GUP/BEB correspondence

Abstract

We develop a fully expectation--value formulation of the GUP/Bekenstein--bound (BEB) correspondence, building on \cite{Ali:2024tbd,Ali:2022ckm,Ali:2022ulp}. Using Dirac's commutator--Poisson equivalence, the BEB supplies an information backreaction on the GUP--deformed bracket; at saturation the residual uncertainty in a sector cancels, enabling \emph{operational} simultaneity of conjugate expectations and resolving the EPR tension without hidden variables. A single self-consistency then fixes intrinsic confinement scales: the full (linear$+$quadratic) GUP reproduces the hydrogen Bohr radius (electron) and the proton charge radius (hydrogen nucleus). The same correspondence predicts an information--controlled crossover from a short--distance complex (evanescent) regime to an emergent real (Lorentzian) regime, with a symmetry flow from complex $SU(4)$ frames to $SO(1,3)$; under scale transmutation the short--distance $SU(4)$ is repurposed as the Pati--Salam $SU(4{)}_c$. Incorporating exterior--field entropy at horizons defines an effective Planck constant consistent with generalized--entropy extremality, tying entropy--area physics directly to the GUP at the expectation level.

revtex4, 25 pages, Published in Modern Physics Letters A

References in corpus (67)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Lorentz invariance with an invariant energy scale
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• 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
• A proposal for testing Quantum Gravity in the lab
• Minimal Length Uncertainty Relation and Hydrogen Atom
• Inflation as a Probe of Short Distance Physics
• Quantum Uncertainty in Doubly Special Relativity
• Gravitational tests of the Generalized Uncertainty Principle
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
• Imprints of Short Distance Physics On Inflationary Cosmology
• Probing deformed commutators with macroscopic harmonic oscillators
• Noncommutative Quantum Gravity
• Extended uncertainty principle and the geometry of (anti)-de Sitter space
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Composite system in deformed space with minimal length
• Prospects of Inflation
• Remarks on Tachyon Driven Cosmology
• Holographic Cosmology 3.0
• Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Gauge Theories under Incorporation of a Generalized Uncertainty Principle
• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• Planck scale effects on some low energy quantum phenomena
• Beyond the Spectral Standard Model: Emergence of Pati-Salam Unification
• Minimum Length Cutoff in Inflation and Uniqueness of the Action
• Extended Uncertainty Principle Black Holes
• How does the entropy/information bound work ?
• Self-Completeness and the Generalized Uncertainty Principle
• 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
• Constraining the generalized uncertainty principle with cold atoms
• Generalized Dirac structure beyond the linear regime in graphene
• Holographic Bound From Second Law of Thermodynamics
• On Quantum Gravity Tests with Composite Particles
• Uses of Complex Metrics in Cosmology
• Towards a Cosmology with Minimal Length and Maximal Energy
• Bounds on GUP parameters from GW150914 and GW190521
• Discreteness of Space from GUP in a Weak Gravitational Field
• Perturbative Quantum Gravity on Complex Spacetime
• Short Distance Physics of the Inflationary de Sitter Universe
• Hunting Quantum Gravity with Analogs: the case of graphene
• Testing Generalised Uncertainty Principles through Quantum Noise
• Discreteness of Space from GUP in Strong Gravitational Fields
• Bekenstein bound from the Pauli principle
• Universality of minimal length
• Quantum tunneling from paths in complex time
• Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
• Modified commutation relationships from the Berry-Keating program
• Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
• Minimal Length, Nuclear Matter, and Neutron Stars
• Generalized uncertainty principle and stochastic gravitational wave background spectrum
• Generalized Uncertainty Principle theories and their classical interpretation
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Theoretical and Observational Implications of Planck's Constant as a Running Fine Structure Constant
• Discreteness of Space from Anisotropic Spin-Orbit Interaction
• Rainbow Spacetime from a Nonlocal Gravitational Uncertainty Principle
• Complex Riemannian Spacetime, Removal of Black Hole Singularities And Black Hole Paradoxes
• Testing quantum gravity with dilute dipolar Bose gases
• Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
• Many-body probes for quantum features of spacetime
• Complexifying the spacetime algebra by means of an extra timelike dimension: Pin, Spin and algebraic spinors