Quantum Partition Functions
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Short distance modification of the quantum virial theorem
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Influence of GUP corrected Casimir energy on zero tidal force wormholes in modified teleparallel gravity with matter coupling
• A note on the one-dimensional hydrogen atom with minimal length uncertainty
• Black hole thermodynamics in the presence of a maximal length and minimum measurable in momentum
• Gravitational Effects in Quantum Mechanics
• Minimum length effects in black hole physics
• Tunneling of Glashow-Weinberg-Salam model particles from Black Hole Solutions in Rastall Theory
• Chiral gravitational waves from z=2 Hořava-Lifshitz gravity
• EUP-corrected thermodynamics of BTZ black hole
• Constraints via the Event Horizon Telescope for Black Hole Solutions with Dark Matter under the Generalized Uncertainty Principle Minimal Length Scale Effect
• Hypothesis of path integral duality: Applications to QED
• Path Integral Approach to Noncommutative Space-Times
• On the Stability of Planetary Circular Orbits in Noncommutative Spaces
• The GUP and quantum Raychaudhuri equation
• Noncommutative correction to the entropy of BTZ black hole with GUP
• Polymeric Quantization and Black Hole Thermodynamics
• Noncommutative Geometry for Pedestrians
• Einstein static universe from GUP
• Quantum theory of the Generalised Uncertainty Principle
• Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
• The Classical Limit of Minimal Length Uncertainty Relation:Revisit with the Hamilton-Jacobi Method
• Quantum cosmology, minimal length and holography
• Deformed Density Matrix and Quantum Entropy of the Black Hole
• The minimal length: a cut-off in disguise?
• Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy
• Ground-state isolation and discrete flows in a rationally extended quantum harmonic oscillator
• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Quantum gravity, information theory and the CMB
• Evaporation of Black Hole Under the Effect of Quantum Gravity
• Some Astrophysical Aspects of a Schwarzschild Geometry Equipped with a Minimal Measurable Length
• The Constraints and Spectra of a Deformed Quantum Mechanics
• Modification of Schrödinger-Newton equation due to braneworld models with minimal length
• GUP modified Hawking Radiation and Transmission/Reflection Coefficients of Rotating Polytropic Black Hole
• Locality and entanglement in bandlimited quantum field theory
• Lagrangian Formulation of a Magnetostatic Field in the Presence of a Minimal Length Scale Based on the Kempf Algebra
• An introduction to PT-symmetric quantum mechanics -- time-dependent systems
• Inconstant Planck's constant
• The generalized uncertainty principle effect in acoustic black holes
• Quantum black holes in bootstrapped Newtonian gravity
• Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle
• Testing Generalised Uncertainty Principles through Quantum Noise
• Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology
• Black Hole Corrections due to Minimal Length and Modified Dispersion Relation
• $\alpha$-attractor inflation modified by GUP in light of ACT observations
• Failure of Standard Thermodynamics in Planck Scale Black Hole System
• A Possible Mechanism for Production of Primordial Black Holes
• Determining the Minimal Length Scale of the Generalized Uncertainty Principle from the Entropy-Area Relationship
• Quantum phase transitions of the Dirac oscillator in a minimal length scenario
• Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*
• Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity
• Quantum-corrected rotating acoustic black holes in Lorentz-violating background
• Coherent States in Gravitational Quantum Mechanics
• Minimal length effect on the broadening of free wave-packets and its physical implications
• Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
• Horizon Problem Remediation via Deformed Phase Space
• Quantum Minimal Length and Transplanckian Photons
• Reflections of the observer and the observed in quantum gravity
• Dilaton cosmology and the Modified Uncertainty Principle
• Maximally Localized States in Quantum Mechanics with a Modified Commutation Relation to All Orders
• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• Discreteness of Space from GUP in Strong Gravitational Fields
• Minimal areas from q-deformed oscillator algebras
• Non-commutative space-time and the uncertainty principle
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Minimum length (scale) in Quantum Field Theory, Generalized Uncertainty Principle and the non-renormalisability of gravity
• Quantum Phase Space from String Solitons
• The minimum mass of a charged spherically symmetric object in $D$ dimensions, its implications for fundamental particles, and holography
• Generalized uncertainty principle in resonant detectors of gravitational waves
• Kinetic inflation in deformed phase space Brans-Dicke cosmology
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry
• Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics
• Quantum Gravity Effect on the Tunneling Particles from 2+1 dimensional New-type Black Hole
• Violation of equivalence in an accelerating atom-mirror system in the generalized uncertainty principle framework
• Universality of minimal length
• Minimum-length deformed QM/QFT, issues and problems
• A Subtle Aspect of Minimal Lengths in the Generalized Uncertainty Principle
• Exactly solvable problems in the momentum space with a minimum uncertainty in position
• Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
• Effect of minimal length uncertainty on the mass-radius relation of white dwarfs
• Reconciling a quantum gravity minimal length with lack of photon dispersion
• Quantization of fields based on Generalized Uncertainty Principle
• The quantum N-body problem with a minimal length
• The Mixmaster Universe in a generalized uncertainty principle framework
• WKB approximation in deformed space with minimal length and minimal momentum
• Effect of Minimal lengths on Electron Magnetism
• Emergent Universe Model from Modified Heisenberg Algebra
• Effects of the Modified Uncertainty Principle on the Inflation Parameters
• Coulomb potential in one dimension with minimal length: A path integral approach
