THM0189canonicalv1Confinement Bridge Identity
E₆(iι_τ)·κ(C;3)² = −1/(1−ι_τ)² within ±10 ppm. Reduces algebraically to the E₆ near-identity E₆·ι⁶ ≈ −1 since κ(C;3)² = ι⁶/(1−ι)². Closes OQ.07 (C-sector/SU(3) bridge). S-duality transport gives residual = 504·q' where q' = e^{−2π/ι_τ} ≈ 10⁻⁸.
Payload
Confinement Bridge Identity
E₆(iι_τ)·κ(C;3)² = −1/(1−ι_τ)² within ±10 ppm. Reduces algebraically to the E₆ near-identity E₆·ι⁶ ≈ −1 since κ(C;3)² = ι⁶/(1−ι)². Closes OQ.07 (C-sector/SU(3) bridge). S-duality transport gives residual = 504·q’ where q’ = e^{−2π/ι_τ} ≈ 10⁻⁸.
Confinement Bridge Identity
Summary
E₆(iι_τ)·κ(C;3)² = −1/(1−ι_τ)² within ±10 ppm. Reduces algebraically to the E₆ near-identity E₆·ι⁶ ≈ −1 since κ(C;3)² = ι⁶/(1−ι)². Closes OQ.07 (C-sector/SU(3) bridge). S-duality transport gives residual = 504·q’ where q’ = e^{−2π/ι_τ} ≈ 10⁻⁸.
Statement
No manuscript statement was extracted in this pilot run.
Proof / Justification
No immediate manuscript proof block was extracted in this pilot run.
Source Context
- Registry source:
book-03.jsonlline 211 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Spectral.ConfinementBridge - Name:
Tau.BookIII.Spectral.ConfinementBridge.confinement_bridge
Dependencies
- Canonical: III.D80, III.T14, IV.D03, IV.D07
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
III.T54confinement-bridge-identitythm:confinement-bridgeRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (2)
Appears in (1)
Downstream uses (computed) (4)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
Sources
Version & History
Status disclaimer
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