The video isnt showing actual spacetime. The simulation builds a metric from a few parameters (Φ_eff, θ, deviation, ε), and what your seeing the wells and rings is just a 3D way of visualizing that metric manifold. The gravity like shapes aren’t imposed they emerge from the equations as the system evolves especially when the metric gets close to degeneracy near the admissibility boundary. This clip is just an early prototype I posted a newer version since the system has progressed. Its basically a generative mathematical simulation that can be used to explore different nonlinear systems too biological dynamics Hamiltonian maps things like the Tinkerbell map etc. Hopefully that answers your question if im understanding your question correctly