Renyi Entropy Correction to Expanding Universe

Abstract

The Renyi entropy coprises a group of data estimates that sums up the well-known Shannon entropy, acquiring a considerable lot of its properties. It appears as unqualified and restrictive entropy, relative entropy, or common data, and has found numerous applications in information theory. in the Renyi's argument, the area law of the black hole entropy plays a significant role. However, the total entropy can be modified by some quantum effects, motivated by the randomness of a system. In this note, by employing this modified entropy relation, we have derived corrections to Newton's law of gravitation. Taking this entropy associated with the apparent horizon of the Friedmann-Robertson-Walker Universe and assuming the first law of thermodynamics, dE=TdS+WdV, satisfies the apparent horizon, we have reconsidered expanding Universe and find modified Friedmann equations. Also, the second thermodynamics law has been examined.

References in corpus (9)

• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Infrared cut-off proposal for the Holographic density
• 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 and Back Reaction
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Black hole quantum tunnelling and black hole entropy correction
• Power-law corrections to entanglement entropy of horizons
• The world according to Renyi: Thermodynamics of multifractal systems

Cited by in corpus (4)

• Holographic and Gravity-Thermodynamic Approaches in Entropic Cosmology: Bayesian Assessment using late-time Data
• Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
• RPST-Inspired Formalism for Black Holes in Flat Spacetime