Minimal Length Scale Scenarios for Quantum Gravity

Abstract

We review the question of whether the fundamental laws of nature limit our ability to probe arbitrarily short distances. First, we examine what insights can be gained from thought experiments for probes of shortest distances, and summarize what can be learned from different approaches to a theory of quantum gravity. Then we discuss some models that have been developed to implement a minimal length scale in quantum mechanics and quantum field theory. These models have entered the literature as the generalized uncertainty principle or the modified dispersion relation, and have allowed the study of the effects of a minimal length scale in quantum mechanics, quantum electrodynamics, thermodynamics, black-hole physics and cosmology. Finally, we touch upon the question of ways to circumvent the manifestation of a minimal length scale in short-distance physics.

Published version available at http://www.livingreviews.org/lrr-2013-2

References in corpus (234)

• Noncommutative Field Theory
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Background Independent Quantum Gravity: A Status Report
• Data Tables for Lorentz and CPT Violation
• Discreteness of area and volume in quantum gravity
• The quantum structure of spacetime at the Planck scale and quantum fields
• Quantum gravity and minimum length
• Lorentz invariance with an invariant energy scale
• Loop Quantum Cosmology: A Status Report
• A Generalized Uncertainty Principle in Quantum Gravity
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• The Generalized Uncertainty Principle and Black Hole Remnants
• Testable scenario for Relativity with minimum-length
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Absence of Singularity in Loop Quantum Cosmology
• The Trans-Planckian Problem of Inflationary Cosmology
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Generalized Lorentz invariance with an invariant energy scale
• Universality of Quantum Gravity Corrections
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Discreteness of Space from the Generalized Uncertainty Principle
• Probing Planck-scale physics with quantum optics
• The algebraic structure of the generalized uncertainty principle
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• Classical Black Hole Production in High-Energy Collisions
• On Gravity and the Uncertainty Principle
• Nonpointlike Particles in Harmonic Oscillators
• D-branes and Short Distances in String Theory
• Noncommutative Solitons
• Classical and Quantum Mechanics of Free \k Relativistic Systems
• A proposal for testing Quantum Gravity in the lab
• Minimal Length Uncertainty Relation and Ultraviolet Regularisation
• Minimal Length Uncertainty Relation and Hydrogen Atom
• Doubly Special Relativity
• Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
• The principle of relative locality
• 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
• Loop quantum cosmology of k=1 FRW models
• When conceptual worlds collide: The GUP and the BH entropy
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Signatures in the Planck Regime
• Doubly-Special Relativity: First Results and Key Open Problems
• Phenomenological Implications of the Generalized Uncertainty Principle
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• String Theory and the Principle of Black Hole Complementarity
• Asymptotically Safe Lorentzian Gravity
• Introduction to Doubly Special Relativity
• Discrete approaches to quantum gravity in four dimensions
• Deformed Boost Transformations That Saturate at the Planck Scale
• Generalized Uncertainty Principle, Extra-dimensions and Holography
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Mode Generating Mechanism in Inflation with Cutoff
• Observer-independent quanta of mass and length
• Black Hole Complementarity vs. Locality
• Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
• Quantum Hair on Black Holes
• Black Hole Remnants and Dark Matter
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
• Strings, Black Holes and Lorentz Contraction
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• String Theory and the Space-Time Uncertainty Principle
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
• Review of the Phenomenology of Noncommutative Geometry
• Duality and zero-point length of spacetime
• Doubly Special Relativity and de Sitter space
• Black hole thermodynamics with generalized uncertainty principle
• Minimum Length from Quantum Mechanics and Classical General Relativity
• Closed formula for the matrix elements of the volume operator in canonical quantum gravity
• 2+1 gravity and Doubly Special Relativity
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Loop Quantum Gravity: An Inside View
• How classical are TeV-scale black holes?
