IndisputableMonolith.Constants.ElectroweakVEVStructure
The electroweak vacuum expectation value is fixed by the Recognition Science ledger, not left as a free Standard Model input. The module packages structural claims that place the VEV on the phi-ladder, tie it to the W/Z mass hierarchy, and treat the hierarchy problem as a free-parameter artifact. Fermi-constant scoring and the unified forcing chain import this layer. Content is structural packaging of the upstream EWSB scale framework.
claimIn Recognition Science the electroweak vacuum expectation value $v$ is ledger-determined: it occupies a definite $\varphi$-ladder position, lies in a fixed numerical window, and is not an independent free parameter. Structural consequences recorded here include $v$ fixing the electroweak scale, the $W/Z$ mass hierarchy, and dissolution of the hierarchy problem once $v$ is no longer free.
background
In the Standard Model the electroweak scale is set by the Higgs vacuum expectation value $v \approx 246$ GeV, entered as a free parameter. Recognition Science replaces free dimensionful inputs with ledger structure: the J-cost, the golden-ratio fixed point $\varphi$, and the phi-ladder organization of masses and scales.
The upstream module ElectroweakScaleStructure (registry E-004) formalizes the question "What determines the electroweak scale?" as an RS structural framework for electroweak symmetry breaking. This Constants module specializes that framework into named VEV claims: not a free parameter, derived from the ledger, confined to a $\varphi$-window, located on the phi-ladder, and linked to the $W/Z$ hierarchy.
Sibling names in the module mark the intended surface: ledger origin, scale implication, $\varphi \neq 1$, ladder position, mass hierarchy, hierarchy-problem dissolution, and canonical/in-range witnesses used by downstream score cards.
proof idea
This is a structure and constants module, not a single theorem with one proof. It re-exports and names the RS electroweak-scale package from the upstream QFT formalization: definitions and structural lemmas asserting that the VEV is ledger-fixed, implies the electroweak scale, sits in a $\varphi$-window on the ladder, and forces the $W/Z$ hierarchy reading. Hierarchy-problem dissolution is the corresponding non-claim that a free $v$ was the source of the apparent tuning. Expect definitional packaging plus short structural implications rather than a long constructive derivation inside this file.
why it matters in Recognition Science
Downstream, FermiConstantScoreCard (Phase 1 row P1-C01) imports this module for the natural-unit electroweak identity needed to score the Fermi constant against ledger structure. UnifiedForcingChain also imports it while proving that T0–T8 are forced from the cost foundation (Recognition Composition Law), so electroweak-scale structure sits inside the same constants layer as the forcing chain.
In framework terms the module answers E-004 at the Constants boundary: once $v$ is ledger-determined on the $\varphi$-ladder, related observables ($G_F$, $W/Z$ hierarchy) become scoreable rather than fitted free inputs, and the hierarchy problem is reclassified as an artifact of treating $v$ as free. It does not by itself close numerical mass formulas; it supplies the structural VEV interface those closures need.
scope and limits
- Does not by itself compute a first-principles numerical value for $v$.
- Does not derive the full Higgs potential, Yukawa sector, or loop corrections.
- Does not replace the upstream QFT electroweak-scale formalization (E-004).
- Does not claim a precision experimental fit beyond structural window and hierarchy statements.
- Does not prove the entire T0–T8 forcing chain; that lives downstream.
used by (2)
depends on (1)
declarations in this module (14)
-
theorem
vev_not_free_parameter -
def
vev_from_ledger -
theorem
vev_structure -
theorem
vev_implies_scale -
theorem
vev_phi_window -
theorem
vev_implies_phi_ne_one -
theorem
vev_phi_ladder_position -
theorem
vev_wz_mass_hierarchy -
theorem
hierarchy_problem_dissolution -
theorem
c020_derivation_strategy -
def
vev_canonical -
theorem
vev_in_range -
theorem
vev_canonical_pos -
theorem
vev_electron_rung_27_order