Baryogenesis inspired by some modified entropies

Abstract Entropy is defined as a measure of the degree of disorder or randomness in a system and is expressed in thermodynamic terms as the inability of thermal energy to be converted into mechanical work. In this work, we use different types of entropies such as Barrow entropy (BE), Sharma-Mittal entropy (SME), and generalized construction of these entropies. We use the above-mentioned entropies to discuss the issue of baryogenesis and then we find constraints on the entropies parameters to get the physical results of n B S compared to the standard observational value. To derive the modified Friedmann field equations (FFEs), we use entropies and the first law of thermodynamics. Thus, even in the presence of the typical interaction between the Ricci scalar and baryon current, this results in non-trivial modifications to the mass density and pressure content of the Universe, which provides a viable mechanism allowing for baryogenesis. Finally, we show that even in the radiation-dominant era baryon asymmetry factor (BAF) is non-zero. We conclude, BE parameter 0 ≤ Δ < 1, SME parameters R and δ with positive δ ≥ 4.2 × 1038 (keeping fixed R = 1) while at constant δ = 9 × 1028 for all values of R and for the generalized entropy parameter positive β ≤ 2.4 × 10−28 (fixing γ = α = 5); α ≤ 3.5 × 10−23 (for γ = 1.2 and β = 3) and γ ≥ 1.1 × 106 (at α = 3 × 10−20, β = 3), we have physically desired results on the observational ground.