Giorgio Kaniadakis

Giorgio Kaniadakis (; born on 5 June 1957 in Chania-Crete, Greece) a Greek-Italian physicist, is a Full Professor of Theoretical Physics at Politecnico di Torino, Italy, and is credited with introducing the concept of Kaniadakis entropy and what is known as Kaniadakis statistics.

Research Kaniadakis statistics Kaniadakis statistics can be traced back to the first principles of Special Relativity. Kaniadakis' theoretical framework, alongside the proposed statistical theory, also provides a mathematical formalism (also known as κ-mathematics) which is isomorphic to ordinary mathematics.

Cosmic rays are a relativistic particle system composed of normal nuclei as in the standard cosmic abundances of matter, and approximately can be viewed as an equivalent statistical system of identical relativistic particles with masses near the mass of the proton. For a long time, it has been known that the cosmic ray spectrum is not exponential, and then it violates the Boltzmann statistics. The presence in the cosmic ray spectrum of power-law tails, which extends over 13 decades in energy and spans 33 decades in particle flux, represents an important experimental test of the correctness and predictability of Kaniadakis statistics.

The statistical theory rooted on Kaniadakis entropy has significantly influenced scientific literature, both in establishing its theoretical foundations and in numerous application areas.