τ-Higgs Boson
The τ-Higgs is the radial breathing mode of the τ-framework's E₁ sector: not a separate "mass-giving field" but the diagonal scalar excitation of the linkage geometry whose vacuum value sets the Yukawa-overlap normalization for every massive fermion in the atlas.
τ-Definition
The τ-Higgs is the radial breathing mode of the τ-framework's E₁ sector: not a separate "mass-giving field" but the diagonal scalar excitation of the linkage geometry whose vacuum value sets the Yukawa-overlap normalization for every massive fermion in the atlas.
Categorical invariant. Scalar breathing mode of the E₁ sector; diagonal excitation of the τ-linkage geometry; Yukawa-overlap normalization mode.
Primary registry anchor:
IV.D04
τ-Derivation Chain
-
IV.D12— Particle Kind: a particle is a stable defect bundle on the T² fiber -
IV.D469— The Two Electroweak Forces — EM + Weak share a sector structure -
IV.D04— Higgs Sector at E₁ — the radial breathing mode of the linkage geometry -
IV.D143— τ-Yukawa Overlap Integral is normalized by the Higgs vacuum mode -
IV.D493— Higgs Measured Properties — vacuum value, self-coupling, observed mass
Lean modules referenced:
TauLib.BookIV.Electroweak.TauHiggs
SI Translation
Numerical value: 2.232e-25 ± 1.4e-27 kg
Calibration anchor: PG-P01-neutron
Calibration chain:
- m_n (anchor)
- ι_τ ≈ 0.341304
- E₁-sector breathing-mode amplitude (IV.D04)
- Higgs vacuum value v ≈ 246 GeV (IV.D493)
Manuscript reference: manuscript-sources/book-04/part03/ch26-tau-higgs.tex
Lean Coverage
Status: Formalized
Module: TauLib.BookIV.Electroweak.TauHiggs
Lean kind: theorem
Lean symbol: TauHiggs
See Also
Cross-domain bridges
This glossary term sits on the boundary between domains. The τ-framework's cross-domain pivots are the structural junctions where physics, life, and metaphysics readouts meet.