The simple intuition of the Poincaré Recurrence is this. - Imagine a closed box, and this box has 100 particles. - The particles in the box can be arranged in

The simple intuition of the Poincaré Recurrence is this. - Imagine a closed box, and this box has 100 particles. - The particles in the box can be arranged in all sorts of ways due to what ever force (gravity, Brownian motion etc). - They (the particles) can be clustered at the centre of the box, cluster and any of the corners of the box, or spread around the box in all sorts of ways. - When a system i.e this box, change the way it's particles are arranged. It is referred to as dynamic. - And all the different ways the particles can arrange themselves are referred to as "states". Now, is the world a "dynamical system"? No. Dynamical systems are just an instrument of abstraction used to this about such systems. Seeing 3 oranges doesn't mean that the group oranges are made up of a number 3 in reality. Just like how modeling planets with infinitesimal calculus does mean the planets work at the behest of calculus.