trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Finite Paired Harmonic Rank Boundary

Two positive harmonic pairs have rank at most four thirds; three pairs can approach two, and every finite injective paired family has rank strictly below two.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
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THEOREM

The complete one-or-two-pair upper bound

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Physical correlation on a rescaled moving domainPhysical correlation on arescaled moving domainTwo-Harmonic Rotation ObstructionTwo-Harmonic RotationObstructionFinite Paired Harmonic Rank BoundaryFinite Paired Harmonic RankBoundary
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/ObservationTopology/HarmonicSensors/FiniteRankBoundary
Repository path
D5/S3/ConceptDynamics/ObservationTopology/HarmonicSensors/FiniteRankBoundary.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.