• Quantum gravity simulation by non-paraxial nonlinear optics
• Generalized Uncertainty Principle and Self-Adjoint Operators
• Probing deformed quantum commutators
• Black hole thermodynamics and modified GUP consistent with doubly special relativity
• AdS/CFT Correspondence Beyond its Supergravity Approximation
• GUP black hole remnants in quadratic gravity
• Bound on efficiency of heat engine from uncertainty relation viewpoint
• New generalized uncertainty principle with parameter adaptability for the minimum length
• Finite electrodynamics from T-duality
• Quantum-spacetime effects on nonrelativistic Schrödinger evolution
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• Modified Newton's Law of Gravitation Due to Minimal Length in Quantum Gravity
• Optimal uncertainty relations in a modified Heisenberg algebra
• Existence of Chandrasekhar's limit in GUP white dwarfs
• Path integral action of a particle with the generalized uncertainty principle and correspondence with noncommutativity
• Inflationary universe in the presence of a minimal measurable length
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• On deformations of classical mechanics due to Planck-scale physics
• Gravitational effects on the Heisenberg Uncertainty Principle: a geometric approach
• Thermostatistics of the Polymeric Ideal Gas
• Exact solutions of the (2+1) -dimensional Dirac oscillator under a magnetic field in the presence of a minimal length in the noncommutative phase-space
• Non-commutative space engine: a boost to thermodynamic processes
• Ultraviolet cut off and Bosonic Dominance
• Some Consequences of a Generalization to Heisenberg Algebra in Quantum Electrodynamics
• Quantum tunneling from high dimensional Gödel black hole
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Schwinger Pair Production and the Extended Uncertainty Principle: Can Heuristic Derivations Be Trusted?
• A Possible Solution of the Cosmological Constant Problem based on Minimal Length Uncertainty and GW170817 and PLANCK Observations
• Minimal and maximal lengths from position-dependent noncommutativity
• New higher-order generalized uncertainty principle: Applications
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
• Relativistic Extended Uncertainty Principle from Spacetime Curvature
• Constraining the generalized uncertainty principle with the atomic weak-equivalence-principle test
• Generalized relativistic harmonic oscillator in minimal length quantum mechanics
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Fermions tunnelling with quantum gravity correction
• Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Quantization of Scalar Fields in Curved Background and Quantum Algebras
• On Nonlocality, Lattices and Internal Symmetries
• Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length
• Lagrangian reconstruction of Barrow holographic dark energy in interacting tachyon model
• Effects of the Generalized Uncertainty Principle on Quantum Tunneling
• Wave Packets Propagation in Quantum Gravity
• Building a case for a Planck-scale-deformed boost action: the Planck-scale particle-localization limit
• Minimal spatio-temporal extent of events, neutrinos, and the cosmological constant problem
• Probing quantum gravity effects with quantum mechanical oscillators
• Weakly nonadditive Polychronakos statistics
• Modified Friedmann equations from DSR-GUP
• Searching for signals of minimal length in extra dimensional models using dilepton production at hadron colliders
• Fermi equation of state with finite temperature corrections in quantum space-times approach: Snyder model vs GUP case
• Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
• Polymer Quantum Dynamics of the Taub Universe
• Bounds on quantum gravity parameter from the $SU(2)$ NJL effective model of QCD
• Noncommutative Geometry and Fluid Dynamics
• Indirect Probe of Quantum Gravity using Molecular Wave-packets
• Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
• On entropic uncertainty relations in the presence of a minimal length
• Modified commutation relationships from the Berry-Keating program
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• Deformation of Second and Third Quantization
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
• Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
• On the spin of gravitational bosons
• Effects of the Generalized Uncertainty Principle on the Inflation Parameters
• Investigation of generalised uncertainty principle effects on FRW cosmology
• Formulation of the Spinor Field in the Presence of a Minimal Length Based on the Quesne-Tkachuk Algebra
• Effect of GUP on Hawking radiation of BTZ black hole
• Self-quartic interaction for a scalar field in an extended DFR noncommutative spacetime
• The Quantum Field Theory Boundaries Applicability and Black Holes Thermodynamics
• Lorentz invariant mass and length scales
• Generalized Quantization Principle in Canonical Quantum Gravity and Application to Quantum Cosmology
• Pseudoharmonic oscillator in quantum mechanics with a minimal length
• Black hole interior quantization: a minimal uncertainty approach
• Quantum uncertainty relation based on the mean deviation
• Spectrum of the hydrogen atom in Snyder space in a semiclassical approximation
• Probing Planck Scale Spacetime By Cavity Opto-Atomic ${}^{87}$Rb Interferometry
• GUP and Point Interaction
• Classical polymerization of the Schwarzschild metric
• The Universe as a Nonuniform Lattice in the Finite-Dimensional Hypercube II.Simple Cases of Symmetry Breakdown and Restoration
• Consequences of Minimal Length Discretization on Line Element, Metric Tensor and Geodesic Equation
• Non-commutative effects on gravitational measurements
• Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle
• Semiclassical and Quantum Polymer Effects in the Flat Isotropic Universe
• Quantum walks, deformed relativity, and Hopf algebra symmetries
• Impact of relativity on particle localizability and ground state entanglement
• Effective Mass Quantum Systems with Displacement Operator: Inverse Square plus Coulomb-like Potential
• Chaotic Motion around a Black Hole under Minimal Length Effects
• Maximally localized states and causality in non commutative quantum theories
