Thermodynamics of Spacetime: The Einstein Equation of State

Abstract

The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with $\delta Q$ and $T$ interpreted as the energy flux and Unruh temperature seen by an accelerated observer just inside the horizon. This requires that gravitational lensing by matter energy distorts the causal structure of spacetime in just such a way that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state. This perspective suggests that it may be no more appropriate to canonically quantize the Einstein equation than it would be to quantize the wave equation for sound in air.

8 pages, 1 figure. Revised version has core unchanged but paper rewritten and expanded to clarify the reasoning and to emphasize some points. One figure added

References in corpus (1)

• Increase of Black Hole Entropy in Higher Curvature Gravity

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• Friedmann equations and emergence of cosmic space
• Quantum computation is the unique reversible circuit model for which bits are balls
• Low frequency analogue Hawking radiation: The Korteweg-de Vries model
• The surface density of holographic entropy
• Thermodynamical description of the interacting new agegraphic dark energy
• Holographic dark energy in modified Barrow cosmology
• Logarithmic entropy--corrected holographic dark energy with non--minimal kinetic coupling
• Kahler-Einstein metrics emerging from free fermions and statistical mechanics
• Entropic force and its cosmological implications
• Magnetically charged AdS black holes and Joule-Thomson expansion
• Emergence of spaces and the dynamic equations of FRW universes in the $f(R)$ theory and deformed Hořava-Lifshitz theory
• Emergence of spacetime dynamics in entropy corrected and braneworld models
• Locality and entanglement in bandlimited quantum field theory
• Thermodynamic Origin of the Null Energy Condition
• Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravity
• Generalized Vaidya Solutions and Misner-Sharp mass for $n$-dimensional massive gravity
• A Nonlocal Approach to the Cosmological Constant Problem
• Finite entanglement entropy from the zero-point-area of spacetime
• The holographic screen at low temperatures
• On thermodynamics second law in the modified Gauss Bonnet gravity
• Higher Curvature Gravity and the Holographic fluid dual to flat spacetime
• Extremal black holes, Holography & Coarse graining
• Entanglement Dynamics in 2D CFT with Boundary: Entropic origin of JT gravity and Schwarzian QM
• An interacting New Holographic Dark Energy in the framework of fractal cosmology
• Quantum Work and Information Geometry of a Quantum Myers-Perry Black Hole
• Does the second law hold at cosmic scales?
• Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS
• Non-equilibrium thermodynamics of gravitational screens
• Entanglement entropy of excited states in conformal perturbation theory and the Einstein equation
• Generalized information entropies depending only on the probability distribution
• Infinite Shannon entropy
• Emergent gravitational dynamics in relativistic Bose--Einstein condensate
• Entropy of a subalgebra of observables and the geometric entanglement entropy
• Dark matter as Planck relics without too exotic hypotheses
• Testing Verlinde's emergent gravity in early-type galaxies
• Thermodynamics of FRW Universe: Heat Engine
• Gravity from Quantum Information
• The case for a Casimir cosmology
• The Friedmann equation in modified entropy-area relation from entropy force
• AdS black holes in the framework of nonlinear electrodynamics, thermodynamics and Joule--Thomson expansion
• Towards a Holographic Description of Inflation and Generation of Fluctuations from Thermodynamics
• Holographic Theory of Accelerated Observers, the S-matrix, and the Emergence of Effective Field Theory
• Areas and entropies in BFSS/gravity duality
• Quantum Corrections to the Thermodynamics of Black Branes
• Gravitation in flat spacetime from entanglement
• Thermodynamics and galactic clustering with a modified gravitational potential
• Coupling and thermal equilibrium in general-covariant systems
• Entropic force approach in a noncommutative charged black hole and the equivalence principle
• Entanglement of Harmonic Systems in Squeezed States
• Deformation of Codimension-2 Surface and Horizon Thermodynamics
• Ten reasons why a thermalized system cannot be described by a many-particle wave function
• Brans-Dicke Theory and Thermodynamical Laws on Apparent and Event Horizons
• New perspective on thermodynamics of spacetime: The emergence of unimodular gravity and the equivalence of entropies
• A Study of Generalized Second Law of Thermodynamics in Magnetic Universe in the light of Non-Linear Electrodynamics
• Thermodynamics of Lemaitre-Tolman-Bondi Model
• Validity of the Generalized Second Law of Thermodynamics of the Universe Bounded by the Event Horizon in Brane Scenario
• A No-go Theorem Prohibiting Inflation in the Entropic Force Scenario
• Scalar Field Contribution to Rotating Black Hole Entropy
• Einstein Equations and MOND Theory from Debye Entropic Gravity
• Reassessing the link between B-modes and inflation
• Gravitationally influenced particle creation models and late-time cosmic acceleration
• First law of thermodynamics for dynamical apparent horizons and the entropy of Friedmann universes
• Modified entropies, their corresponding Newtonian forces, potentials, and temperatures
• Charge Conservation, Entropy Current, and Gravitation
• Horizon Thermodynamics from Einstein's Equation of State
• Thermodynamics in Modified Gravity Theories
• Noncommutative Geometry Inspired Entropic Inflation
• Thermodynamical description of the ghost dark energy model
• More on the first-order thermodynamics of scalar-tensor and Horndeski gravity
• Fluid nature constrains Horndeski gravity
• A proposal for analyzing the classical limit of kinematic loop gravity
• Horizon Thermodynamics and Gravitational Field Equations in Quasi-Topological Gravity
• Modified cosmology from quantum deformed entropy
• Universality of minimal length
• Quantum phenomenological gravitational dynamics: A general view from thermodynamics of spacetime
• Computing spacetime
• Modified Hawking temperature and entropic force: a prescription in FRW model
• Tests For Maximum Force and Maximum Power
• The effects of q-statistics on cosmology
• The universal viscosity to entropy density ratio from entanglement
• Holographic Theories of Inflation and Fluctuations
• Modified Friedmann Equations From Debye Entropic Gravity
• Coherences of accelerated detectors and the local character of the Unruh effect
• Schwarzschild solution as a result of thermodynamics
• Viability of Variable Generalised Chaplygin gas - a thermodynamical approach
• Noether Current, Black Hole Entropy and Spacetime Torsion
• Barrow and Tsallis entropies after the DESI DR2 BAO data
• Statistical mechanics of gravitons in a box and the black hole entropy
• Maximum force and cosmic censorship
• Lectures on Holographic Space Time
• Nonhomogeneous Cooling, Entropic Gravity and MOND Theory
• Emergent Universe with Interacting fluids and Generalized Second Law of Thermodynamics
• Quasilocal energy in modified gravity
• Inflation Based on the Tsallis Entropy
• Thermodynamics of Evolving Lorentzian Wormholes at Apparent Horizon in $f(R)$ Theory of Gravity
