Mass relations in noncommutative geometry revisited

We generalize the notion of the “noncommutative coupling constant” given by Kastler and Schücker by dropping the constraint that it commutes with the Dirac-operator. This leads essentially to the vanishing of the lower bound for the Higgs mass and of the upper bound for the W mass. Thus it can be concluded that these bounds stem from the equal weighting of right- and left-handed fermions.