• Spacetime foam as a quantum thermal bath
• Black holes and asymptotically safe gravity
• Black hole thermodynamics with generalized uncertainty principle
• 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
• New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Locality in quantum gravity and string theory
• Physics of Trans-Planckian Gravity
• Gauge Theories under Incorporation of a Generalized Uncertainty Principle
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
• Conservation Laws in Doubly Special Relativity
• Regularization of the Singular Inverse Square Potential in Quantum Mechanics with a Minimal length
• Gravitational effects in ultrahigh-energy string scattering
• Fock space, quantum fields and kappa-Poincaré symmetries
• The Casimir Effect in the Presence of a Minimal Length
• Physics on Smallest Scales - An Introduction to Minimal Length Phenomenology
• Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
• Running Coupling with Minimal Length
• A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
• Statistical physics in deformed spaces with minimal length
• Discreteness without symmetry breaking: a theorem
• Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry
• Planck scale effects on some low energy quantum phenomena
• Towards an S-matrix Description of Gravitational Collapse
• The Big-Bang Singularity in the framework of 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
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Casimir Effect in the Presence of Minimal Lengths
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• Dynamical coherent states and physical solutions of quantum cosmological bounces
• On the running of the gravitational constant
• Harmonic oscillator with minimal length uncertainty relations and ladder operators
• The Casimir Effect in Minimal Length Theories based on a Generalized Uncertainity Principle
• Generalized Uncertainty Principle, Modified Dispersion Relations and Early Universe Thermodynamics
• Entropy and temperature of black holes in a gravity's rainbow
• Emergent Models for Gravity: an Overview of Microscopic Models
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Quantum Time Uncertainty in a Gravity's Rainbow Formalism
• Zero-point length from string fluctuations
• Precursors, black holes, and a locality bound
• Generalized uncertainty principles and localization in discrete space
• A Generalized Shannon Sampling Theorem, Fields at the Planck Scale as Bandlimited Signals
• Modifications to Lorentz invariant dispersion in relatively boosted frames
• Quantum Production of Black Holes
• Modified dispersion relations in extra dimensions
• A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
• Corrections to the ns-levels of hydrogen atom in deformed space with minimal length
• The information paradox and the locality bound
• Running of the Spectral Index and Violation of the Consistency Relation Between Tensor and Scalar Spectra from trans-Planckian Physics
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
• Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
• Multi-Particle States in Deformed Special Relativity
• Hydrogen atom in momentum space with a minimal length
• Thermal properties of spacetime foam
• Suppressed Black Hole Production from Minimal Length
• Spacetime could be simultaneously continuous and discrete in the same way that information can
• The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAd{S}_5$ Black Holes
• A Covariant Information-Density Cutoff in Curved Space-Time
• High energy scattering in gravity and supergravity
• On Noncommutative Geometric Regularisation
• Neutrino oscillations as a novel probe for a minimal length
• Prescriptions in Loop Quantum Cosmology: A comparative analysis
• The Free Particle in Deformed Special Relativity
• Relative locality and the soccer ball problem
• Limitation to Quantum Measurements of Spacetime Distances
• Velocity of particles in Doubly Special Relativity
• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• Can we measure structures to a precision better than the Planck length?
• 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
• Minimal length, maximal momentum and the entropic force law
• Minimum Length from First Principles
• Asymptotic Safety, Emergence and Minimal Length
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
• On the fate of Lorentz symmetry in relative-locality momentum spaces
• The hypothesis of path integral duality II: corrections to quantum field theoretic results
• Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light
• A glimpse at the flat-spacetime limit of quantum gravity using the Bekenstein argument in reverse
• On the Tensor/Scalar Ratio in Inflation with UV Cutoff
• Lorentz invariant field theory on kappa-Minkowski space
• Anatomy of a deformed symmetry: field quantization on curved momentum space
• 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
• Photon Gas Thermodynamics in Doubly Special Relativity
• Kinematical solution of the UHE-cosmic-ray puzzle without a preferred class of inertial observers
• Generalized Uncertainty Principle and Quantum Electrodynamics
• Generalized Uncertainty Principle and Self-dual Black Holes
• Classical paradoxes of locality and their possible quantum resolutions in deformed special relativity
• Physics of Deformed Special Relativity
• A Note on Quantum Field Theories with a Minimal Length Scale
• Electroweak Theory with a Minimal Length
• Fixed Points of Quantum Gravity and the Renormalisation Group
• Constraining the string scale: from Planck to Weak and back again
• Could quantum gravity be tested with high intensity Lasers?
