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Given a graph Laplacian $L$ and a duality operator $P$ (a symmetric involution), Prism computes the \\emph{duality defect} $\\delta(L,P) = \\|LP - PL\\|_F / \\|L\\|_F$ -- a scalar measuring how far the network deviates from structural self-consistency. When $P$ encodes the network's true symmetry, $\\delta$ starts near zero and rises monotonically as structure degrades; an arbitrary $P$ gives noise. 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Given a graph Laplacian $L$ and a duality operator $P$ (a symmetric involution), Prism computes the \\emph{duality defect} $\\delta(L,P) = \\|LP - PL\\|_F / \\|L\\|_F$ -- a scalar measuring how far the network deviates from structural self-consistency. When $P$ encodes the network's true symmetry, $\\delta$ starts near zero and rises monotonically as structure degrades; an arbitrary $P$ gives noise. 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