Y-ENGINE OSCILLATOR: REINFORCEMENT, LEAKAGE, LAG & RESIDUE
Interactive Y-Theory Simulation — From Binary Fluctuation (0/1) to Circle, Helix, Spiral, and Torus
1. Circle (Closed Phase)
2. Helix (Time Propagation)
3. Residue Spiral (Evolution)
4. Coupled Torus (2-Phase Field)
r(t+1) = r(t) + α · Residue
Residue (actual return minus predicted state) pushes the closed circle outward into an evolving spiral.
Actual State (z)
Lagged Memory Partner
Predicted Return (ẑ)
Residue Vector (z − ẑ)
Drag canvas to rotate 3D view
LIVE AMPLITUDE ENVELOPE & PHASE WAVEFORM — cos(θ) vs Lagged cos(θ − Δθ)
Dynamic Boundary Active (0° < Δθ < 180°)
Y-Engine Parameters
Reinforcement Gain (1 → 1)
0.58
Constructive in-phase return strength
Leakage Rate (1 → 0)
0.42
Dispersion of amplitude & phase into surroundings
Phase Lag Offset (Δθ)
45°
0° = Merge | 1°–179° = Boundary | 180° = Cancel
Residue Growth Factor (α)
0.18
How mismatch (z − ẑ) expands or contracts the orbit
Odd-Cycle Parity Defect (99-Field)
Pause
Reset Orbit
4 Binary Transitions & Telemetry
0 → 0 ABSENCE
18%
0 → 1 ACTIVATION
24%
1 → 0 LEAKAGE
22%
1 → 1 REINFORCE
36%
Closure vs. Leakage Regime
SELF-SUSTAINING
Current Radius / Amplitude (A)
1.000
Instantaneous Residue |z − ẑ|
0.142
Binary Polarity State (b_t)
1 (Expansion)