Canonical boundary: See Canonical Corrected Formalism. The $E_{47}$ construction and $47/125$ dimension ratio are exact facts. Any map from $\Omega_c$ to the fine-structure constant is a separate bridge whose arithmetic may be exact after definition, while uniqueness and physical derivation remain open.
The plate titled E47 to alpha inverse Bridge: Exact Conditional Validation is adopted as the current visual status statement for this bridge.
Exact conditional arithmetic with high numerical agreement to the reference measurement; open uniqueness and physical-derivation problem.
The reported agreement statistic is not a five-sigma discovery claim. Five-sigma terminology would require a declared null hypothesis, sampling distribution, systematic-error model, and trial correction.
Source plates: AF14661C-8FF6-4BAF-B059-133377DF0D7D.png and B090DAD5-8DC6-446A-B5F9-3E1A7EE3AFAA.png.
The finite-dimensional chain $V_2^{\otimes3}\to C\to K\to E_{47}\to P_{47}\to\Omega_c$ remains exact. The reviewed closure plate then defines
$$ H=\frac1{11}+\frac1{125\cdot11^3}=\frac{15126}{166375} $$
and
$$ \Omega_e=544-182\sqrt5+\frac{H}{245}. $$
Fresh deterministic recomputation gives