IndisputableMonolith.Physics.Muon_g-2_FromJCost
This module derives the muon g-2 anomaly from the J-cost function in Recognition Science. It supplies domainCost definitions and the Muong23Cert object that certifies the match to the observed discrepancy. Particle physicists seeking RS-native accounts of the anomaly would cite it. The module builds its objects directly from the imported Constants and Cost primitives.
claimThe module introduces domainCost : domain → ℝ (the J-cost restricted to a physical domain) together with the certificate Muong23Cert asserting that the resulting value reproduces the measured muon anomalous magnetic moment within the RS-native units where τ₀ = 1 tick.
background
The module sits in the physics domain and imports the RS time quantum τ₀ = 1 tick from Constants together with the cost primitives from the Cost module. It defines domainCost as the restriction of the J-cost to a chosen domain, with supporting facts domainCost_at_eq (equality at the canonical point) and domainCost_nonneg (non-negativity). The canonicalThreshold supplies the positive cutoff used for cost comparisons, and Muong23Cert packages the resulting numerical certification for the muon g-2 value.
proof idea
This is a definition module. It constructs domainCost and the auxiliary facts by direct application of the imported cost functions, then assembles the certificate Muong23Cert as an inhabited object witnessing the numerical agreement with the observed anomaly.
why it matters in Recognition Science
The module supplies the concrete link from J-cost to the muon g-2 discrepancy that feeds higher-level Recognition Science physics derivations. It closes the specific step that converts the Recognition Composition Law and phi-ladder into a certified prediction for the anomalous magnetic moment.
scope and limits
- Does not compute the full Standard Model contribution to g-2.
- Does not address other anomalies such as the proton radius puzzle.
- Limits the derivation to the J-cost mechanism without additional fields.
- Provides only the certification object, not a full numerical simulation.