IndisputableMonolith.Experimental.MuonGMinusTwoStructure
This module assembles the Recognition Science ledger model for the muon anomalous magnetic moment and derives that its structure forces positivity of phi. Particle physicists examining lepton precision anomalies would cite it to connect g-2 deviations to the self-similar fixed point. The argument proceeds by defining the anomaly via J-cost balances on the phi-ladder and extracting the sign constraint algebraically from upstream constants.
claimMuon g-2 structure in Recognition Science implies $phi > 0$, where $phi$ is the golden-ratio fixed point satisfying $J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y)$.
background
Recognition Science models lepton anomalies on the phi-ladder using the J-cost function and defect distances. The module imports Constants, whose base object is the fundamental RS time quantum $tau_0 = 1$ tick. It places the muon g-2 structure inside the forcing chain (T5 J-uniqueness to T6 phi fixed point) and treats the anomaly as a specific ledger balance whose sign constraint propagates to phi.
proof idea
This is a definition module, no proofs. It introduces muon_g_minus_two_from_ledger and muon_g_minus_two_structure as ledger-derived objects, then isolates the algebraic step that extracts phi positivity from those definitions.
why it matters in Recognition Science
The module feeds IndisputableMonolith.Experimental.BMesonAnomaliesStructure, supplying the muon g-2 to phi-positivity link that extends experimental constraints across lepton and meson sectors. It fills the chain step that converts observed magnetic-moment deviations into a sign requirement on the self-similar fixed point phi.
scope and limits
- Does not compute the numerical value of the muon g-2 discrepancy.
- Does not incorporate Standard Model radiative corrections.
- Does not address electron g-2 or tau anomalies.
- Does not derive the numerical value of phi from the anomaly.