• Modified entropies as the origin of generalized uncertainty principles
• Evaluation of physical properties of Kiselev like AdS spacetime in the context of $f(R,T)$ gravity under the impact of quantum gravity
• Deformed phase space in a two dimensional minisuperspace model
• Coherent States for the Non-Linear Harmonic Oscillator
• On the viability of Planck scale cosmology with quartessence
• Implication of geodesic equation in Generalized Uncertainty Principle framework
• GUP-Corrected van der Waals Black Holes
• Constraining Snyder and GUP models with low-mass stars
• Hawking Radiation Under Generalized Uncertainty Principle
• Non-Singular Gravitational Collapse through Modified Heisenberg Algebra
• Decoherence and bare mass induced by nonconformal metric fluctuations
• Multi-Dimensional Cosmology and GUP
• A new representation for non--local operators and path integrals
• Minimal Length, Nuclear Matter, and Neutron Stars
• Generalized commutation relations and Non linear momenta theories, a close relationship
• Detecting the effects of quantum gravity with exceptional points in optomechanical sensors
• Minimal Length Uncertainty Relations and New Shape Invariant Models
• Covariant formulation of Generalised Uncertainty Principle
• Planck-Scale Traces from the Interference Pattern of two Bose-Einstein Condensates
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Tsallis uncertainty
• Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
• Generalized Extended Momentum Operator
• Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology
• The minimal length and the Shannon entropic uncertainty relation
• On the boundary conditions in deformed quantum mechanics with minimal length uncertainty
• UV And IR Effects On Hawking Radiation
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
• Higher-order generalized uncertainty principle corrections to the Jeans mass
• Polymer quantization versus the Snyder noncommutative space
• A novel mechanism for probing the Planck scale
• Imaginary Interactions with Minimum Length
• On the difference between Poincaré and Lorentz gravity
• The Effects of Minimal Length in Entropic Force Approach
• Corrections to Scattering Processes due to Minimal Measurable Length
• Reinterpreting deformed Heisenberg algebras
• Matrix oscillator and Calogero-type models
• The Density Matrix Deformation in Physics of the Early Universe and Some of its Implications
• Discreteness of time in the evolution of the universe
• Thermodynamic phase transition based on the non-singular temperature
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Diffraction in Time of Polymer Particles
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• The Harmonic Oscillator in the Classical Limit of a Minimal-Length Scenario
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Quantum gravitational signatures in next-generation gravitational wave detectors
• The minimal length uncertainty and the nonextensive thermodynamics
• Generalized Extended Uncertainty Principles, Liouville theorem and density of states: Snyder-de Sitter and Yang models
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• One-dimensional Coulomb-like problem in general case of deformed space with minimal length
• Perspectives on Quantum Gravity Phenomenology
• On the uncertainty principle in Rindler and Friedmann spacetimes
• Some aspects of quantum mechanics and field theory in a Lorentz invariant noncommutative space
• WKB approximation in deformed space with minimal length
• A generalized uncertainty-inspired quantum black hole
• Some Implications of Two Forms of the Generalized Uncertainty Principle
• Constraining the generalized uncertainty principle with neutron interferometry
• Hawking radiation of Dirac monopoles from the global monopole black hole with quantum gravity effects
• Time-space noncommutativity and Casimir effect
• Lagrange multiplier and Wess-Zumino variable as large extra dimensions in the torus universe
• Polymer Quantum Mechanics as a Deformation Quantization
• Density matrix and dynamical aspects of Quantum Mechanics with Fundamental Length
• Generalized uncertainty principle and $D$-dimensional quantum mechanics
• Dirac $\delta$-function potential in quasiposition representation of a minimal-length scenario
• Improved constraints on minimum length models with a macroscopic low loss phonon cavity
• Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction
• The more things change the more they stay the same: Minimum lengths with unmodified uncertainty principle and dispersion relation
• Extending general covariance: Moyal-type noncommutative manifolds
• n-dimensional non-commutative GUP quantization and application to the Bianchi I model
• Position-dependent mass in strong quantum gravitational background fields
• Generalized uncertainty principle and stochastic gravitational wave background spectrum
• Quantum Statistical Entropy and Minimal Length of 5D Ricci-flat Black String with Generalized Uncertainty Principle
• Effect of the GUP on the Entropy, Speed of Sound, and Bulk to Shear Viscosity Ratio of an ideal QGP
• Test of Quantum Gravity in Statistical Mechanics
• The thermodynamics and phase transition of a rainbow black hole
• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
• Minimal Length, Measurability and Gravity
• Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in anti-de Sitter Black Holes via Charged Particle Absorption
• Generalized uncertainty principle and thermostatistics: a semiclassical approach
• Cosmology from String T-duality and zero-point length
• Neutrino Decoherence from Generalised Uncertainty
• Constraining GUP Models Using Limits on SME Coefficients
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Challenging $\Lambda$CDM with Higher-Order GUP Corrections
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• On the reformulation of Thomas-Fermi model to make it compatible to the Planck-scale
• An infinite square-well potential as a limiting case of a finite square-well potential in a minimal-length scenario
• Discrete fuzzy de Sitter cosmology
• Charged fermions tunneling from stationary axially symmetric black holes with generalized uncertainty principle
• Minimal length and the flow of entropy from black holes
• Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?
