IndisputableMonolith.Physics.HiggsVEVFromJCost
This module certifies that a top Yukawa coupling near unity sets the top-loop recognition ratio exactly to one, allowing the Higgs vacuum expectation value to be read off from the J-cost. Researchers deriving electroweak parameters from the phi-ladder and recognition composition law would cite it. The module consists of targeted definitions and a certification object that links the imported time quantum to the Higgs VEV under the stated Yukawa condition.
claimWith top Yukawa $y_t$ satisfying $y_t = 1$, the top-loop recognition ratio equals unity and the Higgs vacuum expectation value is obtained directly from the J-cost function on the phi-ladder.
background
The module imports Constants, whose sole documented object is the fundamental RS time quantum defined as τ₀ = 1 tick. It introduces the HiggsVEVFromJCost construction together with the sibling objects EWBREAKINGChannel, topYukawa, and HiggsVEVCert. The local theoretical setting is the Recognition Science derivation of particle masses and couplings from the J-cost and the recognition composition law, with the top quark loop singled out because its Yukawa is taken to be order one.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the HiggsVEVCert object that feeds the EWBREAKINGChannel and topYukawa_eq_one siblings. It fills the explicit step in which the top-loop recognition ratio is normalized to unity when y_t ~ 1, thereby closing the link between the J-cost and the Higgs vacuum expectation value inside the physics layer of the forcing chain.
scope and limits
- Does not derive the numerical value of the top Yukawa from the forcing chain.
- Does not treat loops of other fermions or bosons.
- Does not compute renormalization-group evolution of couplings.
- Does not address higher-order corrections beyond the leading J-cost term.