• Tunneling of Massive/Massless Bosons From the Apparent Horizon of FRW Universe
• Generalized Lagrangian Path approach to manifestly-covariant quantum gravity theory
• First Principle Study of Gravitational Pressure and Thermodynamics of FRW Universe
• Area, Entanglement Entropy and Supertranslations at Null Infinity
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• Gravity from Spacetime Thermodynamics
• Complete Einstein equation from the generalized First Law of Entanglement
• Thermodynamics of Anomaly-Driven Cosmology
• Thermodynamics of black holes featuring primary scalar hair
• On the Space-Time Uncertainty Principle and Holography
• Modified Dark Matter: Relating Dark Energy, Dark Matter and Baryonic Matter
• Holographic Space-time and Newton's Law
• Holographic and Gravity-Thermodynamic Approaches in Entropic Cosmology: Bayesian Assessment using late-time Data
• Quantum Thermodynamics of an M2-M5 Brane System
• Quantum Foam, Gravitational Thermodynamics, and the Dark Sector
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Emergence of space and the general dynamic equation of Friedmann-Robertson-Walker universe
• The generalized second law in chameleon cosmology
• Analogue Models for Emergent Gravity
• Asymptotic states of accelerated detectors and universality of the Unruh effect
• $q$-Deformed Einstein equations from entropic force
• Peculiar thermal states in the first-order thermodynamics of gravity
• Phase Space Analysis and Thermodynamics of Interacting Umami Chaplygin gas in FRW Universe
• $f(R)$-Modified Gravity, Wald Entropy, and the Generalized Uncertainty Principle
• Phase space analysis of the bouncing universe with stringy effects
• General proof of the entropy principle for self-gravitating fluid in static spacetimes
• Dynamical horizon entropy and equilibrium thermodynamics of generalized gravity theories
• Thermodynamics of Friedmann Equation and Masslike Function in General Braneworld
• Friedmann equations from nonequilibrium thermodynamics of the Universe: A unified formulation for modified gravity
• Supersymmetry Breaking and the Cosmological Constant
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• From thermodynamics to the solutions in gravity theory
• Generalized entropies and the expansion law of the universe
• Emergent modified gravity: The perfect fluid and gravitational collapse
• Path Integrals for Causal Diamonds and the Covariant Entropy Principle
• The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
• Clausius entropy for arbitrary bifurcate null surfaces
• From black holes to emergent gravity
• Modified Newton's Law of Gravitation Due to Minimal Length in Quantum Gravity
• Generalized Unruh effect: A potential resolution to the black hole information paradox
• Entropy of causal diamond ensembles
• Newtonian gravity as an entropic force: Towards a derivation of G
• Fluctuating Relativistic hydrodynamics from Crooks theorem
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Thermodynamics and decay of de Sitter vacuum
• Thermodynamical Cost of Accessing Quantum Information
• Inflationary universe in the presence of a minimal measurable length
• Quantum particle statistics on the holographic screen leads to Modified Newtonian Dynamics (MOND)
• Rational nonlinear electrodynamics of AdS black holes and extended phase space thermodynamics
• Expansion Law From First Law of Thermodynamics
• Cosmological equations and Thermodynamics on Apparent Horizon in Thick Braneworld
• Emergent gravitational dynamics from multi-BEC hydrodynamics?
• Emergence of fractal cosmic space from fractional quantum gravity
• Modified Friedmann equations from fractional entropy
• Gravitational Instanton for Black Hole Radiation
• Deriving the gravitational field equation and horizon entropy for arbitrary diffeomorphism-invariant gravity from spacetime solid
• Scale vs Conformal invariance from Entanglement Entropy
• Revisiting the black hole entropy and the information paradox
• The Good, the Bad, and the Ugly of Gravity and Information
• Interferometric Constraints on Spacelike Coherent Rotational Fluctuations
• Thermodynamic of universe with a varying dark energy component
• Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold
• Thermodynamical properties of dark energy with the equation of state
• Modular Theory, Non-Commutative Geometry and Quantum Gravity
• First law of thermodynamics on holographic screens in entropic force frame
• The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
• From the Komar Mass and Entropic Force Scenarios to the Einstein Field Equations on the Ads Brane
• Testing Emergent Gravity on Galaxy Cluster Scales
• Scale-dependent slowly rotating black holes with flat horizon structure
• Lagrangian formulation of the Tsallis entropy
• Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
• A note on the AdS/CFT correspondence and the nature of spacetime in quantum gravity
• Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity
• Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
• Past-directed scalar field gradients and scalar-tensor thermodynamics
• Emergence of cosmic space and its connection with thermodynamic principles
• Quantum Thermodynamics of a Quantum Sized AdS Black Hole
• Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory
• Planckian discreteness as seeds for cosmic structure
• Modified Friedmann equations from DSR-GUP
• The evolution of the FRW universe with decaying metastable dark energy --- a dynamical system analysis
• Effects of bosonic and fermionic $q$-deformation on the entropic gravity
• An Entropy-Area Law for Neutron Stars Near the Black Hole Threshold
• Symmetric configurations highlighted by collective quantum coherence
• Holographic fluctuations and the principle of minimal complexity
• Higher derivative gravity: field equation as the equation of state
• Exploring the Nature of Gravity
• Gravity and On-Shell Probe Actions
• Emergent Universe in the Braneworld Scenario
• Black holes and thermodynamics - The first half century
• Gravitational Energy, Local Holography and Non-equilibrium Thermodynamics
• MOND cosmology from entropic force
• The generalized second law for the interacting new agegraphic dark energy in a non-flat FRW universe enclosed by the apparent horizon
• Braneworld Black Holes and Entropy Bounds
• Expanding Universe: slowdown or speedup?
• A generalized mass-to-horizon relation: a new global approach to entropic cosmologies and its connection to $\Lambda$CDM
• Apparent dark matter as a non-local manifestation of emergent gravity
• Gravity as an emergent phenomenon: a GFT perspective
• Two Roads to the Null Energy Condition
• The thermodynamics of self-gravitating systems in equilibrium is holographic
• Investigation of generalised uncertainty principle effects on FRW cosmology
• On the Limits of Effective Quantum Field Theory: Eternal Inflation, Landscapes, and Other Mythical Beasts
• Planck Stars from a Scale-dependent Gravity theory
• Quantum no-singularity theorem from geometric flows
• Complementarity and causal propagation of decoherence by measurement in relativistic quantum field theories
• Barrow entropic Quintessence and Dilation dark energy Models with Generalized HDE cut-off
• Does entropic force always imply the Newtonian force law?
