On the Smoothness of Navier-Stokes Equation

The existence and smoothness of Navier-Stokes equation is still a puzzle. I propose that space and time has smallest unit. The unit of space is called new plank volume. The unit of time is called new plank time. Due to Zeno paradox, the spacetime cannot be differentiable infinitely. Thus, space and time has smallest unit. This causes a smoothness problem of Navier-Stokes equation. Because atoms and molecules in the fluid cannot be differentiable infinitely. This implies that there is no smoothness in the Navier-Stokes equation.