trureturingGitHub MATHEMATICAL ATLAS

Scale / CONCEPT

Golden Powers and Fibonacci Coordinates

Powers of the golden generator have consecutive Fibonacci coordinates.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES12
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Coordinates of positive powers

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Golden UnitsGolden UnitsGolden Powers and Fibonacci CoordinatesGolden Powers and FibonacciCoordinatesClosed Forms for the Two Beta ReadingsClosed Forms for the Two BetaReadingsGolden Desubstitution Face-Length Closed FormsGolden Desubstitution Face-Length Closed FormsDeficit: Zeckendorf Norm SignDeficit: Zeckendorf Norm SignFixed-Modulus Noncongruence of the Golden-Addition DeficitFixed-Modulus Noncongruence ofthe Golden-Addition DeficitFinite Fibonacci Sampling Smith DefectFinite Fibonacci Sampling SmithDefectGolden Fibonacci PartitionGolden Fibonacci PartitionScale: LucasScale: LucasCanonical Two-Sided Base-Phi ExpansionCanonical Two-Sided Base-PhiExpansionFirst Starts at Fibonacci DifferencesFirst Starts at FibonacciDifferencesWords: Nega FibonacciWords: Nega FibonacciReal Extension of Fibonacci Source Density RatiosReal Extension of FibonacciSource Density RatiosArith: Golden ApparitionArith: Golden Apparition
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S1
Domain
Scale
Node ID
D5/S1/Scale/Fibonacci
Repository path
D5/S1/Scale/Fibonacci.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.