We construct a holographic dark energy scenario based on Kaniadakis entropy, which is a
generalization of Boltzmann-Gibbs entropy that arises from relativistic statistical theory and …

Kaniadakis statistics is a widespread paradigm to describe complex systems in the
relativistic realm. Recently, gravitational and cosmological scenarios based on Kaniadakis …

We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on
the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard …

A great variety of complex physical, natural and artificial systems are governed by statistical
distributions, which often follow a standard exponential function in the bulk, while their tail …

Kaniadakis entropy is a one-parameter deformation of the classical Boltzmann–Gibbs–
Shannon entropy, arising from a self-consistent relativistic statistical theory. Assuming a …

Adopting the thermodynamics-gravity conjecture, and assuming the entropy associated with
the apparent horizon of the Friedmann-Robertson-Walker (FRW) universe has the form of …

Kaniadakis (κ-deformed) statistics is being widely used for describing relativistic systems
with non-extensive behavior and/or interactions. It is built upon a one-parameter …

Over the last two decades, it has been argued that the Lorentz transformation mechanism,
which imposes the generalization of Newton's classical mechanics into Einstein's special …

Kaniadakis κ-thermostatistics is by now recognized as an effective paradigm to describe
relativistic complex systems obeying power-law tailed distributions, as opposed to the …

The axiomatic structure of the κ-statistcal theory is proven. In addition to the first three
standard Khinchin–Shannon axioms of continuity, maximality, and expansibility, two further …