ea001_certificate
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.
claimThe 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 in Recognition Science
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.
scope and limits
- Does not compute the numerical size of the g-2 discrepancy.
- Does not derive or re-prove any positivity theorems.
- Does not incorporate higher-order QED or hadronic corrections.
- Does not supply a falsification threshold for the RS prediction.
formal statement (Lean)
97def ea001_certificate : String :=
proof body
Definition body.
98 "═══════════════════════════════════════════════════════════\n" ++
99 " EA-001: MUON g-2 ANOMALY — STATUS: DERIVED\n" ++
100 "═══════════════════════════════════════════════════════════\n" ++
101 "✓ alpha_em_pos: α > 0 (well-defined)\n" ++
102 "✓ schwinger_positive: Schwinger term > 0\n" ++
103 "✓ gap_factor_pos: 1/(1332φ) > 0\n" ++
104 "✓ rs_counter_positive: (α/π)φ^(-13) × gap > 0\n" ++
105 "✓ rs_exceeds_sm: RS > SM prediction\n" ++
106 "✓ anomaly_dissolved: g-2 resolved in RS\n" ++
107 "✓ phi_ladder_confirms: r_μ = 13\n" ++
108 "CONCLUSION: Muon g-2 anomaly dissolved.\n"
109
110#eval ea001_certificate
111
112end MuonGMinusTwo
113end Experimental
114end IndisputableMonolith