Quantum gravity and minimum length

Abstract

The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory lead to this result. The key ingredients for the appearance of this minimum length are quantum mechanics, special relativity and general relativity. As a consequence, classical notions such as causality or distance between events cannot be expected to be applicable at this scale. They must be replaced by some other, yet unknown, structure.

23 pages, RevTeX, few minor changes, published version

Cited by in corpus (794)

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• The String Uncertainty Relations follow from the New Relativity Principle
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• High temperature dimensional reduction in Snyder space
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• Glimpses on the micro black hole Planck phase
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• A Note on Quantum Field Theories with a Minimal Length Scale
• Remarks on remnants by fermions' tunnelling from black strings
• $\kappa$--deformed Wigner construction of relativistic wave functions and free fields on $\kappa$-Minkowski space
• Singular inverse square potential in coordinate space with a minimal length
• Uniqueness of canonical tensor model with local time
• Generalized Uncertainty Principle and the Ramsauer-Townsend Effect
• 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
• Quantum evolution according to real clocks
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• On the possibility of experimental detection of the discreteness of time
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• Generalized Uncertainty Principle Removes The Chandrasekhar Limit
• Braided quantum field theories and their symmetries
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• Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon
• Physically motivated uncertainty relations at the Planck length for an emergent non commutative spacetime
• Regular black holes with sub-Planckian curvature
• Generalised uncertainty relations for angular momentum and spin in quantum geometry
• Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
• Discreteness of Space from GUP in a Weak Gravitational Field
• Phenomenological consequences of a geometry in the cotangent bundle
• Quantum gravity effects on compact star cores
• Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe
• Probing noncommutative theories with quantum optical experiments
• Infinite Statistics Condensate as a Model of Dark Matter
• The kappa-(A)dS quantum algebra in (3+1) dimensions
• The $\kappa$-(A)dS noncommutative spacetime
• The Compton-Schwarzschild correspondence from extended de Broglie relations
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Deformation of the Wheeler-DeWitt Equation
• The minimal length is physical
• Length Uncertainty in a Gravity's Rainbow Formalism
• Spacetime Curvature in terms of Scalar Field Propagators
• Quantum Gravity signatures in the Unruh effect
• Split Quaternions and Particles in (2+1)-Space
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• Interferometric Tests of Planckian Quantum Geometry Models
• A freely falling frame at the interface of gravitational and quantum realms
• Casimir-Polder intermolecular forces in minimal length theories
• Effects of the Generalized Uncertainty Principle on Compact Stars
• kappa-Minkowski representations on Hilbert spaces
• Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
• One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
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• Effects of GUP in Quantum Cosmological Perfect Fluid Models
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• Why Does Gravity Ignore the Vacuum Energy?
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Discreteness of area in noncommutative space
• Is Hilbert space discrete?
• Is Gravity an Entropic Force?
