trureturingGitHub MATHEMATICAL ATLAS

ObserverMemory / CONCEPT

Phase-Record Recovery Criterion

Finite phase records recover exactly at unit overlap, while strict overlap contraction leaves a squared residual factor.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

Finite phase-record recovery and its two obstructions

RELATIONSHIP ATLAS

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Direct recorded relationships
Joint Reversal of Unimodular Record PhasesJoint Reversal of UnimodularRecord PhasesPhase-Record Recovery CriterionPhase-Record Recovery Criterion
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

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RELATED KNOWLEDGE

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LIBRARY / RELEASE VERSIONS

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.