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Dimensional Reduction in Quantum Gravity

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72 Pith papers citing it
693 external citations · Pith
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abstract

The requirement that physical phenomena associated with gravitational collapse should be duly reconciled with the postulates of quantum mechanics implies that at a Planckian scale our world is not 3+1 dimensional. Rather, the observable degrees of freedom can best be described as if they were Boolean variables defined on a two-dimensional lattice, evolving with time. This observation, deduced from not much more than unitarity, entropy and counting arguments, implies severe restrictions on possible models of quantum gravity. Using cellular automata as an example it is argued that this dimensional reduction implies more constraints than the freedom we have in constructing models. This is the main reason why so-far no completely consistent mathematical models of quantum black holes have been found. Essay dedicated to Abdus Salam.

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representative citing papers

Anti De Sitter Space And Holography

hep-th · 1998-02-20 · accept · novelty 10.0

Large-N limits of certain conformal field theories are equivalent to supergravity on AdS space, with CFT correlation functions obtained from the supergravity action evaluated on boundary asymptotics and operator dimensions equal to particle masses.

Holograms and Standard Models

hep-th · 2026-07-06 · conditional · novelty 7.0

DSSYK∞ at infinite temperature duals in the flat-space limit to the 't Hooft model, and holographic entropy at TB=∞ forbids quantum corrections to the vacuum energy.

Entanglement entropy of an acoustic black hole

cond-mat.quant-gas · 2026-05-28 · unverdicted · novelty 7.0

Entanglement entropy in an acoustic black hole scales linearly with subregion volume due to long-range correlations from horizon phonon pair production and is approximated by the thermal entropy of Hawking radiation.

A Celestial Description of Planar Super-Yang-Mills Theory

hep-th · 2026-05-25 · unverdicted · novelty 7.0

Extends celestial RSVW formalism to minitwistor superspace to build tree-level N^k-MHV leaf amplitudes in planar N=4 SYM and gives dynamical realizations via Wilson operators on algebraic cycles and a minitwistor sigma model.

Symmetry-Resolved Entanglement Entropy from Heat Kernels

hep-th · 2025-11-03 · unverdicted · novelty 7.0

An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.

Testing holographic duality in hyperbolic lattices

hep-lat · 2023-05-05 · unverdicted · novelty 7.0

Hyperbolic circuit experiment reproduces boundary CFT two-point functions and Ryu-Takayanagi entanglement entropy from bulk scalar field propagation.

Cosmology of fractional gravity

gr-qc · 2026-04-30 · unverdicted · novelty 7.0

Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

The mini-Page Curve in Cosmology

hep-th · 2026-07-09 · conditional · novelty 6.5

In 2D centaur geometries the entropy difference of a modular-conjugate Hawking-pair probe traces an inverse mini-Page curve that bottoms at τ≈β/8, marking when information begins to leave the cosmological horizon.

CFT Dual for Timelike Geodesic in Lorentzian dS

hep-th · 2026-06-27 · conditional · novelty 6.0

Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.

Holographic Dual of PT Symmetric BCFT

hep-th · 2026-06-17 · unverdicted · novelty 6.0

Holographic dual of PT-symmetric BCFT via imaginary scalar on EOW brane shows spontaneous PT breaking and enhanced entanglement entropy growth in quenched state.

Wasserstein Space of Quantum Chaos

hep-th · 2026-05-20 · unverdicted · novelty 6.0

Effective dimension of Wasserstein space for quantum energy eigenstates reduces with increasing chaos, capturing Lyapunov exponents and indicating scar states via optimal transport geometry.

Transition of vortex dipole dynamics in holographic superfluids

hep-th · 2026-05-19 · unverdicted · novelty 6.0 · 2 refs

Holographic model identifies a topological reconnection transition in vortex dipole dynamics below a critical size that suppresses mutual friction and shifts dissipation to bulk U-pipe contraction.

3d QFT IR divergences as UV divergences in 4d Holographic Cosmology

hep-th · 2026-05-15 · conditional · novelty 6.0

Two-loop 2- and 3-point functions of a massive 3d toy QFT with generalized conformal structure are log-finite in the deep IR, suggesting nonperturbative IR finiteness and, holographically, no cosmological singularity.

Observational constraints on Luciano-Saridakis entropic cosmology

astro-ph.CO · 2026-03-03 · unverdicted · novelty 6.0

First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble tension alleviation.