• Doubly special quantum and statistical mechanics from quantum $\kappa$-Poincaré algebra
• Physically motivated uncertainty relations at the Planck length for an emergent non commutative spacetime
• About Locality and the Relativity Principle Beyond Special Relativity
• Probing Loop Quantum Gravity with Evaporating Black Holes
• Length Uncertainty in a Gravity's Rainbow Formalism
• Distance Measurement and $\kappa$-Deformed Propagation of Light and Heavy Probes
• Casimir-Polder intermolecular forces in minimal length theories
• Palatini Actions and Quantum Gravity Phenomenology
• Modified Dispersion Relations from the Renormalization Group of Gravity
• Doubly special relativity and translation invariance
• Effects of GUP in Quantum Cosmological Perfect Fluid Models
• Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
• Some consequences of a noncommutative space-time structure
• The Generalized Uncertainty Principle and the Friedmann equations
• Deformed Special Relativity in Position Space
• Thermodynamics of Ideal Gas in Doubly Special Relativity
• Effective particle kinematics from Quantum Gravity
• Minimal Length and the Quantum Bouncer: A Nonperturbative Study
• Relativistic Thermodynamics with an Invariant Energy Scale
• Cosmology with minimal length uncertainty relations
• Generalized uncertainty principle and correction value to the black hole entropy
• Phase spaces of Doubly Special Relativity
• Introduction to String Theory
• Hypothesis of path integral duality: Applications to QED
• Effects of deformed phase space on scalar field cosmology
• Enhanced CMBR non-Gaussianities from Lorentz violation
• Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy
• Have we already detected astrophysical symptoms of space-time noncommutativity ?
• Asymptotic Safety, Asymptotic Darkness, and the hoop conjecture in the extreme UV
• String theory T-duality and the zero point length of spacetime
• Maximally Localized States in Quantum Mechanics with a Modified Commutation Relation to All Orders
• Kinematics of a relativistic particle with de Sitter momentum space
• The Generalized Uncertainty Principle in f(R) Gravity for a Charged Black Hole
• On limitations of the extent of inertial frames in non-commutative relativistic spacetimes
• Path integral duality modified propagators in spacetimes with constant curvature
• Deformed Special Relativity from Asymptotically Safe Gravity
• Implications of minimum-length deformed quantum mechanics for QFT/QG
• Generalized Quantization Principle in Canonical Quantum Gravity and Application to Quantum Cosmology
• Zero-point length, extra-dimensions and string T-duality
• Formulation of the Spinor Field in the Presence of a Minimal Length Based on the Quesne-Tkachuk Algebra
• Path integral duality and Planck scale corrections to the primordial spectrum in exponential inflation
• Reply to arXiv:1006.2126 by Giovanni Amelino-Camelia et al
• Quantum Tunneling and Unitarity Features of an S-matrix for Gravitational Collapse
• Comments on Nonlocality in Deformed Special Relativity, in reply to arXiv:1004.0664 by Lee Smolin and arXiv:1004.0575 by Jacob et al
• Asymptotic approach to Special Relativity compatible with a relativistic principle
• Planck-scale Lorentz-symmetry test theories
• Observers and Measurements in Noncommutative Spacetimes
• Top quark phenomenology of the ADD model and the Minimal Length Scenario
• Modified Dispersion Relations: from Black-Hole Entropy to the Cosmological Constant
• Conformal fluctuations do not establish a minimum length
• Quantum Noncanonical Field Theory: Symmetries and Interaction
• Non-Commutativity of Effective Space-Time Coordinates and the Minimal Length
• Minimum Length - Maximum Velocity
• Uncertainty of Velocity in kappa-Minkowski Spacetime
• Time-Energy Uncertainty in Neutrino Resonance: Quest for the Limit of Validity of Quantum Mechanics

Cited by in corpus (397)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black Hole Remnants and the Information Loss Paradox
• Quantum Superposition of Massive Objects and the Quantization of Gravity
• Generalized Uncertainty Principle: Approaches and Applications
• Review on Generalized Uncertainty Principle
• Probing deformed commutators with macroscopic harmonic oscillators
• 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
• GUP Modified Hawking Radiation in Bumblebee Gravity
• Dimension and Dimensional Reduction in Quantum Gravity
• Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
• Quantum Tunneling of Massive Spin-1 Particles From Non-stationary Metrics
• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• Testing of Generalized Uncertainty Principle With Macroscopic Mechanical Oscillators and Pendulums
• Effects of quantum gravity on black holes
• 30 years in: Quo vadis generalized uncertainty principle?
