pith. sign in
def

V_ub_pred

definition
show as:
module
IndisputableMonolith.Physics.CKMGeometry
domain
Physics
line
60 · github
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plain-language theorem explainer

The definition sets the predicted CKM element V_ub to half the fine-structure constant. CKM phenomenology groups cite it when checking geometric predictions for theta_13 against measured mixing angles. It reduces to a direct reference to the leakage term from the alpha derivation.

Claim. $|V_{ub}|_{pred} = {alpha}/2$

background

The CKM Geometry module derives the three mixing angles from cubic ledger couplings under the T11 hypothesis. fine_structure_leakage is defined as Constants.alpha / 2 and represents the parity-split coupling between non-adjacent generations mediated by vacuum polarization. vertex_edge_slots equals 2 times the number of edges in a 3-cube and supplies the exact 1/24 ratio for V_cb.

proof idea

One-line definition that aliases V_ub_pred directly to fine_structure_leakage.

why it matters

It supplies the V_ub input to CKMElementScoreCardCert and to jarlskog_witness_pos. The declaration completes the T11 geometric prediction for theta_13, linking the alpha band to the ledger geometry and the eight-tick octave structure.

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