higgsDiscovery
plain-language theorem explainer
This definition records the 2012 LHC discovery of the Higgs boson as the remaining scalar after electroweak symmetry breaking. Physicists deriving the Standard Model from J-cost minimization cite it to identify the physical Higgs field H in the expansion phi = (v + H)/sqrt(2). The entry is a direct string assignment accompanied by a note on mass-dependent couplings.
Claim. After electroweak symmetry breaking the remaining scalar degree of freedom is the Higgs boson $H$, with field expansion $phi = (v + H)/sqrt(2)$, discovered at the LHC (ATLAS and CMS) on 4 July 2012 with mass approximately 125 GeV.
background
The module derives electroweak symmetry breaking from the J-cost functional, which replaces the conventional Higgs potential. The upstream reparametrization H(x) = J(x) + 1 converts the Recognition Composition Law into the d'Alembert equation H(xy) + H(x/y) = 2 H(x) H(y). The vacuum expectation value v is identified with the J-cost minimum, leaving a single scalar mode after the symmetry SU(2)_L x U(1)_Y to U(1)_EM is broken.
proof idea
This is a definition that directly assigns the string literal recording the LHC discovery date; no lemmas are applied and no tactics are used.
why it matters
The entry anchors the physical Higgs boson inside the Recognition Science derivation of electroweak breaking from J-cost. It fills the module target of identifying the remaining scalar after the potential minimum is selected, consistent with the phi-ladder and the eight-tick octave structure. No downstream theorems reference it yet.
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