ea001_certificate
plain-language theorem explainer
The ea001_certificate definition assembles a formatted status string asserting that the muon g-2 anomaly is resolved in Recognition Science. Experimental physicists tracking RS derivations would cite it as the terminal summary for the EA-001 case. Construction is a static concatenation of header text, positivity check lines drawn from sibling theorems, and a conclusion statement.
Claim. The EA-001 certificate is the string asserting positivity of the electromagnetic fine-structure constant, the Schwinger term, the gap-1332 factor, the RS counter-term, and that the RS prediction exceeds the Standard Model reference, thereby dissolving the muon g-2 anomaly via the φ-ladder at rung 13.
background
The Experimental.MuonGMinusTwo module treats the muon magnetic moment anomaly as a ~4.2σ discrepancy resolved by φ-ladder calibration of the muon mass at rung 13. It imports Constants for RS-native units (c=1, ħ=φ^{-5}) and FlybyAnomaly for the parallel anomaly_dissolved result. Upstream theorems supply the required positivity: alpha_em_pos states α>0, schwinger_positive states the term α/(2π)>0, gap_factor_pos states 1/(1332φ)>0, rs_counter_positive states the counter-term (α/π)φ^{-13}×gap>0, rs_exceeds_sm states the RS prediction exceeds the SM reference, and anomaly_dissolved concludes the resolution.
proof idea
The definition is a direct string literal formed by concatenating a fixed header, six checkmark lines referencing the positivity theorems (alpha_em_pos, schwinger_positive, gap_factor_pos, rs_counter_positive, rs_exceeds_sm, anomaly_dissolved), a rung confirmation line, and a conclusion sentence. No tactics or reductions are applied; the body is pure concatenation.
why it matters
This certificate completes the EA-001 derivation inside the Recognition Science framework by packaging the φ-ladder resolution of the muon anomaly (T5 J-uniqueness and T6 phi fixed point) into a single artifact. It draws directly on the module's anomaly_dissolved theorem and mirrors the FlybyAnomaly pattern. No downstream uses are recorded, leaving it as a terminal summary for experimental claims.
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