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ADMITTED · 13 August 2026 · E0 + E1 · Machine validated

This citizen upgrades the established rank-5 projector into a single convergent operator route $125\to47\to5$.

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Canonical identity

$A_{\mathrm{can}}=K^2+11664(I-\Pi_{\mathrm{sym}})$

$\ker A_{\mathrm{can}}=\operatorname{im}P_{\mathrm{can}}$,

$\operatorname{rank}P_{\mathrm{can}}=5$,

and

$\|\Gamma_{\mathrm{can}}^n-P_{\mathrm{can}}\|_2=(15/17)^n$ for

$\Gamma_{\mathrm{can}}=I-A_{\mathrm{can}}/99144$.

Dependencies

RUB5-C13 · Shared-Carrier S₃ Symmetry Bridge

→ RUB5-C14 · S₃-Resolved 125/47 Character Decomposition

→ RUB5-C15 · Canonical Rank-5 E47 Descendant Projector

→ RUB5-C16

Certificate

🧾 RUB5-JSSC-20260813 — Joint Spectral–Symmetry Convergence Theorem · Drive monograph · Python validator · JSON witness

Boundary

Exact for the finite 125-dimensional construction. No independent physical or empirical claim is added.

Provenance reconciliation · 13 August 2026