Circular Dependency Convergence Demo

🛠 Core Principles

Proof of Timing-Independence (Determinism)

The key insight of this demo is that MeshFlow's engine is completely unaffected by execution timing.

What you'll observe: Whether you enable "Async Evolution" (which forces computation to be broken up via setTimeout) or disable it (synchronous, instant completion), the stable-state values the system converges to are identical within floating-point precision.

Conclusion: This proves that the engine's Epoch (Epoch-based scheduling) mechanism successfully isolates side effects. No matter how long the computation is stretched out, or how much async interference is present, the logical evolution path is absolutely deterministic.

Why does "Vacuum Ignition" produce 100% identical results?

When you click 🚀 Vacuum Ignition (initial force fixed at N5=1000, all others at 0), the result is identical down to 16 decimal places every single time.

Reason: Because the initial state (starting point) and formula topology (terrain) are completely fixed.

Path: The floating-point errors and approximation paths the engine generates on each iteration are perfectly reproduced. Like a ball rolling from the exact same point on the rim of a bowl — the path it takes and where it finally comes to rest are identical every time.

Live Interactive Demo: Open in StackBlitz Editor