module module high

`IndisputableMonolith.Constants.ElectroweakVEVStructure`

The module establishes that the electroweak vacuum expectation value is fixed by the Recognition Science ledger rather than treated as a free input. Researchers deriving the electroweak scale or addressing the hierarchy problem cite it when connecting EWSB to the forcing chain. The structure imports the E-004 framework and assembles lemmas that tie the VEV to ledger quantities and the phi ladder.

claimIn Recognition Science the electroweak vacuum expectation value satisfies $v = $ ledger expression, so that $v$ is not a free parameter and lies on the phi ladder at a definite rung.

background

The module belongs to the Constants domain and imports the structural framework of ElectroweakScaleStructure, whose doc-comment states it formalizes E-004 on what determines the electroweak scale. It introduces sibling declarations such as vev_from_ledger and vev_not_free_parameter that express the VEV directly in terms of ledger quantities and the phi fixed point. The local setting is the Recognition Science derivation in which all dimensionful constants descend from the J-cost function and the self-similar fixed point without external scales.

proof idea

This is a definition and lemma module that assembles the structural relations for the VEV; the argument consists of a sequence of declarations linking the scale to the ledger and the phi ladder, with no single enclosing proof.

why it matters in Recognition Science

The module supplies the electroweak VEV structure required by the FermiConstantScoreCard for phase 1 row P1-C01, which records the natural-unit electroweak identity. It advances the E-004 derivation by showing the scale is ledger-determined and thereby removes one free parameter from the electroweak sector.

scope and limits

Does not compute a numerical value for the VEV.
Does not derive the full electroweak Lagrangian or couplings.
Does not address loop corrections or renormalization-group flow.
Does not treat the strong sector or QCD scale.

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

IndisputableMonolith.Constants.FermiConstantScoreCard module_import

depends on (1)

Lean names referenced from this declaration's body.

IndisputableMonolith.QFT.ElectroweakScaleStructure module_import

declarations in this module (14)

theorem vev_not_free_parameter L27
def vev_from_ledger L31
theorem vev_structure L36
theorem vev_implies_scale L39
theorem vev_phi_window L43
theorem vev_implies_phi_ne_one L47
theorem vev_phi_ladder_position L66
theorem vev_wz_mass_hierarchy L87
theorem hierarchy_problem_dissolution L108
theorem c020_derivation_strategy L130
def vev_canonical L151
theorem vev_in_range L154
theorem vev_canonical_pos L158
theorem vev_electron_rung_27_order L164