Baryon Asymmetry from the Generalized Uncertainty Principle

TL;DR

This paper proposes a novel mechanism involving the Generalized Uncertainty Principle (GUP) to explain the Universe's baryon asymmetry, satisfying Sakharov conditions through quantum gravity corrections to cosmology.

Contribution

It introduces a new interaction term coupled with GUP effects that satisfies all Sakharov conditions, offering a viable explanation for baryon asymmetry and constraining GUP parameters.

Findings

GUP induces corrections to Friedmann equations in cosmology.

The model satisfies all Sakharov conditions for baryogenesis.

GUP parameters are fixed to specific values, α₀≈10⁴ and β₀≈−10⁸.

Abstract

The unexplained observed baryon asymmetry in the Universe is a long-standing problem in physics, with no satisfactory resolution so far. To explain this asymmetry, three Sakharov conditions must be met. An interaction term which couples space-time and the baryon current is considered, which satisfies the first two Sakharov conditions. Furthermore, it is shown that the Generalized Uncertainty Principle (GUP) from quantum gravity induces corrections to the Friedmann equations in cosmology, via the holographic principle. GUP also induces variations of energy and pressure density in the radiation dominated era, which satisfies the third Sakharov condition. Therefore, this construction provides a viable explanation for the observed baryon asymmetry. This also fixes the GUP parameters to $\alpha_0\approx10^4$ and $\beta_0\approx-10^8$.