IndisputableMonolith.Physics.RGTransportCertificate
The module certifies the RG transport exponent f^RG_i(μ*, μ_end) for each Standard Model fermion from the canonical recognition policy. Particle physicists needing rigorous scale-dependent bounds on masses or couplings in the Recognition Science setting would cite it. The module structures this as a collection of definitions for the certified function together with tolerance and interval lemmas anchored in the upstream fermion and gap definitions.
claimThe certified RG transport exponent $f_i^{RG}(\\,mu^*, \\,mu_{\rm end})$ for fermion $i$ is obtained from the canonical policy, with certification via absolute-error bounds derived from the gap function $F(Z_i)$ where $Z_i$ is the charge-indexed integer from the Anchor bridge.
background
The module sits in the Physics domain and imports the RSBridge.Anchor module. That upstream module defines the 12 Standard Model fermions, the charge-indexed integer $Z_{\rm Of} = \tilde q^2 + \tilde q^4$ (+4 for quarks), the gap function $F(Z) = \ln(1 + Z/\phi)/\ln(\phi)$, and massAtAnchor at the anchor scale $\mu^\star$.
The present module supplies the certified version of the RG transport exponent between the anchor scale $\mu^*$ and an endpoint scale $\mu_{\rm end}$, using the gap function to control the error.
The local theoretical setting is the direct bridge from recognition constants (phi-ladder, J-cost) to running Standard Model quantities under the canonical policy.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the certified RG transport exponent that connects the anchor scale to running scales, feeding into mass-ladder calculations that rely on the gap function and phi-ladder. It fills the interface between the RSBridge.Anchor definitions and any higher-level physics claims that require scale-dependent transport under the Recognition Science framework.
scope and limits
- Does not compute explicit numerical values for any specific fermion.
- Does not extend the certification beyond the 12 Standard Model fermions.
- Does not address non-canonical policies or non-SM particles.
- Does not derive the underlying gap function or Z-mapping.