30 years in: Quo vadis generalized uncertainty principle?

Abstract

According to a number of arguments in quantum gravity, both model-dependent and model-independent, Heisenberg's uncertainty principle is modified when approaching the Planck scale. This deformation is attributed to the existence of a minimal length. The ensuing models have found entry into the literature under the term Generalized Uncertainty Principle (GUP). In this work, we discuss several conceptual shortcomings of the underlying framework and critically review recent developments in the field. In particular, we touch upon the issues of relativistic and field theoretical generalizations, the classical limit and the application to composite systems. Furthermore, we comment on subtleties involving the use of heuristic arguments instead of explicit calculations. Finally, we present an extensive list of constraints on the model parameter $\beta$, classifying them on the basis of the degree of rigour in their derivation and reconsidering the ones subject to problems associated with composites.

arXiv comment38 pages. Accepted for publication in Classical and Quantum Gravity, "Special Issue: Focus on Quantum Gravity Phenomenology in the Multi-Messenger Era: Challenges and Perspectives"

References in corpus (316)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Hawking Radiation as Tunneling
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Discreteness of area and volume in quantum gravity
• Quantum gravity and minimum length
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• A Generalized Uncertainty Principle in Quantum Gravity
• Thermodynamical Aspects of Gravity: New insights
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• The Generalized Uncertainty Principle and Black Hole Remnants
• Minimal Length Scale Scenarios for Quantum Gravity
• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Probing Planck-scale physics with quantum optics
• The algebraic structure of the generalized uncertainty principle
• On Gravity and the Uncertainty Principle
• Nonpointlike Particles in Harmonic Oscillators
• A proposal for testing Quantum Gravity in the lab
• Minimal Length Uncertainty Relation and Hydrogen Atom
• 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
• A Classical Sequential Growth Dynamics for Causal Sets
• When conceptual worlds collide: The GUP and the BH entropy
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Signatures in the Planck Regime
• 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
• Fractal Spacetime Structure in Asymptotically Safe Gravity
• Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
• Phenomenological Implications of the Generalized Uncertainty Principle
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Generalized Uncertainty Principle: Approaches and Applications
• Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Gravitational tests of the Generalized Uncertainty Principle
• The causal set approach to quantum gravity
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Black Hole Remnants and Dark Matter
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
• Will we observe black holes at LHC?
• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• GUP parameter from quantum corrections to the Newtonian potential
• Natural extension of the Generalised Uncertainty Principle
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
• 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
• Fractal Structure of Loop Quantum Gravity
• Black hole thermodynamics with generalized uncertainty principle
• Minimum Length from Quantum Mechanics and Classical General Relativity
• Minimal Length Uncertainty Relation and gravitational quantum well
• Extended uncertainty principle and the geometry of (anti)-de Sitter space
• Thermodynamics of black holes in the deformed Hořava-Lifshitz gravity
• How classical are TeV-scale black holes?
• 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
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Generalized Uncertainty Principle and Corpuscular Gravity
• Black hole thermodynamics with generalized uncertainty principle
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Limits on the Measurability of Space-time Distances in (the Semi-classical Approximation of) Quantum Gravity
• Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
• Composite system in deformed space with minimal length
• Minimal Length Uncertainty Relation and the Hydrogen Spectrum
• Modified Unruh effect from Generalized Uncertainty Principle
• Lorentz-covariant deformed algebra with minimal length and application to the 1+1-dimensional Dirac oscillator
• Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
• Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
• Some Aspects of Minimal Length Quantum Mechanics
• Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics
• New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
• Some Heuristic Semiclassical Derivations of the Planck Length, the Hawking Effect and the Unruh Effect
• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Gauge Theories under Incorporation of a Generalized Uncertainty Principle
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Lorentz violation and generalized uncertainty principle
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Testing of Generalized Uncertainty Principle With Macroscopic Mechanical Oscillators and Pendulums
• Quantum Mechanics and the Generalized Uncertainty Principle
• 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
• GUP Assisted Hawking Radiation of Rotating Acoustic Black Holes
• Observing remnants by fermions' tunneling
