Abstract
It is sought a fundamental reason for the then fore contradictory or randomly correct outcomes. As due the dilemma borne out from the multiple methods for the Pontryagin Chiral Fermions density anomalies resolutions and their either zero or imaginary results.
Such is based on extracting the unitarity from a unity-scale diffeomorphic transformation, which is resulted from being a regularization of\(\ \gamma^{0}\).