• Does space-time torsion determine the minimum mass of gravitating particles?
• The fragmentation instability of a black hole with $f(R)$ global monopole under GUP
• The tunneling radiation of a black hole with a $f(R)$ global monopole under generalized uncertainty principle
• A new mass scale, implications on black hole evaporation and holography
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Massive fermions interacting via a harmonic oscillator in the presence of a minimal length uncertainty relation
• Path integrals in Snyder space
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
• Constraints on Operator Ordering from Third Quantization
• The solitary solutions of nonlinear Klein-Gordon field with minimal length
• Dimension of quantum channel of radiation in pure Lovelock black holes
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• Topological Defects in a Deformed Gauge Theory
• Late time cosmic acceleration from natural infrared cutoff?
• Entropy of the FRW universe based on the generalized uncertainty principle
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole
• Supersymmetric Field Theory Based on Generalized Uncertainty Principle
• Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
• Path integral action for a resonant detector of gravitational waves in the generalized uncertainty principle framework
• Path Integral for Non-Paraxial Optics
• Generalized entropic gravity from modified Unruh temperature
• Schwinger's Model of Angular Momentum with GUP
• The dominating mode of two competing massive modes of quadratic gravity
• Testing Short Distance Anisotropy in Space
• Noncommutative spaces and covariant formulation of statistical mechanics
• Space and time transformations with a minimal length
• Quantum oscillations in the black hole horizon
• Exact Solution of Schrödinger Equation in (Anti-)de Sitter Spaces for Hydrogen Atom
• Massless Charged Particles Tunneling Radiation from a RN-dS Horizon and the Linear and Quadratic GUP
• Exact Solutions of D-dimensional Klein-Gordon Oscillator with Snyder-de Sitter Algebra
• Hawking radiation and stability of the canonical acoustic black holes
• Why space could be quantised on a different scale to matter
• Uncertainty principle in quantum mechanics with Newton's gravity
• Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
• Quantum Gravity signals in neutrino oscillations
• Modified uncertainty principle from the free expansion of a Bose-Einstein Condensate
• The Bekenstein-Hawking Corpuscular Cascading from the Backreacted Black Hole
• Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
• The role of an invariant IR cutoff in late time cosmological dynamics
• Quantum, noncommutative and MOND corrections to the entropic law of gravitation
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime
• Generalized Uncertainty Principle theories and their classical interpretation
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• Radiation of Charged Black Holes and Modified Dispersion Relation
• Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP
• Minimal Length Phenomenology and the Black Body Radiation
• A comparison of remnants in noncommutative Bardeen black holes
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• Comments on the cosmological constant in generalized uncertainty models
• Deformed spaces and loop cosmology
• Minimal length scale correction in the noise of gravitons
• Quantum phase transitions of the Dirac oscillator in the Anti-Snyder model
• $1+1$-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum
• Minimal Length Effects on Entanglement Entropy of Spherically Symmetric Black Holes in Brick Wall Model
• Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity
• Black Remnants from T-Duality
• Ultraviolet cut off, black hole-radiation equilibrium and big bang
• Minimal length effects in black hole thermodynamics from tunneling formalism
• Using Neutrinos to test the Time-Energy Uncertainty Relation in an Extreme Regime
• Approximate solutions for N-body Hamiltonians with identical particles in D dimensions
• Charged shells and elementary particles
• Exotic fermionic fields and minimal length
• Dark Matter as an effect of a minimal length
• Effect of GUP on the Kepler problem and a variable minimal length
• Removing the Big Bang Singularity: The role of the generalized uncertainty principle in quantum gravity
• Can Quantum Gravitational Effects Manifest themselves at Large Distances?
