Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
arXiv:2212.05822 · doi:10.1140/epjc/s10052-023-11855-7
Abstract
Horizon thermodynamics is expected to be related to the effective energy based on the energy density calculated from the Friedmann equation for a Friedmann--Robertson--Walker (FRW) universe. In the present study, the effective energy and thermostatistical quantities on a cosmological horizon are examined to clarify the holographic-like connection between them, with a focus on a de Sitter universe. To this end, the Helmholtz free energy on the horizon is derived from horizon thermodynamics. The free energy is found to be equivalent to the effective energy calculated from the Friedmann equation. This consistency is interpreted as a kind of holographic-like connection. To examine this connection, Padmanabhan's holographic equipartition law, which is related to the origin of spacetime dynamics, is applied to a de Sitter universe. It is found that the law should lead to a holographic-like connection. The holographic-like connection is considered to be a bridge between thermostatistical quantities on the horizon and in the bulk. For example, cosmological equations for a flat FRW universe can be derived from horizon thermodynamics by accepting the connection as a viable scenario. In addition, a thermal entropy equivalent to the Bekenstein--Hawking entropy is obtained from the Friedmann equation using the concept of a canonical ensemble in statistical physics. The present study provides new insight into the discussion of horizon thermodynamics and cosmological equations.
arXiv commentFinal version accepted for publication in EPJC. Several paragraphs and references are added. [10 pages]
References in corpus (100)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- The Large N Limit of Superconformal Field Theories and Supergravity
- The World as a Hologram
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Thermodynamics of Spacetime: The Einstein Equation of State
- Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
- Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
- Aspects of Holographic Entanglement Entropy
- On the Origin of Gravity and the Laws of Newton
- A Covariant Holographic Entanglement Entropy Proposal
- The holographic principle
- Replica Wormholes and the Entropy of Hawking Radiation
- Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
- Black hole thermodynamical entropy
- Emergent Gravity and the Dark Universe
- Relative entropy equals bulk relative entropy
- Evolution of the Scale Factor with a Variable Cosmological Term
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- The Area of a Rough Black Hole
- Holographic Dark Energy
- Relative Entropy and Holography
- Cosmological constant and vacuum energy: old and new ideas
- Generalized entropy formalism and a new holographic dark energy model
- Holographic Entanglement Entropy
- Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
- Disturbing Implications of a Cosmological Constant
- Entanglement Equilibrium and the Einstein Equation
- The new form of the equation of state for dark energy fluid and accelerating universe
- A Larger Estimate of the Entropy of the Universe
- Entropic Accelerating Universe
- Entropy of Static Spacetimes and Microscopic Density of States
- Friedmann Equations from Entropic Force
- Effective Field Theory of Dark Energy: a Review
- Rényi entropy and the thermodynamic stability of black holes
- Modified Friedmann Equations from Tsallis Entropy
- Entanglement entropy in de Sitter space
- Holography, Cosmology and the Second Law of Thermodynamics
- Islands in cosmology
- Cosmological model from the holographic equipartition law with a modified Rényi entropy
- Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
- Modified cosmology through spacetime thermodynamics and Barrow horizon entropy
- A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
- Entropic cosmology for a generalized black-hole entropy
- The generalized second law of thermodynamics with Barrow entropy
- Probing the cosmological viability of non-gaussian statistics
- Implications, consequences and interpretations of generalized entropy in the cosmological setups
- Barrow Entropy Corrections to Friedmann Equations
- Generalizing the running vacuum energy model and comparing with the entropic-force models
- Area-law versus Rényi and Tsallis black hole entropies
- Evolution of the universe in entropic cosmologies via different formulations
- Interacting dark matter and modified holographic Ricci dark energy induce a relaxed Chaplygin gas
- Emergent perspective of Gravity and Dark Energy
- Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
- Does the entropy of the Universe tend to a maximum?
- Pure de Sitter space and the island moving back in time
- Gravitational and Chiral Anomalies in the Running Vacuum Universe and Matter-Antimatter Asymmetry
- Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
- Thermodynamics in Rastall Gravity with Entropy Corrections
- Entropic-force dark energy reconsidered
- Entropy evolution of universes with initial and final de Sitter eras
- Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
- Can dark energy be expressed as a power series of the Hubble parameter?
- General form of entropy on the horizon of the universe in entropic cosmology
- Holography in de Sitter Space via Chern-Simons Gauge Theory
- Spacetime Fluctuations in AdS/CFT
- De Sitter Space and Entanglement
- Modified cosmology from the thermodynamics of apparent horizon
- Tsallis and Kaniadakis statistics from a point of view of the holographic equipartition law
- Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology
- Equipartition of energy and the first law of thermodynamics at the apparent horizon
- Conformal Description of Near-Horizon Vacuum States
- Testing the equation of state for viscous dark energy
- No Page Curves for the de Sitter Horizon
- Holographic equipartition and the maximization of entropy
- A Holographic Proof of Rényi Entropic Inequalities
- Entropic cosmology in a dissipative universe
- Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy
- On Vacuum Fluctuations in Quantum Gravity and Interferometer Arm Fluctuations
- On the Page curve under final state projection
- Gravitation and vacuum entanglement entropy
- Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law
- Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
- Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
- Universal thermodynamics in different gravity theories: Modified entropy on the horizons
- Do We Really Understand the Cosmos?
- Entropy Maximization in the Emergent Gravity Paradigm
- Cosmic microwave background radiation temperature in a dissipative universe
- Accelerated Expansion of the Universe based on Emergence of Space and Thermodynamics of the Horizon
- Does the second law hold at cosmic scales?
- Modified Hawking temperature and entropic force: a prescription in FRW model
- Liouville description of conical defects in dS, Gibbons-Hawking entropy as modular entropy, and dS holography
- Bayesian analysis of bulk viscous matter dominated universe
- de Sitter entropy as entanglement
- Horizon thermodynamics in holographic cosmological models with a power-law term
- Thermodynamics in the universe described by the emergence of the space and the energy balance relation
- Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
- Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
- Evolution of dissipative and non-dissipative universes in holographic cosmological models with a power-law term
- Spacetime Entanglement Entropy of de Sitter and Black Hole Horizons
- Holographic equipartition from first order action
Cited by in corpus (5)
- Evolution of thermodynamic quantities on cosmological horizon in model
- Topological and optical signatures of modified black-hole entropies
- Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
- Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
- Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model