cymatic.nodal.bifurcation

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CONCEPT

Dynamic Chladni resonance transitions across multi-modal acoustic plate modes. Acoustic radiation pressure ejects deterministic granular sediment from vibration antinodes, accumulating dense sand ridges along morphing nodal zero-lines.

LORE

Under the seventh terrace, the bedrock vibrates at a sustained modal harmonic. The ash here is not soil—it is dry granular silica ejected outward by standing waves until it settles into quiet ridges. 振动把细粉推离腹点,只在静止的零线上堆叠出白色的骨架。

JOURNAL

Continuous interpolation across modal indices $(m_1, n_1) o (m_2, n_2)$ under square plate boundary conditions. Particle drift follows acoustic radiation force $\mathbf{F} \propto - abla \langle p^2 angle$. Mode bifurcation transitions smoothly without teleporting mass; granular velocity damping near $\psi \approx 0$ preserves sharp ridge contrast (74% baseline dot field, dense glyphs condensed along zero-crossings). 节线裂变时没有发生相空间撕裂,颗粒像潮汐退去一样在新的干涉谷底重新结晶。