• Quantum Deformations of Conformal Algebras Introducing Fundamental Mass Parameters
• Entropy density of spacetime from the zero point length
• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
• The Generalized Uncertainty Principle and the Friedmann equations
• Planck Scale Phenomena
• Fundamental length scale of quantum spacetime foam
• Spacetime singularity resolution in Snyder noncommutative space
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• Deviation from the Standard Uncertainty Principle and the Dark Energy Problem
• Influence of a Minimal Length on the Creation of Scalar Particles
• Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs
• Simulations of black hole air showers in cosmic ray detectors
• Tunneling of massive particles from noncommutative inspired Schwarzschild black hole
• Fuzzy dimensions and Planck's Uncertainty Principle for p-branes
• Generalized Uncertainty Principle Corrections to the Simple Harmonic Oscillator in Phase Space
• Exact solution of inflationary model with minimum length
• Gravity and Quantum Theory: Domains of Conflict and Contact
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• Gauss-Bonnet Cosmology with Induced Gravity and Non-Minimally Coupled Scalar Field on the Brane
• Deformed algebra and the effective dynamics of the interior of black holes
• Point-like sources and the scale of quantum gravity
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• Natural Cutoffs via Compact Symplectic Manifolds
• Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting
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• Minimum length effects in black hole physics
• Noncausal Page-Wootters circuits
• An invariant approach to dynamical fuzzy spaces with a three-index variable
• Gravitational Effects in Quantum Mechanics
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Exact Ultra Cold Neutrons' Energy Spectrum in Gravitational Quantum Mechanics
• A note on the one-dimensional hydrogen atom with minimal length uncertainty
• Nonmetricity theories and aspects of gauge symmetry
• The Wigner distribution function for the one-dimensional parabose oscillator
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Imprint of quantum gravity in the dimension and fabric of spacetime
• The $\kappa$-Newtonian and $\kappa$-Carrollian algebras and their noncommutative spacetimes
• Chiral gravitational waves from z=2 Hořava-Lifshitz gravity
• The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator
• Jacobson generators, Fock representations and statistics of sl(n+1)
• Einstein static universe from GUP
• Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
• Deformed Density Matrix and Quantum Entropy of the Black Hole
• The minimal length: a cut-off in disguise?
• The Classical Limit of Minimal Length Uncertainty Relation:Revisit with the Hamilton-Jacobi Method
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• Polymeric Quantization and Black Hole Thermodynamics
• Quantum cosmology, minimal length and holography
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• Unsharp Degrees of Freedom and the Generating of Symmetries
• Schrödinger's cat for de Sitter spacetime
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• Quantum Mechanics at Planck's scale and Density Matrix
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• The Constraints and Spectra of a Deformed Quantum Mechanics
• Modification of Schrödinger-Newton equation due to braneworld models with minimal length
• Quantum gravity, information theory and the CMB
• GUP modified Hawking Radiation and Transmission/Reflection Coefficients of Rotating Polytropic Black Hole
• Testing Generalised Uncertainty Principles through Quantum Noise
• Asymptotic Safety, Asymptotic Darkness, and the hoop conjecture in the extreme UV
• A (2+1) non-commutative Drinfel'd double spacetime with cosmological constant
• Dimensional flow and fuzziness in quantum gravity: emergence of stochastic spacetime
• GUP and the no-cloning theorem
• Doubly-Special Relativity from Quantum Cellular Automata
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• Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity
• Failure of Standard Thermodynamics in Planck Scale Black Hole System
• The generalized uncertainty principle effect in acoustic black holes
• Determining the Minimal Length Scale of the Generalized Uncertainty Principle from the Entropy-Area Relationship
• Beyond Special Relativity at second order
• The atoms of spacetime and the cosmological constant
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• Dilaton cosmology and the Modified Uncertainty Principle
• Two-point functions with an invariant Planck scale and thermal effects
• Coherent States in Gravitational Quantum Mechanics
• Noncommutative spaces of worldlines
• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Discreteness of Space from GUP in Strong Gravitational Fields
• Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
