Chapter 3 — Percolation
When two Coherent Phase Packets combined, a phase-coherency event occurred. The weaker oscillation diminished briefly, leaving an open site that quickly balanced through surrounding recurrence. The refilled site held amplitude but no phase direction — a dormant cell. Over successive cycles, the contrast across the lattice decreased, and amplitude spread more evenly. The lattice stabilized by balancing itself. Along their boundaries, opposing phases resolved into quiet corridors. These dormant channels traced thin paths through the lattice, creating the structural scaffolding that allowed the system to persist.
The geometry gradually favored a natural distribution. On average, two Uniteon domains appeared for every one Emeon and one Deniteon, while the Zeteon remained constant. The preference was statistical rather than fixed. Local regions fluctuated slightly as the lattice adjusted through each recurrence. No external rule enforced the pattern. It emerged from the arithmetic of repeated balance, converging toward a 2:1:1 relationship as coherence matured.
As coherence spread across the lattice, recurrence began to fold back on itself. Dormant corridors that once separated regions now carried rhythm between them. Oscillations across the continuum became linked through a shared phase ledger, and the lattice pulsed as a unified field of exchange.
At any moment, two amplitude families stood at different heights above the same mean. This difference was not imbalance but the expression of curvature flow — the alternating displacement that preserved coherence. Without these offsets, the lattice could not persist. They were the marks of continuity.
Summary
- Reinforcement and cancellation create corridors of dormancy.
- The lattice stabilizes through its own geometry.
- Uniteon alignment yields an average 2:1:1 distribution.
- Dormant cells conserve amplitude and reduce variance.
- Dormant Corridors form connected webs of dormant cells.
The inevitable
In coupled oscillator networks, phase clustering around a center frequency is the natural attractor. When coupling exceeds a threshold, oscillations do not distribute evenly across all phase states — they concentrate at the center frequency and at symmetric flanking positions. The ratio between center-frequency participation and each flanking family converges toward 2:1.
The Uniteon occupies the center frequency of the four-phase lattice. The 2:1:1 distribution of Uniteon to Emeon to Deniteon is therefore not an imposed condition. It is the expected outcome of the lattice's own phase geometry — the same attractor that appears in coupled oscillator networks, resonant cavities, and wave systems across physics.