Baryogenesis viability of evolution-powered matter creation and possible bypass of Sakharov conditions

Determine whether the matter production mechanism derived from evolution in the values of fundamental constants using global time variables canonically dual to those constants—together with random mutations modeled by an absorbing Markov chain—can serve as a viable baryogenesis mechanism, and ascertain whether this mechanism bypasses the Sakharov conditions for baryogenesis (baryon number violation, C/CP violation, and departure from thermal equilibrium).

Background

The paper develops a deterministic framework linking evolution in the laws of physics to matter production via global time variables dual to fundamental constants, leading to a general condition for energy non-conservation. This environment is coupled with a stochastic mutation process modeled by an absorbing Markov chain whose absorbing state corresponds to near-diffeomorphism-invariant physics and fixed constants. The authors suggest that matter could be created during the random evolution phase and preserved upon reaching the absorbing state. They then point to a concrete cosmological application: whether this matter creation mechanism could underpin baryogenesis and whether it circumvents the standard Sakharov conditions.