Leptonic CP and the Origin of Matter: Anarchic Phase and the Three Sakharov Conditions in the G2 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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-24
DOI
https://doi.org/10.5281/zenodo.21519709
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

Leptonic CP and the Origin of Matter: Anarchic Phase and the Three Sakharov Conditions in the G2 Framework

Vali Ilyas
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

Leptonic CP and the Origin of Matter: Anarchic Phase and the Three Sakharov Conditions in the G2 Framework

Vali Ilyas
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Kamloops Art Gallery (CA)
Peace, Justice and strong institutions
Particle physics theoretical and experimental studies
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Leptonic CP and the Origin of Matter: Anarchic Phase and the Three Sakharov Conditions in the G2 Framework — Vali Ilyas · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS