IndisputableMonolith.StandardModel.HiggsEFTLowEnergyLimit
This module assembles the master certificate for the Recognition Science cost-geometry to Standard Model EFT bridge. It composes the master certificates of the five imported modules without proving new results. The intent is a single named, auditable surface for the low-energy Higgs limit in Anil's chain. Researchers tracing the forcing chain to collider observables would cite this surface.
claimThe master certificate for the bridge from RS cost geometry to the SM Higgs EFT at low energy, formed as the structural composition of the certificates for electroweak mass relations $m_W^2 = g^2 v^2/4$, $m_Z^2 = (g^2 + g'^2)v^2/4$, the dimensionless coordinate $\\varepsilon = h/v$, Yukawa ratios $y_f = \\sqrt{2} m_f / v$, observable skeletons, and longitudinal vector scattering unitarity.
background
The module belongs to the StandardModel domain inside the Recognition Science framework, which derives all physics from the J-cost functional equation and the T0-T8 forcing chain. It imports five supporting modules whose doc-comments define the concrete links.
ElectroweakMassBridge states: "This module derives the Standard-Model gauge-boson mass relations from the recognition-substrate scale v plus generic positive gauge couplings g, g'." HiggsEFTBridge states: "This module formalises the first link in the chain RS cost geometry → effective scalar coordinate → canonical Higgs EFT." HiggsYukawaBridge states: "This module exposes the standard-model Yukawa coupling for a fermion as a ratio of an RS-derived mass to the electroweak scale v."
HiggsObservableSkeleton supplies the target surface of partial widths and signal strengths. LongitudinalVectorScattering supplies the unitarity cancellation in W_L W_L scattering. The root module IndisputableMonolith lists this as one of the six modules forming the SM Higgs EFT low-energy-limit chain.
proof idea
This is a structural composition module. Each component is the master certificate of the underlying module. No new theorems are proved; the module simply re-exports the five imported certificates under one named surface.
why it matters in Recognition Science
This module feeds the root IndisputableMonolith, which exposes the master forcing-chain theorem together with the six-module Standard-Model Higgs effective-field-theory low-energy-limit chain. It supplies the single auditable surface for the cost-geometry to SM-EFT bridge cited in the module doc-comment for Anil's chain.
scope and limits
- Does not derive numerical values for partial widths or branching ratios.
- Does not introduce new physical assumptions beyond the five imported bridges.
- Does not address regimes above the electroweak scale.
- Does not derive the Higgs mass from the J-cost equation.
- Does not replace the collider observable skeleton with explicit amplitudes.