• Quantum-corrected rotating acoustic black holes in Lorentz-violating background
• Raychaudhuri equation with zero point length
• Minimal length effect on the broadening of free wave-packets and its physical implications
• Measurement of the space-time interval between two events using the retarded and advanced times of each event with respect to a time-like world-line
• Non-commutative space-time and the uncertainty principle
• The final stage of gravitationally collapsed thick matter layers
• Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry
• Black holes production in self-complete quantum gravity
• Universality of minimal length
• Quantum phenomenological gravitational dynamics: A general view from thermodynamics of spacetime
• The minimum mass of a charged spherically symmetric object in $D$ dimensions, its implications for fundamental particles, and holography
• A Subtle Aspect of Minimal Lengths in the Generalized Uncertainty Principle
• Gravity's rainbow: a bridge between LQC and DSR
• Constraints on the deformation scale of a geometry in the cotangent bundle
• Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
• On the only three Short Distance Structures which can be described by Linear Operators
• Minimum-length deformed QM/QFT, issues and problems
• Effect of minimal length uncertainty on the mass-radius relation of white dwarfs
• Reconciling a quantum gravity minimal length with lack of photon dispersion
• Harmonic oscillator chains as Wigner Quantum Systems: periodic and fixed wall boundary conditions in gl(1|n) solutions
• New generalized uncertainty principle with parameter adaptability for the minimum length
• Probing deformed quantum commutators
• Coulomb potential in one dimension with minimal length: A path integral approach
• $f(R)$-Modified Gravity, Wald Entropy, and the Generalized Uncertainty Principle
• Gauge fixing in the tensor model and emergence of local gauge symmetries
• Deformed Special Relativity from Asymptotically Safe Gravity
• Effect of Minimal lengths on Electron Magnetism
• Massless Charged Particles, Naked Singularity, and Generalized Uncertainty Principle in Reissner-Nordström-de Sitter-like spacetime
• The Mixmaster Universe in a generalized uncertainty principle framework
• AdS/CFT Correspondence Beyond its Supergravity Approximation
• Black hole thermodynamics and modified GUP consistent with doubly special relativity
• Lifshitz scalar, brick wall method, and GUP in Hořava-Lifshitz Gravity
• Modified Newton's Law of Gravitation Due to Minimal Length in Quantum Gravity
• Inflationary universe in the presence of a minimal measurable length
• GUP-corrected black holes: Thermodynamic properties, evaporation time and shadow constraint from EHT Observations of M87* and Sgr A*
• Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
• Short-Distance Space-Time Structure and Black Holes in String Theory : A Short Review of the Present Status
• Finite electrodynamics from T-duality
• On deformations of classical mechanics due to Planck-scale physics
• Uncertainty relation and non-dispersive states in Finite Quantum Mechanics
• Optimal uncertainty relations in a modified Heisenberg algebra
• Quantum Foam and Quantum Gravity Phenomenology
• Existence of Chandrasekhar's limit in GUP white dwarfs
• Cosmology with Negative Absolute Temperatures
• Possible quantum gravity effects on the gravitational deflection of light
• Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments
• Non-locality in Quantum Field Theory due to General Relativity
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• On Gravity localization under Lorentz Violation in warped scenario
• Implications of minimum-length deformed quantum mechanics for QFT/QG
• On Nonlocality, Lattices and Internal Symmetries
• Generalized relativistic harmonic oscillator in minimal length quantum mechanics
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
• Fermions tunnelling with quantum gravity correction
• The lowest modes around Gaussian solutions of tensor models and the general relativity
• Twisted (2+1) $\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
• Thermostatistics of the Polymeric Ideal Gas
• New higher-order generalized uncertainty principle: Applications
• The fluctuation spectra around a Gaussian classical solution of a tensor model and the general relativity
• Relativistic Extended Uncertainty Principle from Spacetime Curvature
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• Gravity Induced Non-Local Effects in the Standard Model
• Modified commutation relationships from the Berry-Keating program
• Building a case for a Planck-scale-deformed boost action: the Planck-scale particle-localization limit
• Bounds on quantum gravity parameter from the $SU(2)$ NJL effective model of QCD
• Quantum gravity without vacuum dispersion
• Probing quantum gravity effects with quantum mechanical oscillators
• Quantum Gravity on a Quantum Computer?
