Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe

Abstract

The influence of the generalized uncertainty principle (GUP) and extended uncertainty principle (EUP) on the thermodynamics of the Friedmann-Robertson-Walker (FRW) universe has been investigated. It is shown that the entropy of the apparent horizon of the FRW universe gets a correction if one considers the effect of the GUP or EUP. Moreover, starting with the modified entropy and applying the first law of thermodynamics, $dE=TdS$, to the apparent horizon of the FRW universe, we obtain the modified Friedmann equations. The influence of the GUP or EUP on the thermodynamics of the FRW universe provides a deep insight into the understanding of the quantum gravity or large length scale corrections to the dynamics of the FRW universe.

7 papges, no figure, comments are welcome! v2:Typos corrected, some references added; v3:typoes corrected, more references added, final version to appear in Phys. Lett. B

References in corpus (65)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Hawking Radiation as Tunneling
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• The Generalized Uncertainty Principle and Black Hole Remnants
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• General Laws of Black-Hole Dynamics
• Black hole entropy in Loop Quantum Gravity
• Universality of Quantum Gravity Corrections
• Logarithmic correction to the Bekenstein-Hawking entropy
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Gravity and the Thermodynamics of Horizons
• The algebraic structure of the generalized uncertainty principle
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• Gravitational Energy in Spherical Symmetry
• Non-equilibrium Thermodynamics of Spacetime
• Black hole entropy from Quantum Geometry
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Quantum Tunneling Beyond Semiclassical Approximation
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• When conceptual worlds collide: The GUP and the BH entropy
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Quantum Tunneling and Back Reaction
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Thermodynamics of Apparent Horizon in Brane World Scenario
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Natural extension of the Generalised Uncertainty Principle
• Entropy of Null Surfaces and Dynamics of Spacetime
• On the log correction to the black hole area law
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Black hole thermodynamics with generalized uncertainty principle
• Black hole entropy without brick walls
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Energy and entropy conservation for dynamical black holes
• A comment on black hole entropy or does Nature abhor a logarithm?
• Thermodynamics of Apparent Horizon in Brane World Scenarios
• The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Gravitational Uncertainty and Black Hole Remnants
• Energy conservation for dynamical black holes
• Gravity: A New Holographic Perspective
• Thermodynamics on the apparent horizon in generalized gravity theories
• Spin-Coefficient Form of the New Laws of Black-Hole Dynamics
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
• The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAd{S}_5$ Black Holes
• First law of thermodynamics and Friedmann-like equations in braneworld cosmology
• Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
• Quasi-local first law of black-hole dynamics
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• Canonical entropy of three-dimensional BTZ black hole
• On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation
• From Unruh temperature to generalized Bousso bound
• Determining the Minimal Length Scale of the Generalized Uncertainty Principle from the Entropy-Area Relationship
• Gravity from Spacetime Thermodynamics
• The equation of state for scalar-tensor gravity
• Probing the Holography of Near-Horizon AdS(5)xS(5) Geometry
• Thermodynamics of horizons from a dual quantum system

Cited by in corpus (73)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Generalized Uncertainty Principle: Approaches and Applications
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Gauge Theories under Incorporation of a Generalized Uncertainty Principle
• Shadow and weak deflection angle of extended uncertainty principle black hole surrounded with dark matter
• Extended Uncertainty Principle Black Holes
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• 30 years in: Quo vadis generalized uncertainty principle?
• Modified dispersion relations in extra dimensions
• Self-Completeness and the Generalized Uncertainty Principle
• Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe
• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
• Baryon Asymmetry from the Generalized Uncertainty Principle
• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force
• Thermodynamics of the Reissner-Nordström black hole with quintessence matter on the EGUP framework
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• Electroweak Theory with a Minimal Length
• Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
• Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe
• Thermodynamic properties of modified gravity theories
• Comparing two approaches to Hawking radiation of Schwarzschild-de Sitter black holes
• Investigation of Unruh temperature of Black holes by using of EGUP formalism
• Hawking-like radiation as tunneling from the apparent horizon in a FRW Universe
• Gravitationally induced uncertainty relations in curved backgrounds
• The Generalized Uncertainty Principle and the Friedmann equations
• Planck Scale Effect in the Entropic Force Law
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• EUP-corrected thermodynamics of BTZ black hole
• Black Hole Corrections due to Minimal Length and Modified Dispersion Relation
• $\alpha$-attractor inflation modified by GUP in light of ACT observations
• Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology
• Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*
• Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
• Universality of minimal length
• Lifshitz scalar, brick wall method, and GUP in Hořava-Lifshitz Gravity
• Gravitational effects on the Heisenberg Uncertainty Principle: a geometric approach
• GUP-corrected black holes: Thermodynamic properties, evaporation time and shadow constraint from EHT Observations of M87* and Sgr A*
• The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
• Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
• Modified Friedmann equations from DSR-GUP
• Generalized Quantization Principle in Canonical Quantum Gravity and Application to Quantum Cosmology
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Bouncing universe from a modified dispersion relation
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Generalized Extended Momentum Operator
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• Constraining the generalized uncertainty principle with neutron interferometry
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Entropy of the FRW universe based on the generalized uncertainty principle
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• Comments on the cosmological constant in generalized uncertainty models
• Removing the Big Bang Singularity: The role of the generalized uncertainty principle in quantum gravity
• Dark Matter as an effect of a minimal length
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Bounded compactness from G(E)UP
• Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential
• Back reaction, covariant anomaly and effective action
• Generalized uncertainty principle and burning stars
• Scalar field inflation driven by a modification of the Heisenberg algebra
• Holographic vacuum energy regularization and corrected entropy of de Sitter space
• Remarks on the quasi-position representation in models of generalized uncertainty principle
• The Derivation of Phase-Space Metric in a Geometric Quantization Approach: General Relativity with Quantized Phase-Space Metric and Relative Spacetime
• Uncertainty Principles and Non-local Black Holes
• Lorentz and gauge invariance of quantum space
• GUP/BEB correspondence