UNNS Laboratory – Chamber XLV v1.3.0: Axis II.1-A/II.2-A/II.2-B ε-κ-t Sweep

v1.3.0 TEMPORAL κ INJECTION (Feb 2, 2026):

Axis II.2-B Added: injection_time parameter enables temporal κ control (κ only active when t ≥ injection_time)
Backward Compatible: injection_time=0 reproduces v1.2.0 behavior exactly
Validation: New "⏱ Temporal κ Test" preset for systematic temporal sweep

v1.2.0 CRITICAL FIXES:

τ Injection Model: Changed from τ_right=1.0 to τ₀=0.92 anchoring (recreates proven stable baseline)
Utility Field Invariant: Enforced utility=false → onset=-1, persistence=0
κ Diagnostics: Fixed D(t) computation to track coherence properly

Mission: Test whether (1) asymmetry perturbations around τ₀=0.92 can induce utility phase transitions (II.1-A), (2) history-coherent coupling via κ can stabilize utility emergence (II.2-A), and (3) utility emergence depends on WHEN κ is introduced, not just its magnitude (II.2-B). v1.3.0 Model: τ_left = 0.92-ε, τ_right = 0.92 | κ active only when t ≥ injection_time.

⚙ Sweep Configuration

ε Min ⓘ

ε Max ⓘ

ε Step ⓘ

Seeds per ε ⓘ

Depth ⓘ

κ (Coherence) ⓘ

κ Injection Time (t) ⓘ

🔬 Axis II.2-A / II.2-B Mode:
• Set κ > 0 to enable coherence regulation
• Set injection_time > 0 to test temporal κ control (II.2-B)
• κ couples branches (coherence) WITHOUT creating utility
• Falsifier: (ε=0, κ>0) must show U_freq=0

⚠ Fixed Parameters (Locked):
• Grammar: axis_ii_fixed_v1 (Chamber XLIV reference)
• Topology: axis_ii_branching_reference (proven τ=1.08/0.92 baseline)
• Utility Definition: Binary G-degree (G° = 1)
• Asymmetry Model (v1.2.0): τ_left = 0.92 - ε, τ_right = 0.92
• Anchored around proven τ₀=0.92 stable baseline

📈 Phase Diagram

📊 Live Metrics

Current ε

U_freq

P_collapse

L_persist

--steps

ε Candidate

TBD

Total Points

Detection Criteria:

✓ U_freq jumps from ~0 → stable nonzero
✓ P_collapse drops discontinuously
✓ Seed clustering (low variance)
✓ Stable under resolution refinement