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We give a simple macroscopic phase-space explanation of fractional quantumHall effect (FQHE), in a fashion reminiscent of the Landau-Ginsburg macroscopicsymmetry breaking analyses. This is in contrast to the more complicatedmicroscopic wavefunction approaches. Here, we employ a nonequilibrium quantumtransport in the lattice Weyl transform formalism. This is coupled with theMaxwell Chern-Simons gauge theory for defining fractional filling of Landaulevels. Flux attachment concept is inherent in fully occupied and as well as inpartially occupied Landau levels. We derived the k-factor scaling hierarchy inChern-Simons gauge theory, as the scaling hierarchy of the magnetic field ormagnetic flux in FQHE. This is crucial in our simple explanation of FQHE as atopological invariant in phase space. For the fundamental scaling hierarchy,the integer k must be a prime number, and for fractions both the numerator anddenominator of k must also be prime numbers. The assumption in the literaturethat a hierarchy of denominators of v = 1 k is given by the expression, (2n +1), is wrong. Furthermore, even denominators for v cannot belong to fundamentalscaling hierarchy and is often absent or less resolved in the experiments.

On Fractional Quantum Hall Effect (FQHE): A Chern-Simons and nonequilibrium quantum transport Weyl transform approach