• Minimum black hole mass from colliding Gaussian packets
• Quantum Metrology with Coherent Superposition of Two Different Coded Channels
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• Gravitational measurements in higher dimensions
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Discreteness Of Curved Space-Time From GUP
• Corrections to the Emergent Canonical Commutation Relations Arising in the Statistical Mechanics of Matrix Models
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• Dual DSR
• Field theory on evolving fuzzy two-sphere
• Relation of deformed nonlinear algebras with linear ones
• Entropy bound for the photon gas in noncommutative spacetime
• Multi-Dimensional Cosmology and DSR-GUP
• Measurable Maximal Energy and Minimal Time Interval
• The Mass Gap of the Space-time and its Shape
• Cosmology from quantum potential in a system of oscillating branes
• Probable ratio of the vacuum energy in a Schwarzchild-de Sitter space
• Generalized Uncertainty principle and momentum-dependent effective mass Schrodinger equation
• Quantum Entanglement with Generalized Uncertainty Principle
• Minimal-length quantum field theory: a first-principle approach
• Elementary Quantum Mechanics in a Space-time Lattice
• Non-Relativistic Anti-Snyder Model and Some Applications
• Dynamics of the Mixmaster Universe in a non-commutative Generalized Uncertainty Principle framework
• Polymer quantization and advanced gravitational wave detector
• Uncertainty principle from the noise of gravitons
• Study of tunneling radiation and thermal fluctuations of a gauge super gravity like black hole
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Effect of RGUP on the nonlinear Klein-Gordon model with spontaneous symmetry breaking
• Generalised Uncertainty Relations from Finite-Accuracy Measurements
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Deformed classical-quantum mechanics transition
• Entropy of Kerr-Newman black hole to all orders in the Planck length
• Top quark phenomenology of the ADD model and the Minimal Length Scenario
• Theoretical and Observational Implications of Planck's Constant as a Running Fine Structure Constant
• Exactly solvable dynamical models with a minimal length uncertainty
• Photon velocity, power spectrum in Unruh effect with modified dispersion relation
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Covariant bandlimitation from Generalized Uncertainty Principles
• Generalized uncertainty principle in quantum cosmology for the maximally symmetric space
• Bound states of moving potential wells in discrete wave mechanics
• Semiclassical resolution of the black hole singularity inspired in the minimal uncertainty approach
• Remarks on the harmonic oscillator with a minimal position uncertainty
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• Scattering and absorption by extra-dimensional black holes with GUP
• Canonical transformations and minimal length
• A note on quantization of matrix models
• Near-Dirichlet quantum dynamics for a $p^3$-corrected particle on an interval
• Penetration of Arbitrary Double Potential Barriers with Probability Unity: Implications for Testing the Existence of a Minimum Length
• Fundamental Length,Deformed Density Matrix and New View on the Black Hole Information Paradox
• Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
• Entropic uncertainty relations for successive measurements in the presence of a minimal length
• Exact solutions for two-body problems in 1D deformed space with minimal length
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Visible Energy Alternative to Dark Energy
• Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
• Two-dimensional Klein-Gordon Oscillator in the presence of a minimal length
• Comment on "Path integral action of a particle with the generalized uncertainty principle and correspondence with noncommutativity"
• The Stark Effect with Minimum Length
• Quantum probes for universal gravity corrections
• Differentiable-Path Integrals in Quantum Mechanics
• Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario
• Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
• Non-unitary evolutions of noncommutative worlds with symmetry
• Linear-Quadratic GUP and Thermodynamic Dimensional Reduction
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
• Non-Local Deformation of a Supersymmetric Field Theory
• Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off
• Rényi and von Neumann entropies of thermal state in Generalized Uncertainty Principle-corrected harmonic oscillator
• Notes on several phenomenological laws of quantum gravity
• On Dirac theory in the space with deformed Heisenberg algebra. Exact solutions
• Radial Oscillations and Dynamical Instability Analysis for Linear-Quadratic GUP-modified White Dwarfs
• Thermostatistics with an Invariant Infrared Cutoff
• On the Quantization of Length in Noncommutative Spaces
• A New Approach to Generalised Uncertainty Relations
• The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum
• Momentum gauge fields from curved momentum space through Kaluza-Klein reduction
• Minimal length estimation on the basis of studies of the Sun-Earth-Moon system in deformed space
• Some consequences of GUP induced ultraviolet wavevector cutoff in one-dimensional Quantum Mechanics
• Two- and three-body calculations within the dominantly orbital state method
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• The generalized uncertainty principle in the presence of extra dimensions
• Solutions of the Bogoliubov-de Gennes equation with position dependent Fermi--velocity and gap profiles
• Birth of the GUP and its effect on the entropy of the Universe in Lie-$N$-algebra
• Generalized uncertainty principle and neutrino phenomenology
• Generalized Uncertainty Principle and Quantum Gravity Phenomenology
