row_electron_ae_leading
plain-language theorem explainer
The leading Schwinger term for the electron anomalous magnetic moment is defined as the fine-structure constant divided by twice pi. Physicists comparing Recognition Science to CODATA g-2 data cite this slice when isolating the first-order QED contribution. The definition is a direct expression that supplies the value for interval bounds and residual checks in the scorecard module.
Claim. $a_e^{(1)} := {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a_e^{(1)}} = {a
background
The Electron g-2 Score Card module implements Phase 1 row P1-C05 from the physical derivation plan. It isolates the leading Schwinger term a_e^(1) = alpha over 2 pi and uses the certified RS alphaInv interval to prove the bounds 0.001161 < a_e^(1) < 0.001162. The CODATA electron anomaly is stated as 0.00115965218059..., with the leading term alone within 0.3 percent of that value.
proof idea
The declaration is a one-line definition that directly computes the ratio of alpha to twice pi. It applies the upstream definition of alpha as the reciprocal of alphaInv without lemmas or tactics.
why it matters
This definition supplies the core value for the ElectronGMinus2ScoreCardCert structure, which certifies the leading bracket and the Schwinger relative residual below 0.003. It fills the P1-C05 slot in the plan and provides the initial QED contribution derived from RS constants. Higher-order loop terms remain open, leaving the full row as a partial theorem.
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