Modified Friedmann equations from Kaniadakis entropy and cosmological implications on baryogenesis and ${}^7$Li-abundance

Modified Friedmann equations have been recently derived by implementing the gravity-thermodynamics conjecture in Kaniadakis statistics, which is a relativistic self-consistent generalization of the classical Boltzmann-Gibbs theory. The ensuing cosmological scenario exhibits new extra corrections depending on the model parameter K. In this work we apply Kaniadakis statistics to the horizon entropy of the FRW Universe and explore implications on baryogenesis and primordial Lithium abundance problems. This framework is motivated by the fact that physics of the early Universe is fundamentally relativistic, suggesting that a relativistic description might also involve the statistical properties of horizon degrees of freedom. By requiring consistency with observational data on baryogenesis and Lithium abundance, we constrain the Kaniadakis parameter. We also speculate on the possibility that a running K be allowed to trace the usual thermal history of the Universe in Kaniadakis statistics.