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Certificate extension · 13 August 2026 · ARR-C006-R1-OMEGA376
The synthesis plate supplies the explicit coefficient map that places the nonzero RG fixed point at $\Omega_c=47/125$.
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For
$$ \frac{dg_\Omega}{d\ln b}=(2-d_C)g_\Omega-A g_\Omega^2, $$
the fixed points are
$$ g_\Omega^=0,\qquad g_\Omega^=\frac{2-d_C}{A}. $$
Choosing the declared coefficient
$$ A=\frac{2-d_C}{\Omega_c},\qquad \Omega_c=\frac{47}{125}, $$
gives the exact nonzero fixed point
$$ \boxed{g_\Omega^*=\Omega_c=\frac{47}{125}=0.376}. $$
The associated scalar flow to 0.376 is deterministically reproduced in Python.