IndisputableMonolith.Physics.HiggsVEVFromJCost
The module derives the Higgs vacuum expectation value from the J-cost function under the condition that the top Yukawa coupling near one sets the top-loop recognition ratio to unity. Researchers constructing electroweak symmetry breaking in Recognition Science cite this module. The content consists of definitions that link the Yukawa parameter to the unit ratio via the time quantum imported from Constants.
claimWhen the top Yukawa coupling satisfies $y_t \sim 1$, the recognition ratio for the top loop equals one: $R_{ m top} = 1$. This normalizes the J-cost input to the Higgs vacuum expectation value.
background
The module operates in the Recognition Science setting where the fundamental time quantum is defined as $ au_0 = 1$ tick. It introduces the connection between the top Yukawa coupling and the recognition ratio within the J-cost framework for the Higgs vacuum expectation value. The upstream Constants module supplies the time quantum used to scale recognition ratios.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module feeds HiggsVEVCert and the electroweak breaking channel declarations. It supplies the normalization step where top Yukawa near unity fixes the top-loop recognition ratio at one, supporting the mass formula on the phi-ladder.
scope and limits
- Does not derive the numerical value of the top Yukawa coupling.
- Does not address loops from other fermions.
- Does not compute the Higgs VEV magnitude.
- Does not incorporate quantum corrections beyond the top loop.