• Two new approaches to the anomalous limit of Brans-Dicke to Einstein gravity
• Experimental search for a Lorentz invariant spacetime granularity: Possibilities and bounds
• A note on the connection between the universal relaxation bound and the covariant entropy bound
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• The quantum geometric limit
• Quantum Surface and Intertwiner Dynamics in Loop Quantum Gravity
• Validity of Generalized Second Law of Thermodynamics in the Logamediate and Intermediate scenarios of the Universe
• Electromagnetism as an emergent phenomenon: a step-by-step guide
• Holographic complexity for Lifshitz system
• Spatial Curvature and Thermodynamics
• Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes
• A stable flat entropy-corrected FRW universe
• Rainbow gravity corrections to the entropic force
• Thermodynamics in the universe described by the emergence of the space and the energy balance relation
• Cosmological horizon entropy and generalised second law for flat Friedmann Universe
• Accelerated electron thermometer: observation of 1D Planck radiation
• Machian Origin of the Entropic Gravity and Cosmic Acceleration
• Gravity from thermodynamics: optimal transport and negative effective dimensions
• Maximum Entropy Principle for Self-gravitating Perfect Fluid in Lovelock Gravity
• Bouncing universe from a modified dispersion relation
• Thermodynamics of Modified Chaplygin Gas and Tachyonic Field
• SAdS black holes and spacetime atoms: a heuristic approach
• Thermodynamics of $f(R)$ Gravity with Disformal Transformation
• Spectrum and Statistical Entropy of AdS Black Holes
• Newtonian Semiclassical Gravity in the Ghirardi-Rimini-Weber Theory with Matter Density Ontology
• Local Approach to Hawking Radiation
• Screening Mechanism and Late-time Cosmology: Role of a Chameleon-Brans-Dicke Scalar Field
• The cosmological constant: A lesson from the effective gravity of topological Weyl media
• Dynamics of Gravity as Thermodynamics on the Spherical Holographic Screen
• Holographic dark energy and validity of the generalized second law of thermodynamics in the dgp brane world
• Unified First Law and Thermodynamics of Dynamical Black Hole in n-dimensional Vaidya Spacetime
• Black hole as an Information Eraser
• New holographic dark energy model inspired by the DGP braneworld
• Holographic Space-time, Newton's Law and the Dynamics of Black Holes
• Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity
• Gravity from the entropy of light
• Inertial non-vacuum states viewed from the Rindler frame
• Black Hole Thermodynamics, Casimir Effect and Induced Gravity
• General relativity as the equation of state of spin foam
• Towards a theory of quantum gravity from neural networks
• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Conformal geometrodynamics regained: gravity from duality
• Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation
• When is S=A/4?
• Near horizon gravitational charges
• Varying constants entropic--$\Lambda$CDM cosmology
• Holographic dark energy in Barrow cosmology with Granda-Oliveros IR cutoff
• Is gravity entropic force?
• Once more: gravity is not an entropic force
• Black String in Massive Gravity
• Schrödinger Connections: From Mathematical Foundations Towards Yano-Schrödinger Cosmology
• Newtonian Cosmology with a Quantum Bounce
• Thermodynamics of Evolving Lorentzian Wormhole at Apparent and Event Horizons
• Holographic Geometry and Noise in Matrix Theory
• No Firewalls in Holographic Space-Time or Matrix Theory
• Holographic Dark Energy Interacting with Two Fluids and Validity of Generalized Second Law of Thermodynamics
• An Exploration of the Black Hole Entropy via the Weyl Tensor
• Influence on the entropic force by the virtual degree of freedom on the holographic screen
• On The Temporal Evolution of Particle Production in $f(T)$ Gravity
• Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion
• Non-equilibrium Landauer Transport Model for Hawking radiation from a Black Hole
• Rényi Holographic Dark Energy
• Cosmological FLRW phase transitions and micro-structure under Kaniadakis statistics
• Tsallis uncertainty
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• Dimensionless physics: continuation
• Nonlocal Entanglement and Directional Correlations of Primordial Perturbations on the Inflationary Horizon
• Entropy Balance Equation of Spacetime Thermodynamics in f(R) Gravity
• Entropy and statefinder diagnosis in chameleon cosmology
• Thermodynamics of spacetime and unimodular gravity
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
• Universe Bounded By Event Horizon: A Non equilibrium Thermodynamic Prescription
• First Law of Thermodynamics and Emergence of Cosmic Space in a Non-Flat Universe
• Field equations from a surface term
• Generalized Holographic Equipartition for Friedmann-Robertson-Walker Universes
• Emergent gravity from relatively local Hamiltonians and a possible resolution of the black hole information puzzle
• Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
• Gravitational metamaterials from optical properties of spacetime media
• Entropy, holography and the second law
• Cosmic Variation of Proton to Electron Mass Ratio with an interacting Higgs Scalar Field
• A Study of Universal Thermodynamics in Brane World Scenario
• An equation of state in the limit of high densities
• Entropic derivation of F=ma for circular motion
• Thermodynamics on the Maximally Symmetric Holographic Screen and Entropy from Conical Singularities
• The Effects of Minimal Length in Entropic Force Approach
• Deformed Horava-Lifshitz Cosmology and Stability of Einstein Static Universe
• The irreversibility of relativistic time-dilation
• Nonlinearity effect on Joule-Thomson expansion of Einstein-power-Yang-Mills AdS black hole
• Note on Possible Emergence Time of Newtonian Gravity
• Combined Lorentz symmetry: lessons from superfluid 3He
• Testing Modified Dark Matter with Galaxy Clusters: Does Dark Matter know about the Cosmological Constant?
• The hidden horizon and black hole unitarity
• Scalar-Tensor Theory of Gravity and Generalized Second Law of Thermodynamics on the Event Horizon
• Is Holographic Entropy and Gravity the result of Quantum Mechanics?
• Galactic Clustering Under Power-law Modified Newtonian Potential
• Scale Factor Duality for Conformal Cyclic Cosmologies
• The scaling of black hole entropy in loop quantum gravity
• Cosmological Constraints on Entropic Cosmology with Matter Creation
• Holographic entanglement thermodynamics for higher dimensional charged black hole
• Fluid/gravity correspondence for massive gravity
• Emergent Cosmos in Einstein-Cartan Theory
• On the statistical-mechanical meaning of the Bousso bound
• The thermal entropy density of spacetime
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• On Coupling NEC-Violating Matter to Gravity
• Exotic Rotational Correlations in Quantum Geometry
• Entropic force in black hole binaries and its Newtonian limits
• Noncommutative Heisenberg algebra in the neighbourhood of a generic null surface
• Statistical Measures of Planck Scale Signal Correlations in Interferometers
• Quasi-local energy-momentum and two-surface characterization of the pp-wave spacetimes
• Equation of state of a laser cooled gas
• Bouncing universe of entropy-corrected Friedmann equations
• Quantum computational complexity, Einstein's equations and accelerated expansion of the Universe
• Komar energy and Smarr formula for noncommutative Schwarzschild black hole
• Current Algebra on the Conformal Boundary and the Variables of Quantum Gravity
• Beyond the Einstein Equation of State: Wald Entropy and Thermodynamical Gravity
• A thermodynamic point of view on dark energy models
• Friedmann equations for deformed entropic gravity
• First-order thermodynamics of Horndeski cosmology
• A cosmological model from emergence of space
• Is dark energy from cosmic Hawking radiation?
