The demonstration of isotropic pressure at a point in fluid mechanics

Postulated before 1950 the classic demonstration of the isotropic pressure at a point in fluid mechanics-commonly called as the wedged-shaped particle demonstration had become part of international textbook in fluid mechanics.However, the problem in such demonstration is that if true this will result into an apparent hydrostatic paradox. The flaw behind lies in the attempt to demonstrate the isotropic pressure using the physics of a continuous media when in reality the isotropic pressure at a point is the dimensional limit in which the treatment of a continuous media is no longer valid and statistical fluctuations start to play an important role. Using the laws of statistic physics, not only the apparent paradox with the current demonstration is eliminated but actually, the ambiguity in the dimension of what we call point is also wiped off and some estimation of its dimension is providedPreprin