Links generalized black hole entropies to scalar-tensor gravity via Misner-Sharp mass and Wald entropy, yielding distinct scalar potentials with cosmological implications.
Statistical mechanics in the context of special relativity II
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abstract
The special relativity laws emerge as one-parameter (light speed) generalizations of the corresponding laws of classical physics. These generalizations, imposed by the Lorentz transformations, affect both the definition of the various physical observables (e.g. momentum, energy, etc), as well as the mathematical apparatus of the theory. Here, following the general lines of [Phys. Rev. E {\bf 66}, 056125 (2002)], we show that the Lorentz transformations impose also a proper one-parameter generalization of the classical Boltzmann-Gibbs-Shannon entropy. The obtained relativistic entropy permits to construct a coherent and selfconsistent relativistic statistical theory, preserving the main features of the ordinary statistical theory, which recovers in the classical limit. The predicted distribution function is a one-parameter continuous deformation of the classical Maxwell-Boltzmann distribution and has a simple analytic form, showing power law tails in accordance with the experimental evidence. Furthermore the new statistical mechanics can be obtained as stationary case of a generalized kinetic theory governed by an evolution equation obeying the H-theorem and reproducing the Boltzmann equation of the ordinary kinetics in the classical limit.
fields
gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The authors derive modified Friedmann equations from Kaniadakis entropy, compute inflationary observables, and find that Planck data require the deformation parameter kappa to be strongly suppressed in the standard case while allowing limited viable regions in the dual formulation.
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Scalar$-$Tensor Gravity as a Probe of Generalized Black Hole Entropy
Links generalized black hole entropies to scalar-tensor gravity via Misner-Sharp mass and Wald entropy, yielding distinct scalar potentials with cosmological implications.
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Slow-roll inflation in (dual) Kaniadakis cosmology
The authors derive modified Friedmann equations from Kaniadakis entropy, compute inflationary observables, and find that Planck data require the deformation parameter kappa to be strongly suppressed in the standard case while allowing limited viable regions in the dual formulation.