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Red Line district ยท Canonical plate foundations

Red marks theorem plates, exact constructions, and canonical mathematical summaries. Visual presentation does not alter the underlying evidence class. Transfer through the Subway Python Transit Map.

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These plates contain the exact finite-dimensional construction or direct consequences of it. They are the primary visual record of the canonical $E_{47}$ formalism.

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Sequence

  1. The Validated Formalism
  2. Diagram of a Unit
  3. Spectral-Kernel Projection
  4. The Rosetta Torus

The sequence moves from theorem-level decomposition, to visual anatomy, to the contraction mechanism, to a translation-invariant spatial lift.

Visual Companion โ€” E47 Canonical Theorem Plate

Diagram of a Unit โ€” Anatomy of the 47-Dimensional Invariant

Spectral-Kernel Projection โ€” Symmetry-Preserving Contraction

The Rosetta Torus โ€” Translation-Invariant Spatial Lift

Plate audit note โ€” July 20, 2026

The Diagram of a Unit, Spectral-Kernel Projection, and Rosetta Torus plates have been reclassified under the controlling chain

$$ V_2^{\otimes3}\to C\to K\to E_{47}\to P_{47}\to\Omega_c. $$

The exact decomposition is $E_{47}=5V_2\oplus2V_5$, not any alternative partition of 47. Stable projector convergence uses $I-\varepsilon K^\dagger K$. Spatial lifts preserve the 47-dimensional internal kernel only when the spatial operator, tensor-product construction, and kernel factorization are explicitly declared and verified. Deterministic residuals remain machine-precision numerical evidence and are not described with five-sigma language.