Baryon asymmetry from Barrow entropy: theoretical predictions and observational constraints

We investigate the generation of baryon asymmetry from the corrections brought about in the Friedman equations due to Barrow entropy. In particular, by applying the gravity-thermodynamics conjecture one obtains extra terms in the Friedmann equations that change the Hubble function evolution during the radiation-dominated epoch. Hence, even in the case of standard coupling between the Ricci scalar and baryon current they can lead to a non-zero baryon asymmetry. In order to match observations we find that the Barrow exponent should lie in the interval 0.005 less than or similar to Delta less than or similar to 0.008, which corresponds to a slight deviation from the standard Bekenstein-Hawking entropy. The upper bound is tighter than the one of other observational constraints, however the interesting feature is that in the present analysis we obtain a non-zero lower bound. Nevertheless this lower bound would disappear if the baryon asymmetry in Barrow-modified cosmology is generated by other mechanisms, not related to the Barrow modification.

Automated summary

We investigated the generation of baryon asymmetry caused by the modifications brought about in the Friedman equations due to Barrow entropy. By applying the gravity-thermodynamics conjecture, we obtained additional terms in the Friedmann equations that altered the evolution of the Hubble function during the radiation-dominated epoch. Even with the standard coupling between the Ricci scalar and baryon current, these terms can lead to a non-zero baryon asymmetry. In order to align with observations, we determined that the Barrow exponent should fall within the range of 0.005 to 0.008, indicating a slight deviation from the standard Bekenstein-Hawking entropy. The upper bound is more restrictive compared to other observational constraints, but the significant finding is the non-zero lower bound we obtained in this analysis.