Geometric noise spectrum in interferometers

hep-th · 2026-01-25 · conditional · novelty 6.0

The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.

citing papers explorer

Showing 50 of 72 citing papers.

  • Anti De Sitter Space And Holography hep-th · 1998-02-20 · accept · none · ref 32

    Large-N limits of certain conformal field theories are equivalent to supergravity on AdS space, with CFT correlation functions obtained from the supergravity action evaluated on boundary asymptotics and operator dimensions equal to particle masses.

  • Holograms and Standard Models hep-th · 2026-07-06 · conditional · none · ref 2 · internal anchor

    DSSYK∞ at infinite temperature duals in the flat-space limit to the 't Hooft model, and holographic entropy at TB=∞ forbids quantum corrections to the vacuum energy.

  • The Observer World: A Cryptographic Extension of Impagliazzo's Five Worlds cs.CR · 2026-06-25 · unverdicted · none · ref 32 · internal anchor

    Adding an observational axis to Impagliazzo's five worlds reveals unconditional collapses such as P^{O_prof} = NP^{O_prof} ⊂ P that hold in all five worlds, showing observational blindness and computational hardness are independent.

  • Entanglement entropy of an acoustic black hole cond-mat.quant-gas · 2026-05-28 · unverdicted · none · ref 12 · internal anchor

    Entanglement entropy in an acoustic black hole scales linearly with subregion volume due to long-range correlations from horizon phonon pair production and is approximated by the thermal entropy of Hawking radiation.

  • A Celestial Description of Planar Super-Yang-Mills Theory hep-th · 2026-05-25 · unverdicted · none · ref 94 · internal anchor

    Extends celestial RSVW formalism to minitwistor superspace to build tree-level N^k-MHV leaf amplitudes in planar N=4 SYM and gives dynamical realizations via Wilson operators on algebraic cycles and a minitwistor sigma model.

  • Novel five-dimensional rotating Lifshitz black holes with electric and axionic charges hep-th · 2026-01-26 · conditional · none · ref 1 · internal anchor

    Exact 5D rotating Lifshitz black holes with electric and axionic charges were found and used to show that rotation weakens holographic superconductivity while higher z enhances it.

  • Symmetry-Resolved Entanglement Entropy from Heat Kernels hep-th · 2025-11-03 · unverdicted · none · ref 93 · internal anchor

    An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.

  • Testing holographic duality in hyperbolic lattices hep-lat · 2023-05-05 · unverdicted · none · ref 4 · internal anchor

    Hyperbolic circuit experiment reproduces boundary CFT two-point functions and Ryu-Takayanagi entanglement entropy from bulk scalar field propagation.

  • Cosmology of fractional gravity gr-qc · 2026-04-30 · unverdicted · none · ref 99

    Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

  • Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity hep-th · 2026-04-19 · unverdicted · none · ref 1

    Holographic spacetime emerges as the 1-Wasserstein space of quantum state distributions under optimal transport, matching AdS2 black hole geometry in the SYK model and identified with generalized Krylov complexity.

  • The mini-Page Curve in Cosmology hep-th · 2026-07-09 · conditional · none · ref 26 · internal anchor

    In 2D centaur geometries the entropy difference of a modular-conjugate Hawking-pair probe traces an inverse mini-Page curve that bottoms at τ≈β/8, marking when information begins to leave the cosmological horizon.

  • Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models hep-th · 2026-05-11 · conditional · none · ref 8 · 2 links · internal anchor

    A finite-dimensional regularized master field that minimizes residual loop equations reproduces exact Euclidean and perturbative Minkowski results for one- and two-matrix models.

  • Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories hep-th · 2026-07-01 · unverdicted · none · ref 13 · internal anchor

    Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.

  • CFT Dual for Timelike Geodesic in Lorentzian dS hep-th · 2026-06-27 · conditional · none · ref 1 · internal anchor

    Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.

  • Holographic Dual of PT Symmetric BCFT hep-th · 2026-06-17 · unverdicted · none · ref 40 · internal anchor

    Holographic dual of PT-symmetric BCFT via imaginary scalar on EOW brane shows spontaneous PT breaking and enhanced entanglement entropy growth in quenched state.

  • $\boldsymbol{T\overline{T}}$ correlators from tensionless strings hep-th · 2026-06-10 · unverdicted · none · ref 1 · internal anchor

    Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.

