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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20147313 |
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Table of Contents:
- <p>If a single pseudoscalar sources both cosmic birefringence and a gravitational-anomaly baryogenesis channel, the two observables are not independent. The same field normalization relates the electromagnetic excursion measured by β to the gravitational source excursion entering the anomalous current. We derive the corresponding convention-fixed target surface for the baryon yield Y_B, birefringence angle β, active mixed gravitational-anomaly coefficient C_X, coupling ratio Q_eff ≡ g_ϑRR/g_ϑFF, excursion-alignment factor A_ϑ ≡ Δϑ_grav/Δϑ_EM, and regulated transfer functional T_dyn.</p> <p>For the operator structure</p> <p>L ⊃ −¼ g_ϑFF ϑ F F̃ + ¼ g_ϑRR ϑ R R̃,</p> <p>with the birefringence normalization</p> <p>g_ϑFF Δϑ_EM = 2β,</p> <p>the matching relation is</p> <p>Y_B = β(2 Q_eff A_ϑ)(28/79)(C_X/384π²) T_dyn,</p> <p>or equivalently,</p> <p>Q_eff A_ϑ T_dyn = (79/28)(192π²/C_X)(Y_B/β).</p> <p>This identity is algebraic under the stated normalization, anomaly, sphaleron-conversion, and transfer-normalization assumptions. It is not, by itself, a completed baryogenesis model: C_X, Q_eff, A_ϑ, and T_dyn must be independently derived in any predictive realization. As an illustrative benchmark, inserting a homogeneous backreacted-envelope transfer value T_dyn⁰ᴰ ≃ 1.4 × 10⁻¹⁴ shows that the order-one branch with C_X = −3 and |Q_eff| = |A_ϑ| = 1 misses the required product in magnitude by ≃ 2.1 × 10⁹. This benchmark is not a universal no-go theorem or a model-independent upper bound. The durable result is a signed target surface that converts shared-pseudoscalar baryogenesis from a two-observable fit into an auditable inverse-map problem.</p>