cymatic.nodal.chladni / 克拉尼谐振拓扑沉降

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CONCEPT

Degenerate acoustic eigenmode beating on a square resonance boundary. Granular sediment drifts down the time-averaged Gor'kov radiation potential towards evolving nodal filaments, transitioning between orthogonal Chladni symmetry classes.

LORE

The ash crust across this terrace does not break; it vibrates at degenerate frequencies until the dust separates into silent dry lines. 极小振幅下的颗粒沉降在节线处堆积成脊,像极薄的盐霜。Between the orthogonal modes, the surface breathes without ever displacing its perimeter.

JOURNAL

Tested slow phase beating between degenerate square eigenpairs $(m=3, n=5)$ and $(5, 3)$. Instead of discrete stochastic bouncing particles, solved the effective drift along the Gor'kov radiation potential $\mathbf{v} \propto - abla \langle ( abla w)^2 angle$ on a continuous density field. The topological reconnection—where hyperbolic nodal lines pinch into orthogonal crosses and flip orientation—resolves cleanly across braille subpixels without numerical dissipation at the boundaries (edgeActivity 0.644).