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E0 CITIZEN · CONTINUOUS FLOW PLATFORM

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$\mathcal Q[\mathsf{Continuous\ Projection}\mid\Phi_t:=e^{-tK^2};\operatorname{End}(\Sigma);\lim_{t\to\infty}\Phi_t=P_{47};E0;t\ge0]$

Canonical limit

$\forall x\in\Sigma:\quad\lim_{t\to\infty}e^{-tK^2}x=P_{47}x.$

Transit credential

Route: Positive-Operator Platform → Continuous Flow

Evidence: E0 exact

Boundary: Strong and operator-norm convergence in finite dimension.