Beyond Additivity and Extensivity of Entropy for Black Hole and Cosmological Horizons

Mariusz P. Da̧browski

doi:10.20944/preprints202408.0564.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 6 August 2024 / Approved: 7 August 2024 / Online: 8 August 2024 (16:53:12 CEST)

The extensions of Boltzmann-Gibbs classical entropic form are presented. The focus is on the thermodynamical entropies which do not obey classical definition of additivity and extensity with main motivation coming from the gravitational systems admitting long-range interactions both in astrophysics (black holes) and in cosmology. Horizon entropies are the main concern. In the paper, the plethora of non-Boltzmann-Gibbs entropies are studied and the comparative analysis of their properties with respect to additivity and extensivity is presented.

thermodynamics; entropy; additivity; extensivity; long-range interactions; horizons

Physical Sciences, Theoretical Physics

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Beyond Additivity and Extensivity of Entropy for Black Hole and Cosmological Horizons

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