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Information Geometry of B(O,C): Connection to Perelman's S³ Topology, KL-Identity and Archimedean Isoperimetric Defect (π−3)² — Overview
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Places ODTOE coherence B(O,C) and observer-correlator metric on a single statistical manifold. Three results: (i) −logB = D_KL(p_θ||p*) as exact identity; (ii)
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Places ODTOE coherence B(O,C) and observer-correlator metric on a single statistical manifold. Three results: (i) −logB = D_KL(p_θ||p*) as exact identity; (ii) Fisher metric coincides with observer-correlator formula F1; (iii) Archimedean isoperimetric defect (π−3)² as PL-invariant. Direct proof of simply-connectedness of the bootstrap-closure stratum via Banach chain.