Barrow's black hole entropy and the equipartition theorem
Everton M. C. Abreu, Jorge Ananias Neto, Edésio M. Barboza
Abstract
Barrow's entropy appears due to the fact that the black hole surface can be modified due to the quantum gravitational outcome. The measure of this perturbation is given by a new exponent Δ. In this letter we have shown that, from the standard mathematical form of the equipartition theorem, we can relate it to Barrow's entropy. After that, we tested the thermodynamical coherence of the system by calculating exactly the heat capacity which established an interval of the possible thermodynamical coherent values of the Barrow entropic exponent.
Topics & Concepts
Equipartition theoremExponentPhysicsEntropy (arrow of time)Measure (data warehouse)Statistical physicsQuantum mechanicsBlack hole (networking)Coherence (philosophical gambling strategy)Black hole thermodynamicsQuantumInterval (graph theory)Specific heatMathematical physicsMathematicsLarge deviations theoryHeat capacityScalingQuantum mutual informationCritical exponentGravitationClassical mechanicsTheoretical physicsPower lawBlack Holes and Theoretical PhysicsRelativity and Gravitational TheoryQuantum Mechanics and Non-Hermitian Physics