  • Traversable Wormholes Supported by Entropy-Inspired Effective Matter Sectors gr-qc · 2026-05-29 · unverdicted · none · ref 59 · internal anchor

    Modified entropy profiles from Barrow, Tsallis, Kaniadakis, logarithmic, and exponential entropies can serve as effective sources for traversable wormholes.

  • Wasserstein Space of Quantum Chaos hep-th · 2026-05-20 · unverdicted · none · ref 3 · internal anchor

    Effective dimension of Wasserstein space for quantum energy eigenstates reduces with increasing chaos, capturing Lyapunov exponents and indicating scar states via optimal transport geometry.

  • Transition of vortex dipole dynamics in holographic superfluids hep-th · 2026-05-19 · unverdicted · none · ref 10 · 2 links · internal anchor

    Holographic model identifies a topological reconnection transition in vortex dipole dynamics below a critical size that suppresses mutual friction and shifts dissipation to bulk U-pipe contraction.

  • 3d QFT IR divergences as UV divergences in 4d Holographic Cosmology hep-th · 2026-05-15 · conditional · none · ref 1 · internal anchor

    Two-loop 2- and 3-point functions of a massive 3d toy QFT with generalized conformal structure are log-finite in the deep IR, suggesting nonperturbative IR finiteness and, holographically, no cosmological singularity.

  • Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons hep-th · 2026-03-31 · unverdicted · none · ref 32 · internal anchor

    Brick-wall spectra in de Sitter space show long-range chaotic signatures via spectral form factor and Krylov complexity even when conventional level repulsion is absent.

  • Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model hep-th · 2026-03-29 · reject · none · ref 10 · internal anchor

    The paper proposes that condensate competition in the 2d Gross-Neveu model generates an emergent AdS₃ bulk, a higher-spin tower, D1-branes, and linearized Einstein gravity with G₃ = ℓ_AdS/4πN².

  • Observational constraints on Luciano-Saridakis entropic cosmology astro-ph.CO · 2026-03-03 · unverdicted · none · ref 89 · internal anchor

    First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble tension alleviation.

  • Geometric noise spectrum in interferometers hep-th · 2026-01-25 · conditional · none · ref 9 · internal anchor

    The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.

  • Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$ hep-th · 2025-12-31 · unverdicted · none · ref 12 · internal anchor

    A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.

  • Networks as the fundamental constituents of the universe gr-qc · 2025-12-19 · unverdicted · none · ref 39 · internal anchor

    Binary relations on random networks constitute the universe, with space and matter as phases of a statistical model whose Ollivier-Ricci curvature produces emergent 3D geometry, Einstein equations, and relativistic quantum mechanics at large scales.

  • No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$ hep-th · 2025-11-30 · unverdicted · none · ref 3 · internal anchor

    The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but nontrivial observer Fock spaces.

  • Searching for emergent spacetime in spin glasses hep-th · 2025-10-23 · unverdicted · none · ref 1 · internal anchor

    Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk causal structure.

  • Radiation in Fluid/Gravity and the Flat Limit hep-th · 2025-08-02 · unverdicted · none · ref 1 · internal anchor

    Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

  • QFT in Klein space hep-th · 2025-05-22 · unverdicted · none · ref 1 · internal anchor

    Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.

  • Modular Channels, Thermal Filtering and the Spectral Emergence of Spacetime gr-qc · 2025-04-29 · unverdicted · none · ref 1 · internal anchor

    Modular channels induce universal thermal filtering that explains Unruh and Page phenomena, reinterprets entanglement first law as Clausius relation to derive Einstein equations, and proposes MCFC linking causal screen area to filtered information storage.

  • AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral hep-th · 2025-04-15 · unverdicted · none · ref 11 · internal anchor

    The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.

  • Carrollian Perspective on Celestial Holography hep-th · 2022-02-09 · unverdicted · none · ref 1 · internal anchor

    A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.

  • Universal Entanglement and an Information-Complete Quantum Theory physics.gen-ph · 2019-07-28 · unverdicted · none · ref 72 · internal anchor

    Proposes the information-complete quantum theory (ICQT) as a framework for quantum gravity where universal spacetime-matter entanglement serves as the sole information carrier without classical systems.

  • Unitarity Entropy Bound: Solitons and Instantons hep-th · 2019-07-17 · unverdicted · none · ref 16 · internal anchor

    Solitons and instantons saturate a unitarity-derived entropy bound with entropy equal to their area, providing a non-gravitational analog of black-hole entropy.

