"If CPV is predetermined, then only matter will remain in the present universe. We can refer to this case as a "global" matter-antimatter asymmetry. If... CPV is the result of spontaneous symmetry breaking, domains of positive and negative CPV may result. In the case of spontaneous CPV, the Lagrangian is explicitly CP invariant, but at the symmetry breaking phase transition a CP invariant high temperature vacuum state undergoes a transition to a state where the vacuum solutions break CP either way. This mechanism may be compared to the spontaneous formation of ferromagnetic domains when a piece of unmagnetized iron cools below the critical temperature in the absence of a magnetic field. Although there is no preferred direction of magnetization, individual domains acquire random local directions of magnetization."
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4 A Locally Asymmetric Domain Cosmology
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