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Words / CONCEPT

A Sturmian Cumulative Bound Fails

Refute the cumulative Sturmian bound at slope two minus square root three.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH19
DOCUMENT LINKS0
THEOREM

Refutation at the first convergent

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First Starts at Fibonacci DifferencesFirst Starts at FibonacciDifferencesWords: Floor Fract ShiftWords: Floor Fract ShiftWords: Irrational Fract NonvanishingWords: Irrational FractNonvanishingBalance of Lower Mechanical WordsBalance of Lower MechanicalWordsA Sturmian Cumulative Bound FailsA Sturmian Cumulative BoundFails
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Lean sourceResearch workspace
Status
Closed
Depth
19
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/SturmianMapCumulativeRefutation
Repository path
D5/S1/Words/SturmianMapCumulativeRefutation.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.