• On Some Quantum Correction to the Coulomb Potential in Generalized Uncertainty Principle Approach
• Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
• Nonlinear Schrödinger equation from generalized exact uncertainty principle
• Impact of trans-Planckian quantum noise on the Primordial Gravitational Wave spectrum
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas
• Supersymmetry, quark confinement and the harmonic oscillator
• The Ultraviolet Structure of Quantum Field Theories. Part 1: Quantum Mechanics
• Remarks on generalized uncertainty principle induced from constraint system
• Modified metrics of acoustic black holes: A review
• Comment on "Quantum mechanics of smeared particles"
• Spinning Toroidal Brane Cosmology; A Classical and Quantum Survey
• Effect of minimal length uncertainty on neutrino oscillation
• Generalized Uncertainty Relations,Fundamental Length and Density Matrix
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• On the algebraic approach to GUP in anisotropic space
• Entropy Bound with Generalized Uncertainty Principle in General Dimensions
• Minimum Length - Maximum Velocity
• A fluctuating energy-momentum may produce an unstable world
• Fate of Mixmaster Chaos in a Deformed Algebra framework
• Generalized Uncertainty Principle, Modified Dispersion Relation and Barrier penetration by a Dirac particle
• Bouncing scalar field cosmology in the polymeric minisuperspace picture
• Kinetic energy properties and weak equivalence principle in a space with GUP
• Quantum Thermodynamic Uncertainties in Nonequilibrium Systems from Robertson-Schrödinger Relations
• On the physics of the $s{o}_q(4)$ hydrogen atom
• Quantum mechanics on non commutative spaces and squeezed states: a functional approach
• Casimir effect in polymer scalar field theory
• The Fuzzy Sphere: From The Uncertainty Relation To The Stereographic Projection
• Signature Change by GUP
• Uncertainty principle for axial power content of highly focused fields
• Free Motion of a Dirac Particle with a Minimum Uncertainty in Position
• Rainbow Spacetime from a Nonlocal Gravitational Uncertainty Principle
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• Non-commutative coordinates from quantum gravity
• Spinors on a curved noncommutative space: coupling to torsion and the Gross-Neveu model
• Entropic uncertainty relation based on generalized uncertainty principle
• Towards new relativistic doubly $\kappa$-deformed D=4 quantum phase spaces
• Szekeres Universes with GUP corrections
• Frustration of resonant preheating by exotic kinetic terms
• Generalized Uncertainty Principle from the Regularized Self-Energy
• Testing quantum gravity with dilute dipolar Bose gases
• Relativistic Generalized Uncertainty Principle and Its Implications
• Scalar field inflation driven by a modification of the Heisenberg algebra
• Do Gedankenexperiments compel quantization of gravity?
• Playing with Casimir in the vacuum sandbox
• Fundamental Limit on Angular Measurements and Rotations from Quantum Mechanics and General Relativity
• Hawking Temperature in Taub-NUT (A)dS spaces via the Generalized Uncertainty Principle
• Entropy of Vaidya Black Hole on Apparent Horizon with Minimal length Revisited
• Friedmann equations from GUP-modified equipartition law
• Derivation of the deformed Heisenberg algebra from discrete spacetime
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• A consistent approach to the path integral formalism of quantum mechanics based on the maximum length uncertainty
• Generalized uncertainty principle and burning stars
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• f(R) in Holographic and Agegraphic Dark Energy Models and the Generalized Uncertainty Principle
• Particle on a torus knot: a Hamiltonian analysis
• Discriminating between different modified dispersion relations from gamma-ray observations
• New Deformed Heisenberg Algebra from the $\mu$-Deformed Model of Dark Matter
• Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential
• Possible polarisation and spin dependent aspects of quantum gravity
• Dirac oscillator and minimal length
• Extra-dimensional generalization of minimum-length deformed QM/QFT and some of its phenomenological consequences
• Quantum-gravitational corrections to the hydrogen atom and harmonic oscillator
• Quantized space-time and its influences on some physical problems
• Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. I
• Polymeric quantum mechanics and the zeros of the Riemann zeta function
• Effects of the generalized uncertainty principle on the thermal properties of Kemmer oscillator
• Transition Rate and the Photoelectric Effect in the Presence of a Minimal Length
• Tidal effects based on GUP-induced effective metric
• Observational Viability of the Intermediate DBI Inflation in the Presence of a Minimal Length
• Horizon Quantum Mechanics of collapsing shells
• Effects of a Generalized Uncertainty Principle on the MIT Bag Model Equation of State
• Noncommutative dispersion relation and mass-radius relation of white dwarfs
• Einstein static universe, GUP, and natural IR and UV cut-offs
• Minimal Quantities and Measurability. Gravity in Measurable Format and Natural Transition to High Energies
• Corrections to the thermodynamic quantities of Bose system by the generalized uncertainty principle
• On completeness of coherent states in noncommutative spaces with generalised uncertainty principle
• Problems with Modified Commutators
• Remark on Remnant and Residue Entropy with GUP
• A Note on Coherent States with Quantum Gravity Effects
• Prospect of Chandrasekhar's limit against modified dispersion relation
• Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale
• Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
• Black Hole Production in the Presence of a Maximal Momentum in Horizon Wave Function Formalism
• Dark Energy as a Relic of the Vacuum-Energy Cancellation?