  • Molien--Weyl Singlet Counting and BFSS$_2$--Factorization in Gaussian Matrix QM hep-th · 2026-05-06 · unverdicted · none · ref 4

    The very-low-temperature bosonic singlet spectrum in BFSS_{d+1} is controlled by d(d+1)/2 quadratic Gram operators Tr(X_a X_b), with an exact BFSS_3 = (BFSS_2)^3 factorization at (d,N)=(2,2).

  • Carrollian ABJM: Fermions and Supersymmetry hep-th · 2026-04-24 · unverdicted · none · ref 1

    The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.

  • Bounding relative entropy for non-unitary excitations in quantum field theory math-ph · 2026-04-20 · unverdicted · none · ref 17

    Convexity of non-commutative L^p norms yields bounds on relative entropy for arbitrary excitations of faithful states in general von Neumann algebras, with uniform boundedness proven for single-particle states of the chiral current.

  • Symmetry-resolved Krylov Complexity and the Uncoloured Tensor Model hep-th · 2026-04-07 · unverdicted · none · ref 3

    In the Uncoloured Tensor Model, symmetry-resolved Krylov complexity matches the full operator complexity in some charge subspaces but not others, with the subspace-averaged value bounded above by the full-space value within computational limits.

  • Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D hep-th · 2026-07-09 · conditional · none · ref 4 · internal anchor

    Gram/Wishart/Stiefel reformulation of N=2 large-d BFSS/BMN endpoints absorbs -A into a shifted mass and recovers the universal continuum -2d DΛ-channel after non-polynomial transverse completion.

  • Equivariant Interpolations in Topological Holography hep-th · 2026-06-23 · unverdicted · none · ref 1 · internal anchor

    Proposes solvable interpolations between small and large equivariant parameter regimes in Gromov-Witten theory on P1 as analogue for AdS3/CFT2 transitions, plus string theory embedding of P1 x C2 correspondence and Jack polynomial analysis of scaling limit.

  • The Entanglement Wedge Polygon hep-th · 2026-06-19 · conditional · none · ref 1 · internal anchor

    The entanglement wedge polygon volume is proposed as a holographic probe of multipartite entanglement; in AdS3 it is topologically quantized, and a mixed-state generalization is constructed.

  • Holographic complexity of de-Sitter black holes hep-th · 2026-06-02 · unverdicted · none · ref 1 · internal anchor

    In SdS black hole holography, CV and CV2.0 complexities grow linearly while CA growth vanishes due to finite action, with matching rates between static patch and dS/CFT schemes.

  • Endpoint formulation and Molien--Weyl structure for the \(N=2\), large--\(d\) BFSS/BMN models hep-th · 2026-05-25 · unverdicted · none · ref 4 · internal anchor

    Establishes equivalence between endpoint and Molien-Weyl formulations for large-d BFSS models on the lattice and derives finite continuum D-channel via a toy holonomy potential model.

  • More on Bulk Local State Reconstruction in Flat/Carr CFT hep-th · 2026-03-12 · unverdicted · none · ref 1 · internal anchor

    Bulk local states are built in flat holography via induced representations, with a dual basis resolving 3D bra-ket scaling issues and a tilde basis enabling explicit constructions in higher dimensions that recover the massive propagator.

  • Holographic pressure and volume for black holes hep-th · 2026-02-04 · unverdicted · none · ref 30 · internal anchor

    Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.

  • Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature gr-qc · 2026-01-31 · conditional · none · ref 52 · internal anchor

    Applying Jacobson's thermodynamic derivation to general non-Riemannian spacetimes selects a unique Einstein-Hilbert-plus-torsion-vector-squared theory in the torsion-only case, and yields no action-based theory when non-metricity is present.

  • Entanglement Entropy and Thermodynamics of Dynamical Black Holes hep-th · 2025-09-06 · unverdicted · none · ref 13 · internal anchor

    In f(R) theories, the replica-method gravitational entropy computed on the apparent horizon matches the Hollands-Wald-Zhang dynamical black hole entropy and satisfies the first law, while the event horizon does not; this lets the generalized second law be reinterpreted as matter entanglement across

  • Minkowski Space holography and Radon transform hep-th · 2025-09-05 · unverdicted · none · ref 1 · internal anchor

    Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.

  • UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox hep-th · 2024-11-02 · unverdicted · none · ref 78 · internal anchor

    Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.