• Fluctuations in horizon-fluid lead to negative bulk viscosity
• Covariant Information Theory and Emergent Gravity
• An attempt to add Barrow entropy in $f(R)$ gravity
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Fluctuation-dissipation in accelerated frames
• Black hole horizons can hide positive heat capacity
• The Logotropic Dark Fluid: Observational and Thermodynamic Constraints
• A statistical representation of the cosmological constant from finite size effects at the apparent horizon
• First-order thermodynamics of scalar-tensor gravity
• Bouncing universe with modified dispersion relation
• Black hole collapse and democratic models
• On non-equilibrium physics and string theory
• Statistical Model of Exotic Rotational Correlations in Emergent Space-Time
• Spacetime Emergence and General Covariance Transmutation
• Emergent Gravity in a Holographic Universe
• Bondi-Metzner-Sachs symmetry, holography on null-surfaces and area proportionality of "light-slice" entropy
• Entropic dark energy and sourced Friedmann equations
• Locally inertial null normal coordinates
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Horizon temperature on the real line
• Thermofield dynamics and Gravity
• Angular correlations of causally-coherent primordial quantum perturbations
• Covariant approach to the thermodynamic structure of a generic null surface
• Entropy, energy and temperature-length inequality for Friedmann universes
• The enigmatic gravitational partition function
• First law of thermodynamics and entropy of FLRW universe in modified gravity
• Decoherence-Free Entropic Gravity: Model and Experimental Tests
• Implications of Tarski's Undefinability Theorem on the Theory of Everything
• Consequences of Godel Theorems on Third Quantized Theories Like String Field Theory and Group Field Theory
• Thermodynamic Gravity and the Schrodinger Equation
• Instability of de Sitter space under thermal radiation in different vacua
• Modular Hamiltonian for de Sitter diamonds
• How Emergent is Gravity?
• Testing emergent gravity with mass densities of galaxy clusters
• Thermodynamics of FRW Universe With Chaplygin Gas Models
• Spacetime Thermodynamics with Contorsion
• Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole
• Windows on Quantum Gravity
• Fluctuations of the flux of energy on the apparent horizon
• Entropy in Born-Infeld Gravity
• Entropy functionals and thermodynamics of relativistic geometric flows, stationary quasi-periodic Ricci solitons, and gravity
• Thermodynamical analysis on a braneworld scenario with curvature corrections
• On entropic gravity: the entropy postulate, entropy content of screens and relation to quantum mechanics
• Go with the Flow, Average Holographic Universe
• Emergence of space and expansion of universe
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Gravitational Collapse in Scale-Dependent Gravity
• From maximum force to the field equations of general relativity -- and implications
• A model of quantum gravity with emergent spacetime
• Symmetries of CMB Temperature Correlation at Large Angular Separations
• Euclidean Action and the Einstein tensor
• On topological charged braneworld black holes
• Semiclassical gravitational collapse of a radially symmetric massless scalar quantum field
• Non-Equilibrium Fluctuations of Black Hole Horizons
• A Matter of Principle: The Principles of Quantum Theory, Dirac's Equation, and Quantum Information
• Proof of entropy principle in Einstein-Maxwell theory
• Emergent gravity: the BEC paradigm
• Planckian corrections to the Friedmann flat equations from thermodynamics at the apparent horizon
• Holographic scattering and non-minimal RT surfaces
• Cosmology from String T-duality and zero-point length
• Emergent spacetimes
• Thermodynamic aspects of entropic cosmology with viscosity
• Analogue Gravity Models From Conformal Rescaling
• Generalised second law of thermodynamics for interacting dark energy in the DGP brane world
• The thermodynamics of quantum spacetime histories
• Loop Quantum Gravity and Quantum Information
• Accelerated horizons and Planck-scale kinematics
• Quantum vacuum fluctuations and dark energy
• Holographic Space-time Models in $1+1$ Dimensions
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Calculation of a fluctuating entropic force by phase space sampling
• Semi-Holographic Universe
• Pattern of perturbations from a coherent quantum inflationary horizon
• Thermodynamics in Quasi-Spherical Szekeres Space-Time
• Renyi Entropy Correction to Expanding Universe
• Are quantum corrections on horizon scale physically motivated?
• Generalized entropic gravity from modified Unruh temperature
• Deducing the three gauge interactions from the three Reidemeister moves
• Fermions in Loop Quantum Gravity and Resolution of Doubling Problem
• Connecting horizon pixels and interior voxels of a black hole
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Vacuum thermal effects in flat space-time from conformal quantum mechanics
• Gauss-Codazzi thermodynamics on the timelike screen
• A Local First Law of Gravity
• Note on a new fundamental length scale $l$ instead of the Newtonian constant $G$
• The quantum effect on Friedmann equation in FRW universe
• A new approach to $P-V$ phase transitions: Einstein gravity and holographic type dark energy
• Thermodynamical stability for perfect fluid
• Thermodynamic analysis of gravitational field equations in Lyra manifold
• Kinematics and dynamics of null hypersurfaces in the Einstein-Cartan spacetime and related thermodynamic interpretation
• Twisted sectors in three-dimensional gravity
• More on spacetime thermodynamics in the light of Weyl transformations
• Quantum entropy couples matter with geometry
• Alternative formulations of the thermodynamics of scalar-tensor theories
• Analogy between freezing lakes and the cosmic radiation era
• Thermodynamics of acoustic black holes in two dimensions
• Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
• On solutions of loop quantum cosmology
• Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling
• Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
• The laws of thermodynamics and information for emergent cosmology
• Entanglement entropy from the holographic stress tensor
• Violation of the Holographic Principle in the Loop Quantum Gravity
• Thermodynamics of the unified dark fluid with fast transition
• Thermodynamics of Local Causal Horizons
• Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus $SU(\infty )$-QGR
• 't Hooft suppression and holographic entropy
• On Effective Spacetime Dimension in the Hořava-Lifshitz Gravity
• Entropy: From Black Holes to Ordinary Systems
• Space-time thermodynamics in momentum dependent geometries
• Quantum, noncommutative and MOND corrections to the entropic law of gravitation
• Aspects of Quantum Gravity in Cosmology
• General proof of (maximum) entropy principle in Lovelock gravity
• Thermodynamic Properties of Spherically-Symmetric, Uniformly-Accelerated Reference Frames
• Cosmological parameters from the thermodynamic model of gravity
• Entropy and Gravitation: From Black Hole Computers to Dark Energy and Dark Matter
• Minimum-length Ricci scalar for null separated events
• Logarithmic Corrections to Gravitational Entropy and the Null Energy Condition
• Emergence of extended Newtonian gravity from thermodynamics
• Evaluating the Wald Entropy from two-derivative terms in quadratic actions
• Spacetime Foam Model of the Schwarzschild Horizon
• Friedmann equations and cosmic bounce in a modified cosmological scenario
• Exploring Modifications to FLRW Cosmology with General Entropy and Thermodynamics: A new Approach
• An exact black hole spacetime with scalar field and its shadow together with quasinormal modes
• Holostar thermodynamics
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Information-Probabilistic description of the Universe
• Entanglement Entropy and Duality in AdS(4)
• Anisotropic Dark Energy and the Generalized Second Law of Thermodynamics
• Maximum force and minimum distance: physics in limit statements
• Understanding General Relativity after 100 years: A matter of perspective
• From Petrov-Einstein-Dilaton-Axion to Navier-Stokes equation in anisotropic model
• Causal Fermion Systems: Classical Gravity and Beyond
• $\kappa$--Rindler space
• Proposal for a new quantum theory of gravity
• Dynamical Vacuum Compressibility of Space
• Emergent gravity and the quantum
• Deriving the First Law of Black Hole Thermodynamics without Entanglement
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• Modeling Time's Arrow
• On the thermodynamics of reconciling quantum and gravity
• Holographic relations in loop quantum gravity
• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• Information content and minimum-length metric: A drop of light
• A generalization of the Lorentz ether to gravity with general-relativistic limit
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• Thermodynamics of an Evolving Lorentzian Wormhole with Entropy Corrections
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Quantum entanglement and Hawking temperature
• Black hole thermodynamics as seen through a microscopic model of a relativistic Bose gas
• A study of different horizons in inhomogeneous LTB cosmological model
• Self-Gravitating Matter in Stationary and Axisymmetric Black Hole Spacetimes
• Quantized Black Hole and Heun function
• Energy equipartition and minimal radius in entropic gravity
• A geometrical origin for the covariant entropy bound
• Apparent Dark Matter Inspired by Einstein Equation of State
• Eternal inflation and a thermodynamic treatment of Einstein's equations
• Extracting Geometry from Quantum Spacetime: Obstacles down the road
• Consistency between dynamical and thermodynamical stabilities for perfect fluid in $f(R)$ theories
• Classical corrections to black hole entropy in $d$ dimensions: a rear window to quantum gravity?
