Equipartition of energy and the first law of thermodynamics at the apparent horizon

Abstract

We apply the holographic principle and the equipartition law of energy to the apparent horizon of a Friedmann-Robertson-Walker universe and derive the Friedmann equation describing the dynamics of the universe. We also show that the equipartition law of energy can be interpreted as the first law of thermodynamics at the apparent horizon.

v2: 7 pages, 1 figure, add discussion on consistency check, Int. J. Mod. Phys. D in press

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Cited by in corpus (40)

• Friedmann Equations from Entropic Force
• Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
• Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Power-Law Entropic Corrections to Newton's Law and Friedmann Equations
• Modified Entropic Force
• Thermodynamics of Black Holes from Equipartition of Energy and Holography
• Entropic force and entanglement system
• A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force
• Analysis of a regular black hole in Verlinde's gravity
• Entropic Law of Force, Emergent Gravity and the Uncertainty Principle
• Entropy Maximization in the Emergent Gravity Paradigm
• Clausius relation and Friedmann equation in FRW universe model
• Entropic force and its cosmological implications
• Towards a Holographic Description of Inflation and Generation of Fluctuations from Thermodynamics
• Noncommutative Geometry Inspired Entropic Inflation
• Modified Hawking temperature and entropic force: a prescription in FRW model
• Entropic force in the presence of black hole
• Modified Friedmann equations from fractional entropy
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Does entropic force always imply the Newtonian force law?
• Deformed Horava-Lifshitz Cosmology and Stability of Einstein Static Universe
• Schwarzschild-de Sitter black hole from entropic viewpoint
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Quantization of Black Holes
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• f(R) Gravity and Maxwell Equations from the Holographic Principle
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• On thermal force from holographic action
• Exponential correction to Friedmann equations
• Unification of Dark Matter and Dark Energy in a Modified Entropic Force Model
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Friedmann equations from GUP-modified equipartition law
• Gravity as a thermodynamic phenomenon
• Black Hole Motion in Entropic Reformulation of General Relativity
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model
• From MOND entropy to extended uncertainty principles: A unified framework
• A vacuum component of the Universe must evolve