I tried a new configuration where there is an internal boundary (circle, sphere etc) too. This is because I learnt about the Quantum Sinai Billiard configuration and that this config can create fractal-like structures as compared to just a square/cube boundary. We can think of it as the presence expanding out of a null core (black holes, the heart etc.) I couldn't figure the exact ratio, for now (from the seed of life) I took the internal circle diameter to be half the length of the square side. The motion looks chaotic as predicted. Inside the internal boundary and outside the external boundary could be null states.