• From an Entropic Measure of Time to Laws of Motion
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Quantum Gravity and Dark Matter
• Holographic Space-time Models of Anti-deSitter Space-times
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• A modified thermodynamics method to generate exact solutions of the Einstein equations
• Horizon thermodynamics in fourth-order gravity
• Real-time particle-detection probabilities in accelerated macroscopic detectors
• Cosmological Constant in Coherent Quantum Gravity
• A Fermi Model of Quantum Black Hole
• Revisiting the minimum length in the Schwinger-Keldysh formalism
• Quantum theory of three-dimensional de Sitter space
• Microscopic Models of Linear Dilaton Gravity and Their Semi-classical Approximations
• Statistical description of massless excitations within a sphere with a linear equation of state and the dark energy case
• Horava-Lifshitz cosmology, entropic interpretation and quark-hadron phase transition
• Quasilocal mass in scalar-tensor gravity: spherical symmetry
• Topological and optical signatures of modified black-hole entropies
• Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
• Subregions, Minimal Surfaces, and Entropy in Semiclassical Gravity
• Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II (The search of the interface between QFT and QG)
• Entropic Gravity and Cosmology in Kaniadakis Statistics
• Thermodynamics of Quasi-Topological Cosmology
• Dynamics of self-gravitating systems in non-linearly magnetized chameleonic Brans-Dicke gravity
• Cosmic Acceleration in an Extended Brans-Dicke-Higgs Theory
• The holographic solution - Why general relativity must be understood in terms of strings
• Barrow Cosmology and Big-Bang Nucleosynthesis
• Why The Cosmological Constant is a Boundary Condition
• Theoretical and Observational Implications of Planck's Constant as a Running Fine Structure Constant
• Complementary role of the pressure in the black hole thermodynamics
• A Note on Entanglement Entropy, Coherent States and Gravity
• Generalized Misner-Sharp energy in the generalized Rastall theory
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Two arguments for more fundamental building blocks
• Entropy and Energy of Static Spherically Symmetric Black Hole in $f(R)$ theory
• Quantum response theory and momentum-space gravity
• A Study of Phase Transition in Black Hole Thermodynamics
• Comments on the Entanglement Spectrum of de Sitter Space
• Making a Quantum Universe: Symmetry and Gravity
• Quantifying the Projected Suppression of Cluster Escape Velocity Profiles
• Emergence of cosmic space and the maximization of horizon entropy
• On Emergent Gravity, Ungravity and $\Lambda$
• Dynamics and the Emergence of Geometry in an Information Mesh
• A Note on the Entropy Force in Kinetic Theory and Black Holes
• Two-mode Gaussian quantum states measured by collinearly and noncollinearly accelerating observers
• Entropy of Self-Gravitating Anisotropic Matter
• Combinatorial Quantum Gravity: Emergence of Geometric Space from Random Graphs
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Angular correlations on causally-coherent inflationary horizons
• Kinematics in Metric-Affine Geometry
• Modified Measures as an Effective Theory for Causal Fermion Systems
• Abbott-Deser-Tekin like conserved quantities in Lanczos-Lovelock gravity: beyond Killing diffeomorphisms
• Thermodynamics as a tool for (quantum) gravitational dynamics
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
• On the Origin and Nature of Dark Matter
• Decoding infrared imprints of quantum origins of black holes
• Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri equation
• Entanglement Entropy of a Scalar Field in a Squeezed State
• Thermodynamic and Holographic Information Dual to Volume
• Finite entanglement entropy and spectral dimension in quantum gravity
• Holographic Cavalieri Principle as a Universal relation between Holographic Complexity and Holographic Entanglement Entropy
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Quantum fluctuation theorem in a curved spacetime
• Matter Equation of State in General Relativity
• Thermodynamics of Modified Chaplygin-Jacobi Gas and Modified Chaplygin-Abel Gas: Stability Analysis and Observational Constraints
• Scale Invariance at low accelerations (aka MOND) and the dynamical anomalies in the Universe
• General proof of the entropy principle for self-gravitating fluid in f(R) Gravity
• From Quantum Relative Entropy to the Semiclassical Einstein Equations
• Principle of maximum force and holographic principle: two principles or one?
• Unified first law and some general prescription: a redefinition of surface gravity
• TFD Extension of Open String Field Theory
• Entropy bounds and field equations
• Horizon spectroscopy in and beyond general relativity
• Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
• The end of spacetime
• Towards an information description of space-time
• Holographic Bound in Quantum Field Energy Density and Cosmological Constant
• Negative Newton constant may destroy some conjectures
• The multiple realizability of general relativity in quantum gravity
• Thermodynamical Interpretation of the Second Law for Cosmology
• Holography without holography: How to turn inter-representational into intra-theoretical relations in AdS/CFT
• Viaggiu entropy and the generalized second law in a flat FLRW Universe
• Maximally Symmetric Spacetimes emerging from thermodynamic fluctuations
• Gravitation and Thermodynamics: The Einstein Equation of State Revisited
• Might black holes reveal their inner secrets?
