Chapter One · Interactive Companion

The Three-Phase Visualiser

Coherence, Rupture, and Regeneration in real time

C(x,t) = ∫ L(x,τ) dτ
→
δ(now)
→
R = ∫ φ(x,τ) · eC/Ω · Θ(…) dτ
Coherence
Omega Modulator — Boundary Permeability
Ω = 0.50
Balanced
Rigid · Crystalline Liquid · Porous

Balanced integration — moderate access to historical field

Current Ω Effects
Particle count 60
Connection range Medium
Coherence rate 1.0×
Rupture intensity Moderate
Memory depth Selective
Trail persistence Fading
Live Metrics
Coherence
0.00
Tension
0.00
Regeneration
0.00
Cycle
1
Controls
Early Warning Signals (Scheffer) — Approaching Rupture
Autocorrelation
0.10
Variance
0.10
Recovery Time
0.10
Flickering
0.00
Phase I: Coherence Accumulation

The system accumulates its history as constraint. Each moment adds to the coherence integral, deepening commitment to particular patterns. Like Bergson's durée, the system is its accumulated past—not merely having a history, but being that history carried forward.

C(x,t) = ∫ L(x,τ) dτ

Drag the Ω slider to experience how boundary permeability shapes transformation.
Low Ω: rigid crystalline structure, few particles, sharp ruptures, shallow memory.
High Ω: liquid porous field, many particles, gentle dispersal, deep historical access.