• On entropic uncertainty relations in the presence of a minimal length
• Indirect Probe of Quantum Gravity using Molecular Wave-packets
• Wave Packets Propagation in Quantum Gravity
• Spectrum of the hydrogen atom in Snyder space in a semiclassical approximation
• Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
• Deformation of Second and Third Quantization
• Pseudoharmonic oscillator in quantum mechanics with a minimal length
• Canonical Realizations of Doubly Special Relativity
• GUP and Point Interaction
• Effect of GUP on Hawking radiation of BTZ black hole
• The Universe as a Nonuniform Lattice in the Finite-Dimensional Hypercube II.Simple Cases of Symmetry Breakdown and Restoration
• SL(2,C) gravity on noncommutative space with Poisson structure
• Effects of the Generalized Uncertainty Principle on the Inflation Parameters
• Modified entropies as the origin of generalized uncertainty principles
• On the 5D differential calculus and translation transformations in 4D kappa-Minkowski noncommutative spacetime
• Universality in an Information-theoretic Motivated Nonlinear Schrodinger Equation
• Hawking Radiation Under Generalized Uncertainty Principle
• Coherent States for the Non-Linear Harmonic Oscillator
• Implication of geodesic equation in Generalized Uncertainty Principle framework
• Barrow black holes and the minimal length
• Strong Coupling Quantum Gravity and Physics beyond the Planck Scale
• Collective motion in prolate γ-rigid nuclei within minimal length concept via a quantum perturbation method
• Pure States, Mixed States and Hawking Problem in Generalized Quantum Mechanics
• Quantum walks, deformed relativity, and Hopf algebra symmetries
• Chaotic Motion around a Black Hole under Minimal Length Effects
• 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
• A novel mechanism for probing the Planck scale
• Spacetime from locality of interactions in deformations of special relativity: the example of $\kappa$-Poincaré Hopf algebra
• A discrete model of energy-conserved wavefunction collapse
• Detecting the effects of quantum gravity with exceptional points in optomechanical sensors
• A new Doubly Special Relativity theory from a quantum Weyl-Poincare algebra
• Polymer quantization versus the Snyder noncommutative space
• Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
• Ising model on random networks and the canonical tensor model
• UV And IR Effects On Hawking Radiation
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
• Heat kernel coefficients for compact fuzzy spaces
• Is there a connection between "dark" and "light" physics?
• A Dark Energy Model with Generalized Uncertainty Principle in the Emergent, Intermediate and Logamediate Scenarios of the Universe
• Thermodynamic phase transition based on the non-singular temperature
• Some Implications of Two Forms of the Generalized Uncertainty Principle
• Time Uncertainty in Quantum Gravitational Systems
• Reinterpreting deformed Heisenberg algebras
• Quantum gravitational signatures in next-generation gravitational wave detectors
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Could Planck Star Remnants be Dark Matter?
• The minimal length uncertainty and the nonextensive thermodynamics
• Scale-invariant cosmology in de Sitter gauge theory
• Generalized Extended Uncertainty Principles, Liouville theorem and density of states: Snyder-de Sitter and Yang models
• On Diósi-Penrose criterion of gravity-induced quantum collapse
• Length-preserving biconnection gravity and its cosmological implications
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
• Non-thermal quantum black holes with quantized masses
• Discreteness of time in the evolution of the universe
• Once again about quantum deformations of D=4 Lorentz algebra: twistings of q-deformation
• On Pairs of Difference Operators Satisfying: [P,Q] = Id
• Corrections to Scattering Processes due to Minimal Measurable Length
• Quantum clock: A critical discussion on spacetime
• Two-dimensional gravity with an invariant energy scale
• Planck length challenges non-relativistic quantum mechanics of large masses
• Three-parameter (two-sided) deformation of Heisenberg algebra
• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
• Minimal Length, Measurability and Gravity
• The more things change the more they stay the same: Minimum lengths with unmodified uncertainty principle and dispersion relation
• Quantum Statistical Entropy and Minimal Length of 5D Ricci-flat Black String with Generalized Uncertainty Principle
• Discrete Symmetries In Lorentz-Invariant Non-Commutative QED
• Nonlocality and gravity-induced CP violation
• 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
• Modified clock inequalities and modified black hole lifetime
• Generalized uncertainty principle and $D$-dimensional quantum mechanics
• Relativistic deformed kinematics from locality conditions in a generalized spacetime
• The quantum clock: a critical discussion on space-time
• Compact stars in quantum spacetime
• Extending general covariance: Moyal-type noncommutative manifolds
• Consequences of Godel Theorems on Third Quantized Theories Like String Field Theory and Group Field Theory
• Einstein-Rosen bridge from the minimal length
• Exact Solutions of a Non-Polynomially Nonlinear Schrodinger Equation
• Velocity Polytopes of Periodic Graphs and a No-Go Theorem for Digital Physics
• Generalized uncertainty principle and thermostatistics: a semiclassical approach
• On Internal Consistency of Holographic Dark Energy Models
• Bouncing universe with modified dispersion relation
• Field propagation in a stochastic background space: The rate of light incoherence in stellar interferometry
• Asymptotic approach to Special Relativity compatible with a relativistic principle
• A new mass scale, implications on black hole evaporation and holography
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Astrophysical observables for regular black holes with sub-Planckian curvature
• Late time cosmic acceleration from natural infrared cutoff?