• Emergent Gauge Fields
• Non-Boltzmann Statistics as an Alternative to Holography
• Universal properties from local geometric structure of Killing horizon
• String theory, quantum mechanics and noncommutative geometry: a new perspective on the gravitational dynamics of D0-branes
• The Effect of Spacetime Curvature on Statistical Distributions
• Towards a theory of machine learning
• Nonextensive statistics, entropic gravity and gravitational force in a non-integer dimensional space
• Zero-point gravitational field equations
• Spacetime mappings of the Brown-York quasilocal energy
• Gas Model of Gravitons with Light Speed
• Comments on the entropic gravity proposal
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• Modified cosmology through generalized mass-to-horizon entropy: observational constraints from DESI DR2 BAO data
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Entanglement for Quantum Hall states and a Generalized Chern-Simons Form
• Quantum black holes as classical space factories
• Viscous gravitational aether and the cosmological constant problem
• Higher-Curvature Gravity, Black Holes and Holography
• MOND Theory and Thermodynamics of Spacetime
• Fine tuning and MOND in a metamaterial multiverse
• Testing a Conjecture On Quantum Chromodynamics
• Self-Gravity and Bekenstein-Hawking Entropy
• Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff
• Thermodynamics of the inhomogeneous perfect fluid LTB model: Modified Bekenstein-Hawking system
• Holographic Principle and the Surface of Last Scatter
• Models of Exotic Interferometer Cross-Correlations in Emergent Space-Time
• Quantum Gravity: Has Spacetime Quantum Properties?
• Standard Cosmology Delayed
• Decoherence and Landauer's Principle in Qubit-Cavity Quantum-Field-Theory Interaction
• Finitary, Causal and Quantal Vacuum Einstein Gravity
• Quasilocal first law of black hole dynamics from local Lorentz transformations
• GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2
• Entropic considerations on the Universe and Universe-Black Hole Systems
• Spectral Analysis of Quasinormal Modes of Planck Stars
• The holographic space-time and black hole remnants as dark matter
• Holographic equipartition from first order action
• Cosmological Constant from the Entropy Balance Condition
• The generalized second law of thermodynamics of the universe bounded by the event horizon and modified gravity theories
• The Dark Components of the Universe Are Slowly Clarified
• Sakharov's induced gravity and the Poincaré gauge theory
• Einstein's equations and the pseudo-entropy of pseudo-Riemannian information manifolds
• Fluctuation and Inertia
• Emergent gravity: From statistical point of view
• Thermodynamics of Gravitationally Induced Particle Creation Scenario in DGP Braneworld
• Quasilocal Smarr relations for static black holes
• Hawking radiation and thermodynamics of dynamical black holes in phantom dominated universe
• Strange Horizons: Understanding Causal Barriers Beyond General Relativity
• Connecting the quantum and classical worlds
• What we don't know about time
• Emergence of quadratic gravity from entanglement equilibrium
• Emergent gravity in superplastic crystals
• Probing the Information-Probabilistic Description
• Exponential correction to Friedmann equations
• Clocks and Relationalism in the Thermal Time Hypothesis
• From spacetime thermodynamics to Weyl transverse gravity
• Thermodynamics of the Primordial Universe
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• $\Psi$-Epistemic Quantum Cosmology?
• Entropic gravity versus gravitational pseudotensors in static spherically symmetric spacetimes
• The existence of a minimum wavelength for photons
• On thermodynamics of compact objects
• Thermodynamics of black hole in $D$-dimensional $f(R)$ theory
• Modified Gravity with Nonminimal Curvature-Matter Couplings: A Framework for Gravitationally Induced Particle Creation
• Relation Between Einstein And Quantum Field Equations
• Modified gravity/entropic gravity correspondence due to graviton mass
• On Asymptotic Darkness in Hořava-Lifshitz Gravity
• Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics
• Graviton-Photon Oscillations as a Probe of Quantum Gravity
• Gauge protected entanglement between gravity and matter
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Accreting Black Holes radiate classical Vaidya radiation to pave way for Hawking radiation
• Classical Black Holes Are Hot
• Unified first law for traversable wormholes in non-minimal coupling of curvature and matter
• Local Lorentz covariance in finite-dimensional Local Quantum Physics
• Smooth Entropy Transfer of Quantum Gravity Information Processing
• On the resilience of the gravitational variational principle under renormalization
• Quantum-induced Stochastic Optomechanical Dynamics
• Rescuing the Unruh Effect in Lorentz Violating Gravity
• A Review of the Holographic Relation between Linearized Gravity and the First Law of Entanglement Entropy
• Temperature upper bound of an ideal gas
• Statistical discrete geometry
• Is the local linearity of space-time inherited from the linearity of probabilities?
• Lambda, the Fifth Foundational Constant Considered by Einstein
• Corrections to Bekenstein-Hawking entropy --- Quantum or not-so quantum?
• Towards a holographic theory of cosmology -- threads in a tapestry
• Thermodynamics of scalar field models with kinetic corrections
• Friedmann equations from GUP-modified equipartition law
• Analysis of the CERN-NA63 radiation reaction data set, assuming the Rindler bath is composed of microscopic black holes
• Quantum states for a minimum-length spacetime
• The isolated elliptical galaxy NGC 5812 -- MOND or Dark Matter?
• Scalar fluid in scalar-tensor gravity from an equivalent picture of thermodynamic and fluid descriptions of gravitational dynamics
• Holographic Cosmology from a System of M2-M5 Branes
• A general thermodynamical description of the event horizon in the FRW universe
• Unification of Dark Matter and Dark Energy in a Modified Entropic Force Model
• Modified gravity from an entropy functional
• Do Black Holes With Generalized Entropy Violate Bekenstein Bound?
