trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Root-Pulse Refinement Depth

The root-pulse chain raises and then lowers completion depth while attaining the finite-state bound.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH12
DOCUMENT LINKS1
THEOREM

Refinement depth is nonmonotone and the bound is sharp

RELATIONSHIP ATLAS

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Direct recorded relationships
Root Pulse SharpnessRoot Pulse SharpnessRoot-Pulse Refinement DepthRoot-Pulse Refinement Depth
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.