IndisputableMonolith.Physics.HiggsBosonFromJCost
The module sets up the Higgs boson derivation from J-cost in Recognition Science. It identifies the recognition vacuum J(1) = 0 with the Higgs VEV at equilibrium. Sibling declarations define related properties such as mass positivity and symmetry. The module imports the Cost module and contains no proof bodies.
claim$J(1) = 0$ denotes the recognition vacuum, corresponding to the Higgs vacuum expectation value at equilibrium. The module also introduces positive mass and symmetry conditions for the Higgs boson derived via J-cost.
background
Recognition Science builds physics from a single functional equation involving the J-cost, where J(x) satisfies the Recognition Composition Law. The upstream Cost module supplies the definition of J and related cost functions. This module's doc-comment highlights the recognition vacuum J(1) = 0 as the Higgs VEV at equilibrium, providing the setting for Higgs boson certification through declarations like higgs_vacuum and HiggsBosonCert.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module establishes the Higgs sector within the Recognition Science framework by linking J-cost to the vacuum state. It aligns with the forcing chain steps including J-uniqueness and the eight-tick octave. It prepares for mass formulas on the phi-ladder, though no specific parent theorems are listed in the used_by edges.
scope and limits
- Does not compute a numerical value for the Higgs mass.
- Does not address gauge symmetries or electroweak breaking in detail.
- Does not connect to experimental data or alpha band constraints.