CHAMBER XLI-B

Grammar Extension Probe
v1.0.0 | Parent: XLI v1.1.1 | Motif Chaining + Resonance Operator
Tests H₄-B (Kernel Length), H₅-B (Resonance), H₆-B (Extended Utility)
A. Variant Control & Status
—
—
—
—
—
—
400
not run
B. Ensemble Survival
Median Step of Termination
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Seed termination due to selection or instability
C. Projection Stability
Projection Stability Rate
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stable
oscillatory
drifting
exploding
collapsed
D. Utility & Vetoes
Median G∘ (not mean)
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G₂ (Ensemble Admissibility)
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Veto Source % Seeds
Inadmissibility—
Selection Gate—
Instability—
Depth Exhaustion—
Selection Activity Summary
% Seeds Contracted: —
Avg Contractions/Seed: —
S1 Events: —
S2 Events: —
S3 Events: —
Total Events: —
How to Read This Chamber (Guide v1.0.0) ▼ Expand

1. What This Chamber Tests

Chamber XLI-B is a grammar extension probe built on top of XLI v1.1. It tests whether extending the operator grammar—via motif chaining and conditional resonance (ρ)—permits stable projection and utility beyond the hard limits observed in XLI.

New Hypotheses:
• H₄-B (Kernel Length): Projection stability increases with motif chaining
• H₅-B (Resonance): ρ operator enables stable projection where single motifs saturate
• H₆-B (Extended Utility): Utility islands become reachable with enhanced grammar

XLI-B results are not retroactive to XLI hypotheses H₁-H₃. This chamber opens new questions about extended grammar, it does not "fix" XLI.

2. How to Read Survival (Panel B)

  • Survival curves show veto action, not stability gain
  • Early termination is an expected and meaningful outcome
  • A flat curve at low survival is not failure by default
  • Dead seeds remain visible as dead; they are not noise

3. How to Read Projection (Panel C)

  • Projection is binary and brittle
  • Partial or transient projection does not count toward stability
  • High admissibility does not imply projection (Axiom A1)
  • The 70% threshold marks the hypothesis criterion, not a success line

4. How to Read Utility (Panel D)

  • Utility is evaluated via median G∘, not mean
  • Isolated high-utility seeds do not constitute a utility island
  • Most variants are expected to show G∘ ≈ 0
  • The 30-35% G₂ band marks a structural boundary, not a target

5. What the UI Does Not Tell You

  • The UI does not explain causal mechanisms
  • The UI does not imply substrate preference
  • The UI does not rank grammars by importance
  • Visualization emphasizes measurement, not interpretation