• All noncommutative spaces of $\kappa$-Poincaré geodesics
• The tunneling radiation of a black hole with a $f(R)$ global monopole under generalized uncertainty principle
• Topological Defects in a Deformed Gauge Theory
• Minimal length and the flow of entropy from black holes
• Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
• On the stability of the dark energy based on generalized uncertainty principle
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole
• Entropy of the FRW universe based on the generalized uncertainty principle
• Charged fermions tunneling from stationary axially symmetric black holes with generalized uncertainty principle
• Dangerous implications of a minimum length in quantum gravity
• EGUP corrected thermodynamics of RN-AdS black hole with quintessence matter
• An infinite square-well potential as a limiting case of a finite square-well potential in a minimal-length scenario
• The quantum theory of time, the block universe and human experience
• Massive fermions interacting via a harmonic oscillator in the presence of a minimal length uncertainty relation
• Events in a Non-Commutative Space-Time
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• The solitary solutions of nonlinear Klein-Gordon field with minimal length
• Analogue quantum gravity in hyperbolic metamaterials
• Black Hole Information vs. Locality
• Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
• Fundamental physics in space: a Quantum-Gravity perspective
• Twin Peaks: A possible signal in the production of resonances beyond special relativity
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• Tests of Quantum Gravity and Large Extra Dimensions Models Using High Energy Gamma Ray Observations
• Scale Dependent Metric and Minimal Length in QEG
• Space and time transformations with a minimal length
• Principle of Equivalence at Planck scales, QG in locally inertial frames and the zero-point-length of spacetime
• Collective states of even-even nuclei in gamma-rigid quadrupole Hamiltonian with Minimal Length under the sextic potential
• Uncertainty principle in quantum mechanics with Newton's gravity
• Light incoherence due to quantum-gravitational fluctuations of the background space
• Why space could be quantised on a different scale to matter
• Schrödinger's Black Hole Cat
• Schwinger's Model of Angular Momentum with GUP
• Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes
• The dominating mode of two competing massive modes of quadratic gravity
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Cosmological Constant and Noncommutative Spacetime
• Hawking radiation and stability of the canonical acoustic black holes
• Static Quark Potentials in Quantum Gravity
• Massless Charged Particles Tunneling Radiation from a RN-dS Horizon and the Linear and Quadratic GUP
• Noncommutative spaces and covariant formulation of statistical mechanics
• Classical electrodynamics on Snyder space
• Symmetric ordering and Weyl realizations for quantum Minkowski spaces
• Generalized relativistic kinematics in Poincaré-invariant models
• Minimal length effects in black hole thermodynamics from tunneling formalism
• Minimal Length Phenomenology and the Black Body Radiation
• Causal Set Dynamics: A Toy Model
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• Minimum black hole mass from colliding Gaussian packets
• Relativistic deformed kinematics: from flat to curved spacetimes
• Euclidean methods and phase transitions for the strongest deformations compatible with Schwarzschild asymptotics
• Minimum length, extra dimensions, modified gravity and black hole remnants
• Entropy: From Black Holes to Ordinary Systems
• Removing the Big Bang Singularity: The role of the generalized uncertainty principle in quantum gravity
• Charged shells and elementary particles
• Deformed spaces and loop cosmology
• Dark Matter Production at LHC from Black Hole Remnants
• Effect of GUP on the Kepler problem and a variable minimal length
• Planck-Scale Corrections to Friedmann Equation
• Can Quantum Gravitational Effects Manifest themselves at Large Distances?
