trureturingGitHub MATHEMATICAL ATLAS

Scale / CONCEPT

Fibonacci Substitution Spectrum

The Fibonacci substitution has two golden eigenpairs and an exact contracting error.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES7
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Golden eigenpairs and contracting error

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Direct recorded relationships
Golden Ratio IdentitiesGolden Ratio IdentitiesFibonacci Substitution SpectrumFibonacci Substitution SpectrumContracting Axis Sign and DepthContracting Axis Sign and DepthFibonacci Matrix DiscriminantFibonacci Matrix DiscriminantMinimal Positive RepairMinimal Positive RepairFibonacci Convergent Error RatioFibonacci Convergent ErrorRatioScalar Memory BlindnessScalar Memory BlindnessGolden Lorentz UpdateGolden Lorentz UpdateGolden Visible-Hidden Hyperbolic TransportGolden Visible-HiddenHyperbolic Transport
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Scale
Node ID
D5/S1/Scale/FibonacciEigen
Repository path
D5/S1/Scale/FibonacciEigen.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.