• On the quantum mechanics of entropic forces
• Gravitational potential from maximum entropy principle
• Black holes and balanced metrics
• On the emergent origin of the inertial mass
• Quantum Entanglement Dynamics of Spacetime and Matter
• Emergence: Key physical issues for deeper philosophical inquiries
• Crossover in extended Newtonian gravity emerging from thermodynamics
• Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. I
• D-bound and Bekenstein Bound for the Surrounded Vaidya Black Hole
• Some properties of accelerating observers in the Schwarzschild space
• On Planetary Orbits in Entropic Gravity
• On the Field Theoretical Description of an Alternative Model to Generalized Chaplygin Gas and its Thermodynamic Behaviour
• Modified $f(R)$ Gravity and Thermodynamics of Time-Dependent Wormholes at Event Horizon
• On a new relation between entanglement and geometry from M(atrix) theory
• The Temperature/Entropy Connection for Horizons, Massless Particle Scattering, and the Origin of Locality
• Gravitation: from Newton to Einstein
• Space-time uncertainty relation from quantum and gravitational principles
• Metamaterial model of tachyonic dark energy
• Emergent Quantumness in Neural Networks
• Observational constraints and dynamical analysis of Kaniadakis horizon-entropy cosmology
• Thermodynamics of the Universe Filled with Perfect Fluid Having Variable Equation of State
• Statistical mechanics of covariant systems with multi-fingered time
• Thermostatistical analysis for short-range interaction Potentials
• Scalar-tensor theories of gravity from a thermodynamic viewpoint
• Discussion of a possible corrected black hole entropy
• Lemaitre-Tolman-Bondi model of the universe and Hawking radiation of a dynamical horizon
• Exact Renormalization Group, Entanglement Entropy, and Black Hole Entropy
• Entanglement in conformal field theory and holography
• Thermodynamic structure of field equations near apparent horizon for radiating black holes
• Emergent Dark Gravity from (Non)Holographic Screens
• Holographic Entanglement Entropy, Complexity, Fidelity Susceptibility and Hierarchical UV/IR Mixing Problem in $AdS_2/\mbox{open strings}$
• The scalarized Raychaudhuri identity and its applications
• Bose Condensation and the BTZ Black Hole
• Thermodynamics of horizons from a dual quantum system
• Geometric realization of stress-tensor deformed field theory
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• Testing the Quantum of Entropy
• Recovering semiclassical Einstein's equation using generalized entropy
• Quantum Correlations in Space-Time: Foundations and Applications
• Nonlinear dynamics of flux compactification
• The Klein-Gordon equation in Machian model
• Black Hole Motion in Entropic Reformulation of General Relativity
• Screen chaotic motion by Shannon entropy in curved spacetimes
• Brans-Dicke Gravity from Entropic Viewpoint
• Remarks on osmosis, quantum mechanics, and gravity
• Implications of maximum acceleration on dynamics
• AdS/CFT for Accelerator Physics or Building the Tower of Babel
• Holographic Cosmology from BIonic Solutions
• Thermodynamical properties of nonsingular universe
• Does Unruh radiation accelerate the universe? A novel approach to the cosmic acceleration
• Long-Range Quantum Gravity
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)
• Entropy Bounds and Holographic Dark Energy: Conflicts and Consensus
• On the correspondence between energy conservation and energy-momentum tensor conservation in cosmology
• The modified wave function of test particle approaching holographic screen from entropy force
• Cosmological Tensions with Non-Extensive Entropic Cosmology: A Modified Stress-Energy Approach
• Cosmological scenario based on the particle creation and holographic equipartition
• Consistency between dynamical and thermodynamical stabilities for charged self-gravitating perfect fluid
• Black hole entropy and long strings
• Eckart heat-flux applicability in $F(\Phi ,X)R$ theories and the existence of temperature gradients
• Warm Inflation in $f(Q)$ gravity
• Realize Emergent Gravity to Generic Situations
• Modified cosmology through generalized mass-to-horizon entropy: implications for structure growth and primordial gravitational waves
• Elementary Particles as Gates for Universal Quantum Computation
• Hyperbolic space in the Newtonian limit: the cosmological constant
• Derivation of the Einstein Equivalence Principle in a Class of Condensed Matter Theories
• Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics
• Quantum Gravity Effects on the Tachyon Inflation from Thermodynamic Perspective
• Space-time emergence from individual interactions
• Modified Newtonian Dynamics as an entropic force
• Fixing cosmological constant on the event horizon
• Building flat space-time from information exchange between quantum fluctuations
• Lorentz gauge theory as a model of emergent gravity
• Gravity as a thermodynamic phenomenon
• Thermodynamics and holography of tachyon cosmology
• Lorentz-covariant sampling theory for fields
• General Modified Friedmann Equations in Rainbow Flat Universe, by Thermodynamics
• On the holographic basis of Quantum Cosmology
• Minkowski space from quantum mechanics
• Horizon thermodynamics and composite metrics
• Irreversible Thermodynamics of the Universe: Constraints from Planck Data
• Quantum Mechanical Carrier of the Imprints of Gravitation
• The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant
• Testing of Dark Energy and a Solution of the Cosmological Constant Problem
• Holographic Equipartition and Gravitational Collapse
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Is the Universe Flat?
• Generalized Brans-Dicke theory from Verlinde's entropic gravity
• Quantum noise in time-dependent media and cosmic expansion
• Quantization of horizon entropy and the thermodynamics of spacetime
• Non-linear equation of motion for higher curvature semiclassical gravity
• Observational constraints on the modified cosmology inspired by string T-duality
• Mass-to-Horizon Relation and Entropy Beyond the Bekenstein-Hawking Limit
• Gravity from equilibrium thermodynamics of stretched light cones
• Manifestation of Quantum Forces in Spacetime: Towards a General Theory of Quantum Forces
• Unruh effect as foundation of universal gravitation within the cosmological scenario
• Generalized Semi-Holographic Universe
• JT de Sitter Gravity as a Model of Coleman-de Luccia Tunneling
• Microscopic quantum structure of black hole and vacuum versus quantum statistical origin of gravity
• Intrinsic quantum dynamics of particles in brane gravity
• Reply to "Can gravitational dynamics be obtained by diffeomorphism invariance of action?"
• Effective field theory description of horizon-fluid determines the scrambling time
• Casimir Energy of the Universe and the Dark Energy Problem
• Revealing some cosmological aspects of Kaniadakis entropy
• Quantum statistical gravity: time dilation due to local information in many-body quantum systems
• The Smarr formula within the Geroch-Held-Penrose formalism
• Universality of entropy principle for a general diffeomorphism-covariant purely gravitational theory
• Entropy and Black Holes in the Very Early Universe
• Geometric and thermodynamic properties in Gauss-Bonnet gravity
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale
• Does General Relativity Highlight Necessary Connections in Nature?
• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space
• Study of Thermodynamic Quantities in Generalized Gravity Theories
• Primordial Black Holes as Dark Matter
• Effective geometry of Bell-network states on a dipole graph
• How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?
• Black Holes and D-branes
• Non-equilibrium thermodynamics and Newtonian gravitation
• From mindless mathematics to thinking meat?