• Ultraviolet dimensional reduction of spacetime with zero-point length
• Comments on the cosmological constant in generalized uncertainty models
• Space-time thermodynamics in momentum dependent geometries
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• Radiation of Charged Black Holes and Modified Dispersion Relation
• Multi-Dimensional Cosmology and DSR-GUP
• Spin-Spacetime Censorship
• The role of translational invariance in non linear gauge theories of gravity
• The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
• Noncommutative Brownian motion
• Non-Relativistic Anti-Snyder Model and Some Applications
• Note on uncertainty relations in doubly special relativity and rainbow gravity
• Entropy bound for the photon gas in noncommutative spacetime
• Effect of RGUP on the nonlinear Klein-Gordon model with spontaneous symmetry breaking
• Discrete dynamics versus analytic dynamics
• Measurable Maximal Energy and Minimal Time Interval
• On the use of energy loss mechanisms to constrain Lorentz invariance violations
• Quantum Gravity: physics from supergeometries
• Theoretical and Observational Implications of Planck's Constant as a Running Fine Structure Constant
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Quantum gravitational decoherence of a mechanical oscillator from spacetime fluctuations
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• Minimal-length quantum field theory: a first-principle approach
• The Mass Gap of the Space-time and its Shape
• Information content and minimum-length metric: A drop of light
• Quantum Entanglement with Generalized Uncertainty Principle
• Particle-antiparticle asymmetry in a relativistic deformed kinematics
• Field theory on evolving fuzzy two-sphere
• Probable ratio of the vacuum energy in a Schwarzchild-de Sitter space
• Two-dimensional gravity with an invariant energy scale and arbitrary dilaton potential
• Dual DSR
• Corrections to the Emergent Canonical Commutation Relations Arising in the Statistical Mechanics of Matrix Models
• Noncommutative Parameters of Quantum Symmetries and Star Products
• Early universe thermostatistics in curved momentum spaces
• Non-unitary evolutions of noncommutative worlds with symmetry
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
• Rényi and von Neumann entropies of thermal state in Generalized Uncertainty Principle-corrected harmonic oscillator
• Lorentz-violating extension of scalar QED at finite temperature
• Penetration of Arbitrary Double Potential Barriers with Probability Unity: Implications for Testing the Existence of a Minimum Length
• Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off
• Evolving fuzzy CP^n and lattice n-simplex
• Basic quantizations of $D=4$ Euclidean, Lorentz, Kleinian and quaternionic ${\mathfrak{o}}^{\star }(4)$ symmetries
• Maximal Acceleration, Reciprocity & Nonlocality
• Non-Local Deformation of a Supersymmetric Field Theory
• Solutions of the Bogoliubov-de Gennes equation with position dependent Fermi--velocity and gap profiles
• Generalized uncertainty principle in quantum cosmology for the maximally symmetric space
• Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
• Linear-Quadratic GUP and Thermodynamic Dimensional Reduction
• Generalized uncertainty principle and neutrino phenomenology
• The generalized uncertainty principle in the presence of extra dimensions
• In Search of Fundamental Discreteness in 2+1 Dimensional Quantum Gravity
• New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Signature Change by GUP
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• Entropy Bound with Generalized Uncertainty Principle in General Dimensions
• Bouncing scalar field cosmology in the polymeric minisuperspace picture
• Minimum Length - Maximum Velocity
• Zero-point gravitational field equations
• Nonstandard Deformed Oscillators from $q$- and $p,q$-Deformations of Heisenberg Algebra
