We demonstrate implications of leptonic CP violation and satisfy Sakharov conditions for matter generation in a new theoretical framework.
We address two related questions about charge-parity violation and the origin of matter. First, the leptonic CP phase: where the quark CP phase is structured in the framework, taking a specific value derived from an operator ratio, the leptonic phase is predicted to be anarchic — generic, with no preferred value — because neutrinos occupy the G2 singlet and are free of the three-form that structures the quark sector. Present data, in which the quark phase is precisely measured and the leptonic phase is poorly constrained, are consistent with this contrast, and the prediction is falsifiable: a special leptonic phase, such as a maximal value or a simple fraction, would contradict it. Second, the matter-antimatter asymmetry: we show that the framework satisfies all three Sakharov conditions structurally — baryon-number violation through the leptoquarks, charge and charge-parity violation through the phases and the parity-violating breaking, and departure from equilibrium through the sequential breaking cascade. The Standard Model fails to satisfy these jointly; the framework satisfies all three. The mechanism for generating a matter-dominated universe is therefore present, while the magnitude of the asymmetry, a produced quantity, is not derived. We give both results and their honest limits.
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Vali Ilyas (2026) studied this question.
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