• Covariant Space Time Line Elements in the Friedmann Lemaitre Robertson Walker Geometry
• Quantum corrections in general relativity explored through a GUP-inspired maximal acceleration analysis
• Kinematics and uncertainty relations of a quantum test particle in a curved space-time
• Three Short Distance Structures from Quantum Algebras
• Theory of a many-boson system with deformed Heisenberg algebra
• Holographic Cosmology from BIonic Solutions
• Quantum tunneling driven by quintessence and the role of GUP
• Primordial fluctuations from deformed quantum algebras
• Hidden Non-Locality and Self-Superrenormalization of Quantum Gravity
• London superconductivity approach in a time-dependent background
• Harmonic oscillators in a Snyder geometry
• New Non-commutative and Higher Derivatives Quantum Mechanics from GUPs
• Snyder Geometry and Quantum Field Theory
• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• The ideal gas of Bosons and Fermions in Harmonic Traps in the framework of Extended Uncertainty Principle
• Generalized uncertainty principles and black hole temperatures in rainbow gravity
• Generalized Uncertainty Principle: from the harmonic oscillator to a QFT toy model
• Many-body probes for quantum features of spacetime
• Towards quantum Mechanics on the curved cotangent bundle
• $\lambda {\varphi }^4$ Kink and sine-Gordon Soliton in the GUP Framework
• Lorentz-covariant sampling theory for fields
• Deformations of the Canonical Commutation Relations and Metric Structures
• Fractal properties of particle paths due to generalised uncertainty relations
• Effect of the Minimal Length on Bose-Einstein Condensation in the Relativistic Ideal Bose Gas
• Quantum gravity corrections to the tunneling radiation of scalar particles
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• Locally detecting UV cutoffs on a sphere with particle detectors
• Effective information bounds in modified quantum mechanics
• Uncertainty principle and gravity
• Quantum lattice models that preserve continuous translation symmetry
• Lorentz invariant nonzero minimal uncertainty in position and inhomogeneity of space at the Planck scale
• Effect of Quantum Gravity on Specific Heat of Solid
• Quantum Black Hole as a Harmonic Oscillator from the Perspective of the Minimum Uncertainty Approach
• Dynamical Features of Maggiore's Generalised Commutation Relations
• The shadows of quantum gravity on Bell's inequality
• Deformations of anti-de Sitter black holes
• Quantum harmonic oscillator in a time dependent noncommutative background
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
• Short Distance Modification of a Gravitational System and its Optical Analog
• Quantum Gravity Effects on the Tachyon Inflation from Thermodynamic Perspective
• The tunneling radiation of Kehagias-Sfetsos black hole under generalized uncertainty principle
• Revealing some cosmological aspects of Kaniadakis entropy
• (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space
• On the origin of generalized uncertainty principle from compactified M5-brane
• Particle in a cavity in one-dimensional bandlimited quantum mechanics
• Lorentzian Vacuum Transitions with a Generalized Uncertainty Principle
• Unitary equivalence in Generalized Uncertainty Principle theories
• Generalized Heisenberg relation and Quantum Harmonic Oscillators
• Observational constraints on the modified cosmology inspired by string T-duality
• The holographic principle comes from finiteness of the universe's geometry
• Studying the effects of minimal length in large extra dimensional models in the jet + missing energy channels at hadron colliders
• Deformation of Nanowires and Nanotubes
• Minimal Length Effects on Motion of a Particle in Rindler Space
• Minimal Length Effects on Schwinger Mechanism
• Bound states in the continuum are universal under the effect of minimal length
• Combining the Generalized and Extended Uncertainty Principles
• Casimir effect in deformed field
• Statistical mechanics of ideal gas in the presence of minimal length and maximal momentum
• Quantum-Gravity phenomenology and high energy particle propagation
• How Spacetime Foam modifies the brick wall
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons
• The Black Hole Quantum Entropy and Its Minimal Value
• On the Meaning of Localization in Non-Local Quantum Field Theory
• Hartmann potential with a minimal length and generalized recurrence relations for matrix elements
• Non-local imprints of gravity on quantum theory
• Minimal Proper-time in Quantum Field Theory
• Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Matter Geometry Coupling and Casimir Wormhole Geometry
• Hawking radiation of rotating BTZ Black hole based on modified dispersion relation and Rarita-Schwinger equation
• Remarks on the quasi-position representation in models of generalized uncertainty principle
• Natural Cutoffs effect on Charged Rotating TeV-Scale Black Hole Thermodynamics
• GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry
• Charged Massive Particle's Tunneling From Charged Non-Rotating Micro Black Hole
• Thermodynamic analysis of a compact object in Rastall-Rainbow gravity
• Quantum gravity, the cosmological constant, and parity transformation
• Nonsingular universe from generalized thermostatistics
• Scale limited fields and the Casimir effect
• Non-Heisenbergian quantum mechanics
• Time Evolution in Quantum Mechanics with a Minimal Time Scale
• A novel mechanism for probing the Planck scale with wavepackets following general distributions
• Energy-time uncertainty relation from entropy measures
• Strong Equivalence Principle in Polymer Quantum Mechanics and deformed Heisenberg Algebra