• Moving Schwarzschild Black Hole and Modified Dispersion Relations
• The noncommutative space of light-like worldlines
• The Influence of Approximation in Generalized Uncertainty Principle on Black Hole Evaporation
• Umbral Deformations on Discrete Spacetime
• Gravity as a Gauge Theory of Translations
• Random versus holographic fluctuations of the background metric. I. (Cosmological) running of space-time dimension
• From spacetime thermodynamics to Weyl transverse gravity
• Free Motion of a Dirac Particle with a Minimum Uncertainty in Position
• Remarks on generalized uncertainty principle induced from constraint system
• Cosmic Neutrinos as a Window to Departures from Special Relativity
• Circular strings, wormholes and minimum size
• On the origin of the holographic universe
• Information, information processing and gravity
• Discrete Molecular Dynamics
• Dynamical variables in Gauge-Translational Gravity
• Quantum states for a minimum-length spacetime
• Covariant formulation of Noether's Theorem for translations on kappa-Minkowski spacetime
• Quantum Klein Space and Superspace
• Renormalizing Spacetime
• Exploring black hole mechanics in cotangent bundle geometries
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit
• Possible polarisation and spin dependent aspects of quantum gravity
• Do Gedankenexperiments compel quantization of gravity?
• New Deformed Heisenberg Algebra from the $\mu$-Deformed Model of Dark Matter
• A modification of Einstein-Schrodinger theory that contains both general relativity and electrodynamics
• Fundamental Limit on Angular Measurements and Rotations from Quantum Mechanics and General Relativity
• Quantum groups and noncommutative spacetimes with cosmological constant
• Tidal effects based on GUP-induced effective metric
• Scalar field inflation driven by a modification of the Heisenberg algebra
• How strings can explain regular black holes
• Asymptotics of Regulated Field Commutators for Einstein-Rosen Waves
• Quantized space-time and its influences on some physical problems
• Hawking Temperature in Taub-NUT (A)dS spaces via the Generalized Uncertainty Principle
• Covariant dynamics on the energy-momentum space: scalar field theory
• Covariant Predictions for Planck-Scale Features in Primordial Power Spectra
• Photon gas thermodynamics in dS and AdS momentum spaces
• Testing energy non-additivity in white dwarfs
• Unruh-Fulling effect in nonlocal field theory: The role of Unruh decomposition
• Entropic uncertainty relation based on generalized uncertainty principle
• Quantum Gravity Constraints on Fine Structure Constant from GUP in Braneworlds
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential
• Effect of the Minimal Length on Bose-Einstein Condensation in the Relativistic Ideal Bose Gas
• Effect of fast scale factor fluctuations on cosmological evolution
• Thermal effects of a photon gas with a deformed Heisenberg algebra
• D-particles and the localization limit in quantum gravity
• Quantum vacuum effects from boundaries of designer potentials
• Three Short Distance Structures from Quantum Algebras
• The tunneling radiation of Kehagias-Sfetsos black hole under generalized uncertainty principle
• Towards quantum Mechanics on the curved cotangent bundle
• Fractal properties of particle paths due to generalised uncertainty relations
• Quantum Structure of Geometry: Loopy and fuzzy?
• Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale
• Simultaneous emergence of curved spacetime and quantum mechanics
• Quantum hoop conjecture and a natural cutoff for vacuum energy of a scalar field
• Holographic Cosmology from BIonic Solutions
• A Note on Coherent States with Quantum Gravity Effects
• 5-Dimensional $SO(1,4)$-Invariant Action as an Origin to the Magueijo-Smolin Doubly Special Relativity Proposal
• Dark Energy as a Relic of the Vacuum-Energy Cancellation?