• Self-Completeness and the Generalized Uncertainty Principle
• Minimal Length and Small Scale Structure of Spacetime
• Testing quantum gravity by nanodiamond interferometry with nitrogen-vacancy centers
• Tests of Quantum Gravity induced non-locality via opto-mechanical quantum oscillators
• Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
• Generalised uncertainty relations from superpositions of geometries
• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Lorentz invariance violations in the interplay of quantum gravity with matter
• Entangled Particles Tunneling From a Schwarzschild Black Hole immersed in an Electromagnetic Universe with GUP
• Cosmological Horizons, Uncertainty Principle and Maximum Length Quantum Mechanics
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
• Experiments testing macroscopic quantum superpositions must be slow
• Nonlocal Scalar Quantum Field Theory from Causal Sets
• Entropy in the interior of a black hole and thermodynamics
• Quasinormal Modes and GUP-Corrected Hawking Radiation of BTZ Black Holes within Modified Gravity Frameworks
• Photon bunching in a rotating reference frame
• Amplified transduction of Planck-scale effects using quantum optics
• An Experiment for Observing Quantum Gravity Phenomena using Twin Table-Top 3D Interferometers
• Mass bounds for compact spherically symmetric objects in generalized gravity theories
• Generalized Uncertainty Principle: Implications for Black Hole Complementarity
• The Lightest of Black Holes
• Zero Mass Remnant as an Asymptotic State of Hawking Evaporation
• Time Crystals from Minimum Time Uncertainty
• 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
• Black hole shadows in fourth-order conformal Weyl gravity
• The Path Integral Quantization corresponding to the Deformed Heisenberg Algebra
• Generalized uncertainty principle or curved momentum space?
• Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities
• Probing modified Hawking evaporation with gravitational waves from the primordial black hole dominated universe
• Small scale structure of spacetime: van Vleck determinant and equi-geodesic surfaces
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• High temperature dimensional reduction in Snyder space
• Spacetime foam: a review
• Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
• Towards a Cosmology with Minimal Length and Maximal Energy
• Bounds on GUP parameters from GW150914 and GW190521
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Bandlimited Entanglement Harvesting
• Generalized Uncertainty Principle Removes The Chandrasekhar Limit
• Generalised uncertainty relations for angular momentum and spin in quantum geometry
• Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
• $\kappa$-Deformed quantum and classical mechanics for a system with position-dependent effective mass
• Spacetime Curvature in terms of Scalar Field Propagators
• Particles in Loop Quantum Gravity formalism: a thermodynamical description
• The Compton-Schwarzschild correspondence from extended de Broglie relations
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Modified commutators are not sufficient to determine a quantum gravity minimal length scale
• Testing velocity-dependent CPT-violating gravitational forces with radio pulsars
• Post-Newtonian gravitational effects in quantum interferometry
• Near horizon thermodynamics of hairy black holes from gravitational decoupling
• The Soccer-Ball Problem
• Quantum Wells and the Generalized Uncertainty Principle
• Gravitationally induced uncertainty relations in curved backgrounds
• Observables and Dispersion Relations in k-Minkowski Spacetime
• Maximal momentum GUP leads to quadratic gravity
• Lorentz Invariance Violation and Generalized Uncertainty Principle
• Gravitational wave hints black hole remnants as dark matter
• Ground State of the Hydrogen Atom via Dirac Equation in a Minimal Length Scenario
• Generalized Uncertainty Principle Corrections to the Simple Harmonic Oscillator in Phase Space
• Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs
• Influence of a Minimal Length on the Creation of Scalar Particles
• Non-commutative Geometry from Perturbative Quantum Gravity
• Quantum gravity and the zero point length
• Emergent universe in theories with natural UV cutoffs
• The Minimal Length and the Quantum Partition Functions
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Minimum length effects in black hole physics
• Influence of GUP corrected Casimir energy on zero tidal force wormholes in modified teleparallel gravity with matter coupling
• Gravitational Effects in Quantum Mechanics
• Exact Ultra Cold Neutrons' Energy Spectrum in Gravitational Quantum Mechanics
• Nonmetricity theories and aspects of gauge symmetry
• Theory and Phenomenology of Spacetime Defects
• The $\kappa$-Newtonian and $\kappa$-Carrollian algebras and their noncommutative spacetimes
• Cosmology at the top of the ${\alpha }^{\prime }$ tower
• 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
• The minimal length: a cut-off in disguise?
