module module high

`IndisputableMonolith.Constants.ElectroweakVEVStructure`

ElectroweakVEVStructure establishes that the electroweak vacuum expectation value is fixed by the Recognition Science ledger instead of entering as a free parameter. Physicists deriving the electroweak scale from the phi-ladder or resolving the hierarchy problem cite the module when connecting EWSB to the forcing chain. The module organizes its content as a sequence of definitions and lemmas that link the VEV to ledger constraints and the J-function.

claimIn Recognition Science the electroweak vacuum expectation value satisfies $v_{EW} = $ yardstick $× ϕ^r$ for rung $r$ on the phi-ladder, with the scale fixed by ledger structure rather than chosen freely.

background

The module imports the structural framework of IndisputableMonolith.QFT.ElectroweakScaleStructure, whose doc-comment registers the item E-004 on what determines the electroweak scale. It introduces sibling declarations such as vev_not_free_parameter, vev_from_ledger, vev_phi_window and hierarchy_problem_dissolution that translate ledger rules into concrete constraints on $v_{EW}$. The setting assumes the Recognition Composition Law together with the eight-tick octave and T5 J-uniqueness from the upstream forcing chain.

proof idea

This is a definition module, no proofs. It collects declarations that progressively constrain the VEV from the ledger through the phi-ladder position and the J-cost relations.

why it matters in Recognition Science

The module supplies the structural foundation for the FermiConstantScoreCard, which treats the natural-unit electroweak identity as Phase 1 row P1-C01. It contributes to dissolving the hierarchy problem by fixing the scale via the phi-ladder, consistent with T8 forcing of three spatial dimensions and the alpha band constraints.

scope and limits

Does not compute a numerical value for $v_{EW}$ beyond the phi window.
Does not address renormalization-group flow or loop corrections.
Does not extend the ledger determination to strong or gravitational scales.
Does not incorporate flavor structure or CP phases.

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