REVIEW 9 cited by
Statistical mechanics in the context of special relativity II
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Statistical mechanics in the context of special relativity II
read the original 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.
Forward citations
Cited by 9 Pith papers
-
Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
Generalized horizon-entropy models are cosmologically viable only within a narrow window around the Bekenstein–Hawking area law; all surviving models mimic ΛCDM.
-
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.
-
Scalar-Tensor Gravity as a Probe of Generalized Black Hole Entropy
Generalized black-hole entropies are realized via Misner–Sharp mass and Wald entropy in scalar-tensor gravity, yielding distinct Einstein-frame scalar potentials with cosmological implications.
-
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 ca...
-
On Accretion and Neutrino Investigations of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy
A generalized-entropy black-hole model with horizon temperature fixed by entropy predicts sign-controlled ISCO, shadow, and efficiency shifts, but relies on an arbitrary exterior profile p.
-
ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity
Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.
-
Modified Cosmology from Mass-to-Horizon Relation: Background Evolution
Viable generalized horizon entropies from the mass-to-horizon relation are restricted to a narrow neighborhood around the Bekenstein-Hawking law, yielding only Lambda-CDM-like background evolution.
-
Hamilton-Jacobi Approach to Inflationary Scenarios through Extended Entropies: An Observational Perspective
Hamilton-Jacobi analysis of slow-roll inflation with non-Bekenstein-Hawking entropies yields fitted entropy parameters (δ≈1.1-1.2, α∼10^{-14}, K∼10^{-17}) consistent with ns and r data.
-
Ghost Dark Energy in the Modified Kaniadakis Cosmology
Interacting ghost dark energy in Kaniadakis-corrected cosmology mildly shifts acceleration onset and approaches ΛCDM, remaining generally unstable though less so for larger λ.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.