• Polymeric Quantization and Black Hole Thermodynamics
• Some Astrophysical Aspects of a Schwarzschild Geometry Equipped with a Minimal Measurable Length
• Modification of Schrödinger-Newton equation due to braneworld models with minimal length
• Quantum gravity, information theory and the CMB
• Locality and entanglement in bandlimited quantum field theory
• Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology
• Quantum phase transitions of the Dirac oscillator in a minimal length scenario
• Beyond Special Relativity at second order
• Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*
• Testing Generalised Uncertainty Principles through Quantum Noise
• Lagrangian Formulation of a Magnetostatic Field in the Presence of a Minimal Length Scale Based on the Kempf Algebra
• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Minimal length effect on the broadening of free wave-packets and its physical implications
• Raychaudhuri equation with zero point length
• Discreteness of Space from GUP in Strong Gravitational Fields
• UV Completion on the Worldline
• Emergence of time
• Minimum length (scale) in Quantum Field Theory, Generalized Uncertainty Principle and the non-renormalisability of gravity
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Universality of minimal length
• The minimum mass of a charged spherically symmetric object in $D$ dimensions, its implications for fundamental particles, and holography
• Signal propagation on $\kappa$-Minkowski spacetime and non-local two-point functions
• Horizon of quantum black holes in various dimensions
• Probing deformed quantum commutators
• Quantum Gravity Phenomenology in the Infrared
• Natural Covariant Planck Scale Cutoffs and the Cosmic Microwave Background Spectrum
• Constraining the loop quantum gravity parameter space from phenomenology
• Phase space analysis of the bouncing universe with stringy effects
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• On deformations of classical mechanics due to Planck-scale physics
• Optimal uncertainty relations in a modified Heisenberg algebra
• Quantum-spacetime effects on nonrelativistic Schrödinger evolution
• Cosmology with Negative Absolute Temperatures
• Gravitational effects on the Heisenberg Uncertainty Principle: a geometric approach
• Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments
• Schwinger Pair Production and the Extended Uncertainty Principle: Can Heuristic Derivations Be Trusted?
• Relativistic Extended Uncertainty Principle from Spacetime Curvature
• Indirect Probe of Quantum Gravity using Molecular Wave-packets
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
• Does Compton/Schwarzschild duality in higher dimensions exclude TeV quantum gravity?
• Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
• Modified commutation relationships from the Berry-Keating program
• On entropic uncertainty relations in the presence of a minimal length
• Probing quantum gravity effects with quantum mechanical oscillators
• Quantum Gravity on a Quantum Computer?
• Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass
• Black hole interior quantization: a minimal uncertainty approach
• Classical polymerization of the Schwarzschild metric
• Semiclassical and quantum behavior of the Mixmaster model in the polymer approach for the isotropic Misner variable
• Pseudoharmonic oscillator in quantum mechanics with a minimal length
• Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
• How does the Planck scale affect qubits?
• Is there a connection between "dark" and "light" physics?
• Black hole complementarity with the generalized uncertainty principle in gravity's rainbow
• Simple regular black hole with logarithmic entropy correction
• UV And IR Effects On Hawking Radiation
• Newtonian Cosmology with a Quantum Bounce
• Spacetime from locality of interactions in deformations of special relativity: the example of $\kappa$-Poincaré Hopf algebra
• The minimal length and the Shannon entropic uncertainty relation
• Theories with maximal acceleration
• Single Extra Dimension from $\kappa$-Poincaré and Gauge Invariance
• The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox
• Dispersion relations in finite-boost DSR
• Dispersion Relations in $\kappa$-Noncommutative Cosmology
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Length-preserving biconnection gravity and its cosmological implications
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
• Quantum gravitational signatures in next-generation gravitational wave detectors
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Quantumness of gravitational cat states in correlated dephasing channels
• Reinterpreting deformed Heisenberg algebras
• Some Implications of Two Forms of the Generalized Uncertainty Principle
• The Harmonic Oscillator in the Classical Limit of a Minimal-Length Scenario
• Non-commutative Fourier transform for the Lorentz group via the Duflo map
• Corrections to Scattering Processes due to Minimal Measurable Length
• 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
• Relativistic quantum clocks
• Statistical Measures of Planck Scale Signal Correlations in Interferometers
• Intrinsic measurement errors for the speed of light in vacuum
• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
• Which quantum theory must be reconciled with gravity? (And what does it mean for black holes?)