• Comparison of Variations of Statistical and Wald's Entropies
• Generalized Second Law of Thermodynamics on the Event Horizon for Interacting Dark Energy
• Canonical Quantization of the U(1) Gauge Field in the right Rindler-wedge in the Rindler Coordinates
• Surface tension of the horizon
• Linearized Einstein's Equation around pure BTZ from Entanglement Thermodynamics
• Entropic force and its fluctuation in Euclidian quantum gravity
• Cosmological QCD phase transition in steady non-equilibrium dissipative Hořava-Lifshitz early universe
• Thermodynamical aspects of modified holographic dark energy model
• Black Hole Mergers in Holographic Space-time Models of Inflation
• An Effective Cosmological Constant From an Entropic Formulation of Gravity
• On the nature of quantum gravity
• Multi-fluid Theory and Cosmology: A Convective Variational Approach to Interacting Dark-Sector
• The Einstein equation of state as the Clausius relation with an entropy production
• Relativity without tears
• Inertial force, Hawking Temperature and Quantum Statistics
• On the Relative Distance of Entangled Systems in Emergent Spacetime Scenarios
• Signatures of quantum geometry from exponential corrections to the black hole entropy
• Energy Density Bounds in Cubic Quasi-Topological Cosmology
• A transient phase in cosmological evolution : A multi-fluid approximation for a quasi-thermodynamics equilibrium
• Tidal heating in a Riemann-Cartan spacetime
• Universal Entanglement and an Information-Complete Quantum Theory
• Entropic force versus temperature force
• Spacetime granularity from finite-dimensionality of local observable algebras
• String Theory - Nomological Unification and the Epicycles of the Quantum Field Theory Paradigm
• Cosmology as a CFT${}_1$
• Signatures of an Emergent Gravity from Black Hole Entropy
• Signal-Locality and Subquantum Information in Deterministic Hidden-Variables Theories
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Black Hole Thermodynamics Based on Unitary Evolutions
• Observational constraints on Luciano-Saridakis entropic cosmology
• Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects
• Probing Penrose-type singularities in sonic black holes
• SpaceTime from Hilbert Space: Decompositions of Hilbert Space as Instances of Time
• Entropy Bound Derived from the New Thermodynamics on Holographic Screen
• The small-scale structure of quantum spacetime
• Modular theory and affine representations on the Rindler horizon
• Severe Challenges In Gravity Theories
• Lubkin-Page typicality bounds for Type~II von~Neumann factors
• Thermodynamical instability of black holes
• Bousso's Covariant Entropy Bound and Padmanabhan's Emergent Universe
• A new approach to the thermodynamics of scalar-tensor gravity
• The Gravitational Memory of a Galaxy
• Quantum fields in curved space-time, semiclassical gravity, quantum gravity phenomenology, and analogue models: Report on session D4 at GR20
• An Entropy-Based Criterion for Geodesic Incompleteness
• Coarse-graining of the Einstein-Hilbert Action rewritten by the Fisher information metric
• Classical and Quantum Thermodynamic Systems in Curved Spacetime
• A quantum gravity tensor equation formally integrating general relativity with quantum mechanics
• The problem with `The Problem of Time'
• Finite temperature R-squared quantum gravity
• On the Unruh effect for hyperbolic observers in spacetimes of maximal proper acceleration
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
• Maxwell's demon and information channel width of a black hole
• Penrose-Rindler equation and horizon thermodynamics of stationary black holes
• A dynamically constrained Yang-Mills theory with Lorentz symmetry group as an alternative theory of gravity
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
• Classification of quantum states based on the null energy condition
• A vacuum component of the Universe must evolve
• Taking Cognition Seriously: A generalised physics of cognition
• Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy
• Phase transitions due to Euclidean gravity
• Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature
• The holographic space-time model of inflation and its predictions for the CMB primordial spectra
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• Does Holographic equipartition demand a pure cosmological constant?
• The Relativity of Existence
• Action in the Entropic Revolution of Newtonian Gravity
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time
• Stealth metastable state of scalar-tensor thermodynamics
• On Generalized Theories of Varying Fine Structure Constant
• Static Spherically Symmetric Solutions in Modified Entropic Gravity
• Black holes and their horizons in semiclassical and modified theories of gravity
• Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits, Part I. An Ultraviolet Case
• Energy Balance of a Boson Gas at Zero Temperature in Curved Spacetime
• An approach to the quasi-equilibrium state of a self-gravitating system
• Thermal nature of a generic null surface
• The Cardy-Verlinde equation in a spherical symmetric gravitational collapse
• Cosmology with Logarithmic Corrected Horizon Entropy According to the Generalized Entropy and Variable-G Correspondence
• Emergent geometry through quantum entanglement in Matrix theories
• Possible fluid interpretation and tidal force equation on a generic null hypersurface in Einstein-Cartan theory
• Hawking modes and the optimal disperser : Holographic lessons from the observer's causal-patch unitarity
• On the lower bound of the Heisenberg uncertainty product in the Boltzmann states
• Generalized Second Law and Thermodynamical Aspects of $f(Q,\mathcal{T})$ Gravity
• Thermodynamics of effective Minkowski spacetime in self-assembled hyperbolic metamaterials
• Energy trapping from Hagedorn densities of states
• Possible Origin of Gravity and the Holographic Principle
• Apparent horizon as a membrane
• Landauer principle and the second law in a relativistic communication scenario
• Emergent phenomenology from deterministic Cartan-Randers systems
• Thermodynamic formulation of Cotton gravity in the Codazzi parametrization
• Entropic Gravity in Rindler Space
• Cosmology and Non-additive Entropy
• Physical Relativism as an Interpretation of Existence
• Background gravitational waves as signature of the adiabatic expansion of a black body that represents the dark universe
• Thermodynamics of Apparent Horizon and Friedmann Equations in Big Bounce Universe
• On Non-Equilibrium Thermodynamics of Space-Time and Quantum Gravity
• Microscopic Model building for Black Hole Membranes from Constraints of Symmetry
• On the nature of the black hole information problem
• Universal terms of the entanglement entropy in a static closed universe
• Holographic Space-time and Quantum Information
• A class of entangled and diffeomorphism-invariant states in loop quantum gravity: Bell-network states
• The Membrane Paradigm and Firewalls
• Trivial Entropy of Matter in Gravitation
• What quantum matter tells about quantisation of gravity in a statistical mechanics context
• On planetary orbits, ungravity and entropic gravity
• Lorentz and gauge invariance of quantum space
• Estimation theory and gravity
• Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model
• On the thermodynamic origin of the Hawking entropy and a measurement of the Hawking temperature
• Entropy of Causal Horizons
• Spacetime as a deformable solid
• Fluid Dynamics and Entropic Gravity
• Thermodynamic aspects of FLRW Universe in Einstein-Gauss-Bonnet domains
• Fixed lines in four fermion models in two dimensions
• A spacetime discretization and black holes properties in a holographic representation
• Quantum state of fields in $SU(\infty )$ Quantum Gravity ($SU(\infty )$-QGR)
• From MOND entropy to extended uncertainty principles: A unified framework
• Semiclassical Length Measure from a Quantum-Gravity Wave Function
• Emergence of the cosmic space inspired by mass-to-horizon entropy
• Multi-layer statistical gravity on the boundary
• The two-component virial theorem and the acceleration-discrepancy relation
• Gravity from micro-equilibration
• The trans-Planckian problem and gravitational interactions
• Uncertainty Principles and Maximum Entropic Force
• The Standard Model Symmetry and Qubit Entanglement
• Renormalizability, fundamentality and a final theory: The role of UV-completion in the search for quantum gravity
• A background independent notion of causality
• Canonical Quantization of the U(1) Gauge Field in the Rindler Coordinates
• Quantum Mesh Dynamics (QMD)
• Mori-Zwanzig formalism for early cosmic inflation
• Conventional vs. modified GTD metrics: Survival of modified GTD metrics in AdS spacetime and thermodynamic ensembles
• Semantics of Information
• Foundations for a theory of emergent quantum mechanics and emergent classical gravity
• The first law of entanglement entropy in AdS black hole backgrounds
• Statistical Mechanics Derived From Quantum Mechanics
• Holographic Inflation and the Low Entropy of the Early Universe