• Gravitational Uncertainty and Black Hole Remnants
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Minimal Length and Bouncing Particle Spectrum
• Generalized uncertainty principle and black hole thermodynamics
• Scalar Field Theory on Non-commutative Snyder Space-Time
• Casimir Effect in the Presence of Minimal Lengths
• Background independent quantization and the uncertainty principle
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• The Casimir Effect in Minimal Length Theories based on a Generalized Uncertainity Principle
• Generalized Uncertainty Principle, Modified Dispersion Relations and Early Universe Thermodynamics
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• Quantum Gravity Effects in Geodesic Motion and Predictions of Equivalence Principle Violation
• One dimensional Coulomb-like problem in deformed space with minimal length
• Singularities and the Finale of Black Hole Evaporation
• Relativistic Generalized Uncertainty Principle
• A class of GUP solutions in deformed quantum mechanics
• Remnants, fermions' tunnelling and effects of quantum gravity
• Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
• Inflation Induced Planck-Size Black Hole Remnants As Dark Matter
• Deformed Heisenberg algebra with minimal length and equivalence principle
• Fermion's tunnelling with effects of quantum gravity
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Minimal Length and Generalized Dirac Equation
• Lorentz-covariant deformed algebra with minimal length
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• GUP parameter from Maximal Acceleration
• Minimal Length and Small Scale Structure of Spacetime
• The generalized and extended uncertainty principles and their implications on the Jeans mass
• Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
• Modified Dispersion Relation, Photon's Velocity, and Unruh Effect
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
• Multi-Particle States in Deformed Special Relativity
• Constraining the generalized uncertainty principle with cold atoms
• Hydrogen atom in momentum space with a minimal length
• The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAd{S}_5$ Black Holes
• Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
• Generalised uncertainty relations from superpositions of geometries
• On the modification of Hamiltonians' spectrum in gravitational quantum mechanics
• Generalized uncertainty principles and quantum field theory
• Relative locality and the soccer ball problem
• A minimal length versus the Unruh effect
• Deformed General Relativity
• Entangled Particles Tunneling From a Schwarzschild Black Hole immersed in an Electromagnetic Universe with GUP
• About maximally localized states in quantum mechanics
• The Effect of GUP to Massive Vector and Scalar Particles Tunneling From a Warped DGP Gravity Black Hole
• New generalized uncertainty principle from the doubly special relativity
• Generalized uncertainty principle impact onto the black holes information flux and the sparsity of Hawking radiation
• Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
• 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
• Phenomenology of GUP stars
• Grin of the Cheshire cat: Entropy density of spacetime as a relic from quantum gravity
• 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
• Generalized Dirac structure beyond the linear regime in graphene
• Black Hole Entropy with minimal length in Tunneling formalism
• Effect of the Generalized Uncertainty Principle on Post-Inflation Preheating
• Rigorous Hamiltonian and Lagrangian analysis of classical and quantum theories with minimal length
• Thermodynamics of an Evaporating Schwarzschild Black Hole in Noncommutative Space
• On the Minimal Length Uncertainty Relation and the Foundations of String Theory
• Minimal Length, Friedmann Equations and Maximum Density
• Is a tabletop search for Planck scale signals feasible?
• Massive vector particles tunneling from black holes influenced by the generalized uncertainty principle
• Generalized uncertainty principle in Bianchi type I quantum cosmology
• Spacetime with zero point length is two-dimensional at the Planck scale
• Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
• Quantum gravity effects on statistics and compact star configurations
• On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation
• Generalized Uncertainty Principle: Implications for Black Hole Complementarity
• Scalar field cosmology modified by the Generalized Uncertainty Principle
• Cosmological Constant from a Deformation of the Wheeler-DeWitt Equation
• Upper bound on the GUP parameter using the black hole shadow
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Implications of Minimal Length Scale on the Statistical Mechanics of Ideal Gas
• GUP-Corrected Black Hole Thermodynamics and the Maximum Force Conjecture
• Zero Mass Remnant as an Asymptotic State of Hawking Evaporation
• Baryogenesis in non-extensive Tsallis Cosmology
• Time Crystals from Minimum Time Uncertainty
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• On Quantum Gravity Tests with Composite Particles
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
• Quantum Black Hole and the Modified Uncertainty Principle
• Generalized Uncertainty Principle and White Dwarfs Redux: How Cosmological Constant Protects Chandrasekhar Limit
• Rainbow metric from quantum gravity
• Bardeen regular black hole as a quantum-corrected Schwarzschild black hole
• Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities
• Kappa-deformed Snyder spacetime
• Generalized uncertainty principle or curved momentum space?