• Improved constraints on minimum length models with a macroscopic low loss phonon cavity
• Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in anti-de Sitter Black Holes via Charged Particle Absorption
• The quantum clock: a critical discussion on space-time
• Generalized uncertainty principle and thermostatistics: a semiclassical approach
• Noncommutative gauge and gravity theories and geometric Seiberg-Witten map
• Theories with limited extrinsic curvature and a nonsingular anisotropic universe
• n-dimensional non-commutative GUP quantization and application to the Bianchi I model
• Minimal Length, Measurability and Gravity
• Quantum clock: A critical discussion on spacetime
• SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics
• Steps towards Lorentzian quantum gravity with causal sets
• Relativistic deformed kinematics from locality conditions in a generalized spacetime
• Planck length challenges non-relativistic quantum mechanics of large masses
• Bouncing universe with modified dispersion relation
• Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy
• Constraining GUP Models Using Limits on SME Coefficients
• The solitary solutions of nonlinear Klein-Gordon field with minimal length
• Extending the QMM Framework to the Strong and Weak Interactions
• A solution to the soccer ball problem for generalised uncertainty relations
• Topological Defects in a Deformed Gauge Theory
• Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?
• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• The quantum theory of time, the block universe and human experience
• Astrophysical observables for regular black holes with sub-Planckian curvature
• A new mass scale, implications on black hole evaporation and holography
• All noncommutative spaces of $\kappa$-Poincaré geodesics
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Massive fermions interacting via a harmonic oscillator in the presence of a minimal length uncertainty relation
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Quantum Mechanics, Gravity and Modified Quantization Relations
• The role of an invariant IR cutoff in late time cosmological dynamics
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Path Integral for Non-Paraxial Optics
• Why space could be quantised on a different scale to matter
• Uncertainty principle in quantum mechanics with Newton's gravity
• Quantum information in Hawking radiation
• Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
• Testing Short Distance Anisotropy in Space
• Principle of Equivalence at Planck scales, QG in locally inertial frames and the zero-point-length of spacetime
• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• The dominating mode of two competing massive modes of quadratic gravity
• Space and time transformations with a minimal length
• Large Star/Rose Extra Dimension with Small Leaves/Petals
• Space-time: Commutative or noncommutative ?
• Classical electrodynamics on Snyder space
• Nonclassical effects in geodesic motion
• Dispersive vacuum as a decoherence amplifier of an Unruh-DeWitt detector
• Fundamental length scale and the bending of light in a gravitational field
• Generalized relativistic kinematics in Poincaré-invariant models
• Quantum dense coding with gravitational cat states
• Enhanced spectrum of primordial perturbations, galaxy formation and small scale structure
• Exotic fermionic fields and minimal length
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• Feasibility of Primordial Black Hole Remnants as Dark Matter in View of Hawking Radiation Recoil
• The linearity of quantum mechanics from the perspective of Hamiltonian cellular automata
• Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes
• Non-universal relativistic kinematics
• Ultraviolet dimensional reduction of spacetime with zero-point length
• Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra
• Black Remnants from T-Duality
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• When gravitational decoupling and quantum gravity (re)unite
• Generalized Uncertainty principle and momentum-dependent effective mass Schrodinger equation
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• Quantum gravitational decoherence of a mechanical oscillator from spacetime fluctuations
• Revisiting the minimum length in the Schwinger-Keldysh formalism
• Particle-antiparticle asymmetry in a relativistic deformed kinematics
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
• Minimal-length quantum field theory: a first-principle approach
• Theoretical and Observational Implications of Planck's Constant as a Running Fine Structure Constant
• Non-Relativistic Anti-Snyder Model and Some Applications
• On the use of energy loss mechanisms to constrain Lorentz invariance violations
