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.
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Dimensional Reduction in Quantum Gravity
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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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hep-th 44 gr-qc 16 astro-ph.CO 2 physics.gen-ph 2 physics.hist-ph 2 quant-ph 2 cond-mat.quant-gas 1 cs.CR 1 hep-lat 1 math-ph 1roles
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background 24representative citing papers
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.
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 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.
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.
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.
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.
Hyperbolic circuit experiment reproduces boundary CFT two-point functions and Ryu-Takayanagi entanglement entropy from bulk scalar field propagation.
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.
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.
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.
A finite-dimensional regularized master field that minimizes residual loop equations reproduces exact Euclidean and perturbative Minkowski results for one- and two-matrix models.
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.
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 via imaginary scalar on EOW brane shows spontaneous PT breaking and enhanced entanglement entropy growth in quenched state.
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.
Modified entropy profiles from Barrow, Tsallis, Kaniadakis, logarithmic, and exponential entropies can serve as effective sources for traversable wormholes.
Effective dimension of Wasserstein space for quantum energy eigenstates reduces with increasing chaos, capturing Lyapunov exponents and indicating scar states via optimal transport geometry.
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.
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.
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.
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.
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.
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
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Anti De Sitter Space And Holography
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.
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Holograms and Standard Models
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.
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The Observer World: A Cryptographic Extension of Impagliazzo's Five Worlds
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.
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Entanglement entropy of an acoustic black hole
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.
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A Celestial Description of Planar Super-Yang-Mills Theory
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.
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Novel five-dimensional rotating Lifshitz black holes with electric and axionic charges
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.
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Symmetry-Resolved Entanglement Entropy from Heat Kernels
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.
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Testing holographic duality in hyperbolic lattices
Hyperbolic circuit experiment reproduces boundary CFT two-point functions and Ryu-Takayanagi entanglement entropy from bulk scalar field propagation.
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Cosmology of fractional gravity
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.
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Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity
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.
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The mini-Page Curve in Cosmology
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.
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A finite-dimensional regularized master field that minimizes residual loop equations reproduces exact Euclidean and perturbative Minkowski results for one- and two-matrix models.
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Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories
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.
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CFT Dual for Timelike Geodesic in Lorentzian dS
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.
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Holographic Dual of PT Symmetric BCFT
Holographic dual of PT-symmetric BCFT via imaginary scalar on EOW brane shows spontaneous PT breaking and enhanced entanglement entropy growth in quenched state.
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$\boldsymbol{T\overline{T}}$ correlators from tensionless strings
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.
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Traversable Wormholes Supported by Entropy-Inspired Effective Matter Sectors
Modified entropy profiles from Barrow, Tsallis, Kaniadakis, logarithmic, and exponential entropies can serve as effective sources for traversable wormholes.
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Wasserstein Space of Quantum Chaos
Effective dimension of Wasserstein space for quantum energy eigenstates reduces with increasing chaos, capturing Lyapunov exponents and indicating scar states via optimal transport geometry.
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Transition of vortex dipole dynamics in holographic superfluids
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.
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3d QFT IR divergences as UV divergences in 4d Holographic Cosmology
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.
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Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons
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.
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Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model
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.
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Observational constraints on Luciano-Saridakis entropic cosmology
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.
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Geometric noise spectrum in interferometers
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.
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Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$
A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.
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Networks as the fundamental constituents of the universe
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.
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No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$
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.
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Searching for emergent spacetime in spin glasses
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.
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Radiation in Fluid/Gravity and the Flat Limit
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.
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QFT in Klein space
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.
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Modular Channels, Thermal Filtering and the Spectral Emergence of Spacetime
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.
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AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral
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.
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Carrollian Perspective on Celestial Holography
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.
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Universal Entanglement and an Information-Complete Quantum Theory
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.
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Unitarity Entropy Bound: Solitons and Instantons
Solitons and instantons saturate a unitarity-derived entropy bound with entropy equal to their area, providing a non-gravitational analog of black-hole entropy.
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Molien--Weyl Singlet Counting and BFSS$_2$--Factorization in Gaussian Matrix QM
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).
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Carrollian ABJM: Fermions and Supersymmetry
The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
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Bounding relative entropy for non-unitary excitations in quantum field theory
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.
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Symmetry-resolved Krylov Complexity and the Uncoloured Tensor Model
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.
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Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D
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.
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Equivariant Interpolations in Topological Holography
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.
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The Entanglement Wedge Polygon
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.
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Holographic complexity of de-Sitter black holes
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.
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Endpoint formulation and Molien--Weyl structure for the \(N=2\), large--\(d\) BFSS/BMN models
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.
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More on Bulk Local State Reconstruction in Flat/Carr CFT
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.
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Holographic pressure and volume for black holes
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.
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Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature
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.
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Entanglement Entropy and Thermodynamics of Dynamical Black Holes
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
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Minkowski Space holography and Radon transform
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.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
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.