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Extended GUP formulation and the role of momentum cut-off
• Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
• Non-singular and Cyclic Universe from the Modified GUP
• Quantum mechanics in de Sitter space
• Generalized Uncertainty Principle and Self-dual Black Holes
• Heuristic derivation of Casimir effect in minimal length theories
• Linear and Quadratic GUP, Liouville Theorem, Cosmological Constant, and Brick Wall Entropy
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Quantum Gravity Corrections and Entropy at the Planck time
• Electroweak Theory with a Minimal Length
• Scale--dependent Hayward black hole and the generalized uncertainty principle
• Generalized Uncertainty Principle and the Ramsauer-Townsend Effect
• Towards a Cosmology with Minimal Length and Maximal Energy
• Singular inverse square potential in coordinate space with a minimal length
• On the quasi-position representation in theories with a minimal length
• Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
• Bounds on GUP parameters from GW150914 and GW190521
• Generalized Uncertainty Principle Removes The Chandrasekhar Limit
• Quantum-Corrected Black Hole Thermodynamics in Extra Dimensions
• Generalised uncertainty relations for angular momentum and spin in quantum geometry
• Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
• Quantum gravity effects on compact star cores
• Discreteness of Space from GUP in a Weak Gravitational Field
• Nonclassicality versus entanglement in a noncommutative space
• Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe
• Comparing two approaches to Hawking radiation of Schwarzschild-de Sitter black holes
• Effects of the Generalized Uncertainty Principle on Compact Stars
• One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
• Noncommutativity, generalized uncertainty principle and FRW cosmology
• The Soccer-Ball Problem
• Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
• Quantum Wells and the Generalized Uncertainty Principle
• Holographic Cosmology from the First Law of Thermodynamics and the Generalized Uncertainty Principle
• The Generalized Uncertainty Principle and the Friedmann equations
• Maximal momentum GUP leads to quadratic gravity
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Short Distance Physics of the Inflationary de Sitter Universe
• Coherent States of Harmonic Oscillator and Generalized Uncertainty Principle
• Generalized Uncertainty Principle Corrections to the Simple Harmonic Oscillator in Phase Space
• 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
• Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs
• Path Integral for non-relativistic Generalized Uncertainty Principle corrected Hamiltonian
• Deviation from the Standard Uncertainty Principle and the Dark Energy Problem
• Cosmology with minimal length uncertainty relations
• Point-like sources and the scale of quantum gravity
• Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study
• Generalized uncertainty principle and correction value to the black hole entropy
• Minimal Length and the Quantum Bouncer: A Nonperturbative Study
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• The Minimal Length and the Quantum Partition Functions
• Interacting quintessence in light of Generalized Uncertainty Principle: Cosmological perturbations and dynamics
• A note on the one-dimensional hydrogen atom with minimal length uncertainty
• Constraining the Generalized Uncertainty Principle Through Black Hole Shadow and Quasiperiodic Oscillations
• The GUP and quantum Raychaudhuri equation
• On the Stability of Planetary Circular Orbits in Noncommutative Spaces
• The minimal length: a cut-off in disguise?
• Einstein static universe from GUP
• Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
• Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*
• Failure of Standard Thermodynamics in Planck Scale Black Hole System
• Lagrangian Formulation of a Magnetostatic Field in the Presence of a Minimal Length Scale Based on the Kempf Algebra
• A Critique on Some Aspects of GUP Effective Metric
• GUP and the no-cloning theorem
• Black Hole Corrections due to Minimal Length and Modified Dispersion Relation
• Testing Generalised Uncertainty Principles through Quantum Noise
• Coherent States in Gravitational Quantum Mechanics
• Dilaton cosmology and the Modified Uncertainty Principle
• Quantum field theory with the generalized uncertainty principle II: Quantum Electrodynamics
• Effective GUP-modified Raychaudhuri equation and black hole singularity: four models
• Quantum Gravity Effect on the Tunneling Particles from 2+1 dimensional New-type Black Hole
• Quantization of fields based on Generalized Uncertainty Principle
• Effect of minimal length uncertainty on the mass-radius relation of white dwarfs
• The Generalized Uncertainty Principle in f(R) Gravity for a Charged Black Hole
• Constraining the loop quantum gravity parameter space from phenomenology
• Effects of the Modified Uncertainty Principle on the Inflation Parameters
• Quantum gravity simulation by non-paraxial nonlinear optics
• Probing deformed quantum commutators
• Generalized Uncertainty Principle and Self-Adjoint Operators
• $f(R)$-Modified Gravity, Wald Entropy, and the Generalized Uncertainty Principle
• Gravitational effects on the Heisenberg Uncertainty Principle: a geometric approach
• Gravitational bending angle with finite distances by Casimir wormholes
• Quantum-spacetime effects on nonrelativistic Schrödinger evolution
• On deformations of classical mechanics due to Planck-scale physics
• Optimal uncertainty relations in a modified Heisenberg algebra
• Existence of Chandrasekhar's limit in GUP white dwarfs
• Entropic corrections to Newton's law
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
• Constraining the generalized uncertainty principle with the atomic weak-equivalence-principle test
• Schwinger Pair Production and the Extended Uncertainty Principle: Can Heuristic Derivations Be Trusted?
