Is this perhaps the reason its entropy becomes greater?

Is entropy perhaps nothing more
than the expression of uncertainty?

Is the Second Law of Thermodynamics perhaps

not an axiom but the consequence of the uncertainty
which is inherent in each collision of the molecules?

If the motion of gas molecules is completely

determined, then does the second law still apply?

Shouldn’t we be able to retrieve all the kinetic energy from

a set of billiard balls colliding with each other?