• Information content and minimum-length metric: A drop of light
• Generalised Uncertainty Relations from Finite-Accuracy Measurements
• Deformed classical-quantum mechanics transition
• The Mass Gap of the Space-time and its Shape
• Differentiable-Path Integrals in Quantum Mechanics
• Momentum gauge fields from curved momentum space through Kaluza-Klein reduction
• Penetration of Arbitrary Double Potential Barriers with Probability Unity: Implications for Testing the Existence of a Minimum Length
• Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
• On Some Quantum Correction to the Coulomb Potential in Generalized Uncertainty Principle Approach
• Discreteness of Space from Anisotropic Spin-Orbit Interaction
• Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
• Wavelet field decomposition and UV `opaqueness'
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• Generalized uncertainty principle in quantum cosmology for the maximally symmetric space
• Quantum probes for universal gravity corrections
• Dynamics and the Emergence of Geometry in an Information Mesh
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• Entropic uncertainty relations for successive measurements in the presence of a minimal length
• Covariant bandlimitation from Generalized Uncertainty Principles
• Generalized Uncertainty Principle, Modified Dispersion Relation and Barrier penetration by a Dirac particle
• Muon accelerators -- Muon lifetime measurements as window to Planck scale physics
• Rainbow Spacetime from a Nonlocal Gravitational Uncertainty Principle
• From spacetime thermodynamics to Weyl transverse gravity
• Locality and entanglement harvesting in covariantly bandlimited scalar fields
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• Bouncing scalar field cosmology in the polymeric minisuperspace picture
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Fate of Mixmaster Chaos in a Deformed Algebra framework
• Zero-point gravitational field equations
• Fundamental Limit on Angular Measurements and Rotations from Quantum Mechanics and General Relativity
• Bounded compactness from G(E)UP
• Szekeres Universes with GUP corrections
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit
• Graviton-Photon Oscillations as a Probe of Quantum Gravity
• Tidal effects based on GUP-induced effective metric
• Squeezing of light from Planck-scale physics
• Extracting electromagnetic signatures of spacetime fluctuations
• Generalized Uncertainty Principle from the Regularized Self-Energy
• Covariant Predictions for Planck-Scale Features in Primordial Power Spectra
• Generalized uncertainty principle and burning stars
• Quantum Gravity Constraints on Fine Structure Constant from GUP in Braneworlds
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• Quantum states for a minimum-length spacetime
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• Observational Viability of the Intermediate DBI Inflation in the Presence of a Minimal Length
• Phase transitions in a ${\Phi }^4$ matrix model on a curved noncommutative space
• New Deformed Heisenberg Algebra from the $\mu$-Deformed Model of Dark Matter
• Cosmic Neutrinos as a Window to Departures from Special Relativity
• Renormalizing Spacetime
• Perturbative effective action for the photon in noncommutative QED${}_2$ and exactness of the Schwinger mass
• Transition Rate and the Photoelectric Effect in the Presence of a Minimal Length
• Do Gedankenexperiments compel quantization of gravity?
• Generalized Relativistic Wave Equations with Intrinsic Maximum Momentum
• Quantum Gravity Effects on the Tachyon Inflation from Thermodynamic Perspective
• Problems with Modified Commutators
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Lorentz-covariant sampling theory for fields
• Geometry and proper time of a relativistic quantum clock
• Quantum lattice models that preserve continuous translation symmetry
• Fractal properties of particle paths due to generalised uncertainty relations
• Short Distance Modification of a Gravitational System and its Optical Analog
• String Theory Bounds on the Cosmological Constant, the Higgs mass, and the Quark and Lepton Masses
• Quantum hoop conjecture and a natural cutoff for vacuum energy of a scalar field
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• Effective information bounds in modified quantum mechanics
• Locally detecting UV cutoffs on a sphere with particle detectors
• Quantum tunneling driven by quintessence and the role of GUP
• Horizon Quantum Mechanics of collapsing shells
• $\lambda {\varphi }^4$ Kink and sine-Gordon Soliton in the GUP Framework
• Effects of a Generalized Uncertainty Principle on the MIT Bag Model Equation of State