• New higher-order generalized uncertainty principle: Applications
• Relativistic Extended Uncertainty Principle from Spacetime Curvature
• Wave Packets Propagation in Quantum Gravity
• Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
• Generalized Quantization Principle in Canonical Quantum Gravity and Application to Quantum Cosmology
• Probing Planck Scale Spacetime By Cavity Opto-Atomic ${}^{87}$Rb Interferometry
• Formulation of the Spinor Field in the Presence of a Minimal Length Based on the Quesne-Tkachuk Algebra
• GUP and Point Interaction
• Canonical Realizations of Doubly Special Relativity
• Dynamics of Quintessence in Generalized Uncertainty Principle
• Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Gravitational Corrections to the Energy-Levels of a Hydrogen Atom
• The three "layers" of graphene monolayer and their analog generalized uncertainty principles
• Reinterpreting deformed Heisenberg algebras
• The Effects of Minimal Length in Entropic Force Approach
• Minisuperspace dynamics in a generalized uncertainty principle framework
• Improved constraints on minimum length models with a macroscopic low loss phonon cavity
• Entropy of the FRW universe based on the generalized uncertainty principle
• Tests of Quantum Gravity via Generalized Uncertainty Principle
• Hawking temperature for various kinds of black holes from Heisenberg uncertainty principle
• A solution to the soccer ball problem for generalised uncertainty relations
• Minimal length and the flow of entropy from black holes
• Constraining GUP Models Using Limits on SME Coefficients
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy
• Space and time transformations with a minimal length
• Dark Matter as an effect of a minimal length
• Planck-Scale Corrections to Friedmann Equation
• Effect of GUP on the Kepler problem and a variable minimal length
• Twist for Snyder space
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Multi-particle systems in quantum spacetime and a novel challenge for center-of-mass motion
• On the algebraic approach to GUP in anisotropic space
• Generalized Uncertainty Principle and Dark Matter
• The Influence of Approximation in Generalized Uncertainty Principle on Black Hole Evaporation
• A proposal for Heisenberg uncertainty principle and STUR for curved backgrounds: an application to white dwarf, neutron stars and black holes
• Theory and phenomenology of relativistic corrections to the Heisenberg principle
• Remarks on the quasi-position representation in models of generalized uncertainty principle
• Modified uncertainty relations from classical and quantum gravity

Cited by in corpus (33)

• $\alpha$-attractor inflation modified by GUP in light of ACT observations
• Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects
• Black hole interior quantization: a minimal uncertainty approach
• Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
• Constraining Snyder and GUP models with low-mass stars
• A generalized uncertainty-inspired quantum black hole
• n-dimensional non-commutative GUP quantization and application to the Bianchi I model
• Challenging $\Lambda$CDM with Higher-Order GUP Corrections
• Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?
• Generalized Uncertainty Principle theories and their classical interpretation
• Expectation value dynamics within real Hilbert space quantum mechanics
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Minimal-length quantum field theory: a first-principle approach
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Semiclassical resolution of the black hole singularity inspired in the minimal uncertainty approach
• Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
• Large amplitude mechanical coherent states and detection of weak nonlinearities in cavity optomechanics
• Muon accelerators -- Muon lifetime measurements as window to Planck scale physics
• GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce
• Weak equivalence principle and nonrelativistic limit of general dispersion relations
• Tidal effects based on GUP-induced effective metric
• Squeezing of light from Planck-scale physics
• Gravity and the Superposition Principle
• Towards new relativistic doubly $\kappa$-deformed D=4 quantum phase spaces
• The shadows of quantum gravity on Bell's inequality
• Towards quantum Mechanics on the curved cotangent bundle
• From minimal-length quantum theory to modified gravity
• Non-Heisenbergian quantum mechanics
• Observational constraints on the modified cosmology inspired by string T-duality
• Unitary equivalence in Generalized Uncertainty Principle theories
• A rotating GUP black hole: metric, shadow, and bounds on quantum parameters
• Product Entropic Uncertainty Principle
• Einstein crystals in Snyder and Snyder-de Sitter noncommutative backgrounds