trureturingGitHub MATHEMATICAL ATLAS

Words / CONCEPT

First Starts at Fibonacci Differences

Locate the first longest monochromatic progression at every Fibonacci difference.

Closed Authored exposition
DIRECT PREREQUISITES9
DIRECT CONSEQUENCES1
PROOF DEPTH18
DOCUMENT LINKS0
THEOREM

An orbit confined to an open interval

RELATIONSHIP ATLAS

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Direct recorded relationships
Golden Substitution-Start SharpnessGolden Substitution-StartSharpnessGolden Fractional PartGolden Fractional PartPhase: ReturnsPhase: ReturnsGolden Powers and Fibonacci CoordinatesGolden Powers and FibonacciCoordinatesFibonacci Word Progression BoundFibonacci Word ProgressionBoundGolden Mechanical Word WindowGolden Mechanical Word WindowThe Infinite Golden WordThe Infinite Golden WordBalance of Lower Mechanical WordsBalance of Lower MechanicalWordsGolden Bridge for Lower Mechanical WordsGolden Bridge for LowerMechanical WordsFirst Starts at Fibonacci DifferencesFirst Starts at FibonacciDifferencesA Sturmian Cumulative Bound FailsA Sturmian Cumulative BoundFails
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
18
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/FibonacciMapFirstStart
Repository path
D5/S1/Words/FibonacciMapFirstStart.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
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.