• Series solution of the time-dependent Schrödinger-Newton equations in the presence of dark energy via the Adomian Decomposition Method
• T-Minkowski noncommutative spacetimes I: Poincaré groups, differential calculi and braiding
• The shadows of quantum gravity on Bell's inequality
• Lorentz Force and Ponderomotive Force in the Presence of a Minimal Length
• Many-body probes for quantum features of spacetime
• Towards quantum Mechanics on the curved cotangent bundle
• Thermal effects of a photon gas with a deformed Heisenberg algebra
• Covariant Space Time Line Elements in the Friedmann Lemaitre Robertson Walker Geometry
• Quantum gravity and the holographic dark energy cosmology
• From minimal-length quantum theory to modified gravity
• Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
• A Concept of Assessment of LIV Tests with THESEUS Using the Gamma-Ray Bursts Detected by Fermi/GBM
• Minimal Proper-time in Quantum Field Theory
• Probability, Preclusion and Biological Evolution in Heisenberg-Picture Everett Quantum Mechanics
• The holographic principle comes from finiteness of the universe's geometry
• Planck scale displacement of a connected mirror pair: an energy measurement in a gravitational field
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons
• Resonant particle creation by a time-dependent potential in a nonlocal theory
• Nonlocal scalar field in an external potential: WKB approximation
• Higher order GUP black hole based on COW experiment and Einstein-Bohr's photon box
• Deformation of Nanowires and Nanotubes
• Time Evolution in Quantum Mechanics with a Minimal Time Scale
• Quantum Hairy Black Hole Formation and Horizon Quantum Mechanics
• Yang model revisited
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Remarks on the quasi-position representation in models of generalized uncertainty principle
• Analytical solution of the Sommerfeld-Page equation
• Non-Heisenbergian quantum mechanics
• Quantum gravity inspired nonlocal quantum dynamics preserving the classical limit
• Superspace worldline formalism approach to Quantum Gravity: dimensional reduction and Holography
• Preons, Braid Topology, and Representations of Fundamental Particles
• Strong Equivalence Principle in Polymer Quantum Mechanics and deformed Heisenberg Algebra
• Entropic force and bouncing behaviour in $\kappa$-Minkowski space-time
• Bouncing Bianchi Models with Deformed Commutation Relations
• Particle in a cavity in one-dimensional bandlimited quantum mechanics
• Towards a Quantum Erlangen Program
• On the Meaning of Localization in Non-Local Quantum Field Theory
• Unruh effect using Doppler shift method in DSR framework
• Hilbert space representation for quasi-Hermitian position-deformed Heisenberg algebra and Path integral formulation
• Minimal length implications on the Hartree-Fock theory
• Noncommutative Lightcones from Quantum SO(2,1) Conformal Groups
• Relativistic generalised uncertainty and the corrected vacuum energy
• Compactification, T-Duality and Quantum Erasers
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• GUP/BEB correspondence
• Minimal-Length Corrections to Hyperon Polarization in Rotating Quark Gluon Plasma
• Transition to the classical regime in quantum mechanics on a lattice and implications of discontinuous space
• Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes
• Revisiting the algebraic structure of the generalized uncertainty principle
• Quantum volume and length fluctuations in a midi-superspace model of Minkowski space
• Pinpointing Triple Point of Noncommutative Matrix Model with Curvature
• Bounds on Large Extra Dimensions from the Generalized Uncertainty Principle
• Coherence and Entanglement in a Non-commutative Spacetime
• Mixmaster chaos in a quantum scenario:a Deformed Algebra approach
• Dynamic and static properties of Quantum Hall and Harmonic Oscillator systems on the non-commutative plane
• Refractive index profiles for a $\mathcal{P}\mathcal{T}$-symmetric optical structure
• Quantum geometry from commutators: a Heisenberg-picture framework and a toy application to early structure
• Renormalization on the DFR Quantum Spacetime
• Lorentz and gauge invariance of quantum space
• Low Energy Consequences of Loop Quantum Gravity
• Energy Cost of Localization of Relational Quantum Information
• GUP-corrected $\Lambda$CDM cosmology
• Relativistic electrodynamics with a universal length scale
• Reverse quantum speed limit and minimum Hilbert space norm
• Thermodynamics of spacetime from minimal area
• Spontaneous Lorentz symmetry violation from infrared gravity
• An algebraic approach to gravitational quantum mechanics
• Measurement-Induced Perturbations of Hausdorff Dimension in Quantum Paths
• Path Integrated Geodesics and Distances