c020_derivation_strategy
plain-language theorem explainer
The RS derivation strategy for the electroweak VEV asserts that the 246 GeV scale follows from the phi-ladder after fixing the electron mass rung and determining the rung difference Delta r. Physicists examining the hierarchy problem would cite this when replacing parameter tuning with ledger structure. The proof is a one-line wrapper reducing the entire claim to the trivial proposition.
Claim. The RS derivation strategy for the electroweak vacuum expectation value holds: complete the T9 electron mass derivation, set Delta r equal to the rung difference between the VEV and the electron, and verify that v equals m_e times phi to the power Delta r is consistent with the W and Z masses.
background
The module formalizes C-020 on the electroweak VEV v approximately 246 GeV inside the Recognition Science phi-ladder. Upstream definitions supply the necessary pieces: rung returns a natural number indexing the ladder position, m_e is the electron mass realized as E_coh times phi squared at rung 2, and scale(k) returns phi to the power k. The local setting treats mass scales as ledger positions rather than free parameters, with the VEV placed at rung 21 relative to the coherent energy scale E_coh equals phi to the minus 5.
proof idea
one-line wrapper that applies trivial
why it matters
This declaration occupies the C-020 registry slot and supplies the structural claim that the VEV belongs to the phi-ladder once the electron mass derivation closes. It sits downstream of the T5 J-uniqueness and T6 phi fixed-point steps and upstream of any future vev_from_ledger or vev_structure results. The open question it records is the precision extraction of the laboratory 246 GeV value from the phi^21 times E_coh calibration chain.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.