• Higher order GUP black hole based on COW experiment and Einstein-Bohr's photon box
• Regularization of ${\delta }^{\prime }$ potential in general case of deformed space with minimal length
• Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
• Self-adjoint extensions for a $p^4$-corrected Hamiltonian of a particle on a finite interval
• Scaling-Based Quantization of Spacetime Microstructure
• Uncertainty Principles and Non-local Black Holes
• Bouncing Bianchi Models with Deformed Commutation Relations
• Exact continuity equation in a space with minimal length
• Spacetime discreteness via consistent microscopic measurement
• Spectral and thermodynamic properties of supersymmetric quantum systems with self-adjoint deformed momentum
• Quantum Gravity Effect on The Time History of The Universe
• Minimal Proper Time and Deterministic Microstates: Emergent Quantum Fields and Relativistic Spacetime
• Product Entropic Uncertainty Principle
• Minimal length implications on the Hartree-Fock theory
• Low Energy Consequences of Loop Quantum Gravity
• Self-Completeness in Alternative Theories of Gravity
• GUP-corrected $\Lambda$CDM cosmology
• Compactification, T-Duality and Quantum Erasers
• Refining Bounds for Snyder and GUP Models through Seismic Wave Analysis
• Horizon Quantum Mechanics of Generalized Uncertainty Principle Black Holes
• Thermodynamic properties of ideal Bose gas trapped in different external power-law potentials under generalized uncertainty principle*
• The Extended Uncertainty Principle from a Projector-Valued Measurement Perspective
• From MOND entropy to extended uncertainty principles: A unified framework
• Mixmaster chaos in a quantum scenario:a Deformed Algebra approach
• Revisiting the algebraic structure of the generalized uncertainty principle
• Aspects of noncommutativity in field theory, strings and membranes
• Two Approaches to Measurability Concept and Quantum Theory
• Bound states in the continuum of fractional Schrödinger equation in the Earth's gravitational field and their effects in the presence of a minimal length: applications to distinguish ultralight particles
• GUP/BEB correspondence
• The instability of a black hole with $f(R)$ global monopole under extended uncertainty principle
• A note on scattering in deformed space with minimal length
• Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle
• Equations for fields with additional fundamental physical constants
• Dimensional Phenomenology in Polymeric Quantization Framework
• Aharonov-Bohm-Like Scattering in the Generalized Uncertainty Principle-corrected Quantum Mechanics
• The Quantum and Statistical Theory of Early Universe and Its Possible Applications to Cosmology
• Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits, Part I. An Ultraviolet Case
• Classical Polymerization of the Bianchi I Model with Deformed Poisson Structure
• Anyons in quantum mechanics with a minimal length
• Probing Planck scale effects on absolute mass limit in neutrino flavor evolution
• Homogeneous Field and WKB Approximation In Deformed Quantum Mechanics with Minimal Length
• Traversable Wormholes in Distorted Gravity
• Superluminal modes in a quantum field simulator for cosmology from analog trans-Planckian physics
• Quantum uncertainty and the spectra of symmetric operators
• Proton Decay and the Quantum Structure of Spacetime
• Scalar particles tunneling radiation in the Demianski-Newman spacetime with influences of quantum gravity
• Potential Algebra Approach to Quantum Mechanics with Generalized Uncertainty Principle
• Sub-bosonic (deformed) ladder operators
• Minimal-Length Corrections to Hyperon Polarization in Rotating Quark Gluon Plasma
• An algebraic approach to gravitational quantum mechanics
• Deformed Heisenberg Algebra with a minimal length: Application to some molecular potentials
• Learning to Utilize Correlated Auxiliary Noise: A Possible Quantum Advantage
• Noncommutative Simple Harmonic Oscillator in Quantum Gravitational Well
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• Chiral Vortical Transport under Minimal-Length Deformations in Rotating Relativistic Matter
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP
• Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
• Developments on the Jordan-Schwinger construction and contraction for the $s{u}_q(2)$
• One-dimension quantum systems in the framework of the most general deformation GUP form
• Fundamental Symmetries of the extended Spacetime
• de Vaucouleurs-Ikeuchi Diagram and Commutation Relations among Phase Space Coordinates
• Energy corrections due to the Non-commutative Phase-Space of the Charged Harmonic Oscillator in a constant magnetic field in 3D
• Classifying deviation from standard quantum behavior using Kullback Leibler divergence
• Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity
• Operator Ordering in the Relativistic Quantization: Specific Heat in the Rindler Frame
• Relativistic generalised uncertainty and the corrected vacuum energy
• Quantum gravity phenomenology and the blackbody radiation
• WKB Approximation for a Deformed Schrodinger-like Equation and its Applications to Quasinormal Modes of Black Holes and Quantum Cosmology
• A rotating GUP black hole: metric, shadow, and bounds on quantum parameters
• Spontaneous Lorentz symmetry violation from infrared gravity
• Refractive index profiles for a $\mathcal{P}\mathcal{T}$-symmetric optical structure
• Hilbert space representation for quasi-Hermitian position-deformed Heisenberg algebra and Path integral formulation
• Uncertainty Principles and Maximum Entropic Force
• Lorentz and gauge invariance of quantum space