A Geometry Nodes setup creating interacting, inertial wave fronts, which react to a custom value frame-by-frame. (Here audio, but it can be any procedural or keyframed value).

The node tree creates the wave rows, the displacement and the inertial, self-interacting effect.

It comes with the full setup, labels and explanations.

Video demo here, here and here .

The setup is only one example of using this node tree, you can utilize it for your own vision.

Happy Blending !

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NOTE

-(Since it is a concept demonstration, it is kept as simple as possible.) The GeoNodes trees are kept clean for easier readability and have detailed explanations. Everything is built from the base. The point of these setups is to provide a base core of the concept, node from node, instead of contracting all into node groups with exposed settings, which makes everything harder to read and dissect.

You can embellish, refine as you wish based on the core or realize your own ideas.

-Read the text description, it has a lot of useful info !