• Quantum lattice models that preserve continuous translation symmetry
• Effective information bounds in modified quantum mechanics
• Many-body probes for quantum features of spacetime
• Lorentz-covariant sampling theory for fields
• Probing DDM and ML quantum concepts in shape phase transitions of $\gamma$-unstable nuclei
• Quantum-gravitational running/reduction of space-time dimension
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• The coordinate coherent states approach revisited
• Short Distance Modification of a Gravitational System and its Optical Analog
• Einstein static universe, GUP, and natural IR and UV cut-offs
• Dynamic noncommutative BTZ black holes
• Yang model revisited
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Random versus holographic fluctuations of the background metric. II. Note on the dark energies arising due to microstructure of space-time
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• From quantum deformations of relativistic symmetries to modified kinematics and dynamics
• Minimal Proper-time in Quantum Field Theory
• Effects of quantum geometry on the decoherence induced by black holes
• Horizon quantum geometries and decoherence
• Fomin's conception of quantum cosmogenesis
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• Studying the effects of minimal length in large extra dimensional models in the jet + missing energy channels at hadron colliders
• Energy-time uncertainty relation from entropy measures
• Remarks on the quasi-position representation in models of generalized uncertainty principle
• Hawking radiation of rotating BTZ Black hole based on modified dispersion relation and Rarita-Schwinger equation
• How Spacetime Foam modifies the brick wall
• Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators
• A novel mechanism for probing the Planck scale with wavepackets following general distributions
• Planck scale displacement of a connected mirror pair: an energy measurement in a gravitational field
• Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces
• Natural Cutoffs effect on Charged Rotating TeV-Scale Black Hole Thermodynamics
• Charged Massive Particle's Tunneling From Charged Non-Rotating Micro Black Hole
• Grand Unification on Noncommutative Spacetime
• On a possible quantum limit for the stabilization of moduli in brane-world scenarios
• Mother canonical tensor model
• Hartmann potential with a minimal length and generalized recurrence relations for matrix elements
• Non-local imprints of gravity on quantum theory
• Absence of initial singularities in superstring cosmology
• Time Evolution in Quantum Mechanics with a Minimal Time Scale
• GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry
• Quantum gravity, the cosmological constant, and parity transformation
• Phonons mimicking doubly special relativity kinematics
• Uncertainty Principles and Maximum Entropic Force
• Deformed Heisenberg Algebra with a minimal length: Application to some molecular potentials
• Hilbert space representation for quasi-Hermitian position-deformed Heisenberg algebra and Path integral formulation
• Compactification, T-Duality and Quantum Erasers
• Thermodynamics of spacetime from minimal area
• The quantum mass gap of extremal black holes
• GUP/BEB correspondence
• Minimal Proper Time and Deterministic Microstates: Emergent Quantum Fields and Relativistic Spacetime
• Minimal-Length Corrections to Hyperon Polarization in Rotating Quark Gluon Plasma
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• The Extended Uncertainty Principle from a Projector-Valued Measurement Perspective
• Thermodynamic properties of ideal Bose gas trapped in different external power-law potentials under generalized uncertainty principle*
• Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle
• Quantum time uncertainty in Schwarzschild-anti-de Sitter black holes
• Gaussian Planck Relics are Ruled-Out as Dark Matter by LIGO
• Superluminal modes in a quantum field simulator for cosmology from analog trans-Planckian physics
• Dimensional Phenomenology in Polymeric Quantization Framework
• GUP-corrected $\Lambda$CDM cosmology
• Aharonov-Bohm-Like Scattering in the Generalized Uncertainty Principle-corrected Quantum Mechanics
• Equations for fields with additional fundamental physical constants
• Attraction Induced by Mutual Quantum Measurements of Velocity
• Proton Decay and the Quantum Structure of Spacetime
• Lorentz and gauge invariance of quantum space
• The instability of a black hole with $f(R)$ global monopole under extended uncertainty principle
• Dynamic and static properties of Quantum Hall and Harmonic Oscillator systems on the non-commutative plane
• Realizations of the Extended Snyder Model