Pontus gave a good explanation of the physics. Mathematically the statement is simply that there are different trajectories with the same initial conditions tha

Pontus gave a good explanation of the physics. Mathematically the statement is simply that there are different trajectories with the same initial conditions that solve the same differential equation. This is easy to calculate and has nothing to do with "people wanting it". It's simply a mathematical fact. What do you not find convincing here?