Is γ-generalized statistical field theory complete?

Carvalho, P.R.S.

doi:10.1016/j.physletb.2023.138187

Cited by 3 publications

(1 citation statement)

References 76 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The issue of generality of κ-statistics is also tackled in [91] from the condensed matter perspective. Regrettably, Kaniadakis paradigm fails to provide a non-extensive version of Ising model, unlike Tsallis's distribution, which instead stands out as a potentially valid generalization (see [91][92][93] for further discussion on the subject). This drawback apparently challenges the role of κ-theory as generalized statistical mechanics, at least in low-energy regimes.…”

Section: Discussionmentioning

confidence: 99%

Gravity and Cosmology in Kaniadakis Statistics: Current Status and Future Challenges

Luciano

2022

Entropy

View full text Add to dashboard Cite

Kaniadakis statistics is a widespread paradigm to describe complex systems in the relativistic realm. Recently, gravitational and cosmological scenarios based on Kaniadakis (κ-deformed) entropy have been considered, leading to generalized models that predict a richer phenomenology comparing to their standard Maxwell–Boltzmann counterparts. The purpose of the present effort is to explore recent advances and future challenges of Gravity and Cosmology in Kaniadakis statistics. More specifically, the first part of the work contains a review of κ-entropy implications on Holographic Dark Energy, Entropic Gravity, Black hole thermodynamics and Loop Quantum Gravity, among others. In the second part, we focus on the study of Big Bang Nucleosynthesis in Kaniadakis Cosmology. By demanding consistency between theoretical predictions of our model and observational measurements of freeze-out temperature fluctuations and primordial abundances of 4He and D, we constrain the free κ-parameter, discussing to what extent the Kaniadakis framework can provide a successful description of the observed Universe.

show abstract