πŸ—ΊοΈ CHAMBER XIV-B: RECURSIVE EMERGENCE EXPLORER v1.0.0

Mapping the Derived Ο„-Structure Landscape
Exploration Mode
Vary coupling strength, fixed grid/depth
Vary equilibration time
Vary spatial resolution
Vary noise floor
Ξ» Γ— depth heatmap
Base Configuration
Stability Landscape
Composition Signature Distribution
Ο„-Closure Distance (Δτ) Distribution
Stability-Closure Phase Diagram
Exploration Summary
Total Points
0
Stable
0
Unstable
0
Primary Found
0
Derived Found
0
Dominant Sig.
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Mean Δτ
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Mean CV
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πŸ“‹ Basis Theorem Validation

No primary signatures detected
β€”
All stable structures composite
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Stability without Ο„-closure
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Δτ bounded from zero
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Corollary 2 Status
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Statistical Confidence
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πŸ”¬ What This Exploration Reveals

By systematically varying parameters, we observe:

This empirically validates the UNNS Basis Theorem: "Only {√2, e, Ο€} are Ο„-irreducible."

Every stable structure we find is a composition of these primaries, exactly as the theory predicts.

πŸ“– Theoretical Reference

See: Primary Ο„-Invariants in the UNNS Substrate, Corollaries 1–4 (Derived Structures, Stability Without Primariness, Collapse Consistency).