A Rotation with Translation Movement is standalone natural phenomenon.
Statement of proof.
Let’s take two identical thin cylinders which stay initially relatively to an observer. These cylinders will repulse to each other.
Let’s make two experiments.
The first experiment.
The cylinders repulse to each other from their center of mass. These cylinders start moving relatively to observer and they move opposite relatively to each other. Base on law of momentum conservation, their linear velocities are identical relatively to the observer. Let’s measure their kinetic energies. The full kinetic energy is equal to:
As it shown on equation their energies are equal.
Let’s take the derivatives from their parts of energy.
As it shown on equation their momentums are equal.
For this experiment these cylinders have symmetric action as translation movement relatively to initial event (repulsing) and observer.
