Hall state quantization in a rotating frame

We derive electromagnetomotive force fields for charged particles moving in a rotating Hall sample, satisfying a twofold U (1) gauge invariance princi ple. It is then argued that the phase coherence property of quantization of the line integral of total collective particle momentum into multiples of Planck's quantum of action is solely responsible for quantization in the Ha ll state. As a consequence, the height of the all quantization steps should remain invariant in a rapidly rotating Hall probe. Quantum all particle co nductivities do not depend on charge and mass of the electron, and are quan tized in units of the inverse of Planck's action quantum.