Pascal's law or the principle of transmission of fluid-pressure (also Pascal's Principle) is a principle in fluid mechanics that states that pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain the same. - Wikipedia
On one hand, "incompressible" suggests that intermolecular interaction plays an important role in Pascal's law.
But when we consider ideal gas, while doesn't obey the Pascal's Principle, will arrive at the "equally transmitted" state when given enough relaxation time. This suggests that the "equal trasmission" arise from statistical behavior of molecules. "Incompressible" merely suggests zero relaxation time.
However, if we think of molecules as hard spheres whose random oscillation will be damped by other molecules, so only directional motion will occur, Pascal's law remains true.
So, what's the physical interpretation of Pascal's law? Is it a statistical law of collective behavior, or is it caused by the repulsive interaction between molecules? Thanks!