Abstract:
The paper proposes an alternative scenario for the emergence of the baryon asymmetry of the Universe. This scenario is realized in the lattice gravity model associated with the Dirac field as follows. At ultrahigh temperatures of the Grand Unification order $T_c\sim10^{18}$ GeV and higher, the system is in a PT-symmetric phase. But when the temperature decreases, a phase transition to an asymmetric phase occurs, in which a non-zero tetrad appears, that is, space-time with the Minkowski metric, and the system's wavefunction splits into two: $|\rangle=|+\rangle+|- \rangle$. The fields of tetrads in states $|+\rangle$ and $|-\rangle$ differ in sign. At the very first moment of time with a duration of the order of the Planck time, a transition of fermions between these states is possible. These transitions in different parts of space are not correlated with each other. Therefore, the final asymmetry of the fermion charge between these states is relatively extremely small and it is preserved in time, since the interaction of the states $|+\rangle$ and $|-\rangle$ ceases at times greater than the Planck time.
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