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E0 CITIZEN · POSITIVE-OPERATOR PLATFORM

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$\mathcal Q[\mathsf{Positive\ Kernel\ Hamiltonian}\mid K^2=K^{\dagger}K;\operatorname{End}(\Sigma);K^2\succeq0\land\ker K^2=E_{47};E0;\varnothing]$

Positive spectrum

$\sigma(K^2)\setminus\{0\}=\{11664,12544,19600,32400,186624\}.$

Transit credential

Route: Projector Depot → Contraction Platform

Evidence: E0 exact

Boundary: Positive semidefinite operator induced by $K$.