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 CONSEQUENCES5
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 DiscriminantFibonacci Convergent Error RatioFibonacci Convergent ErrorRatioGolden Lorentz UpdateGolden Lorentz UpdateGolden Visible-Hidden Hyperbolic TransportGolden Visible-HiddenHyperbolic Transport
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

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LIBRARY / RELEASE VERSIONS

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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:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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.