LH pitcher comes set. Uses normal knee lift followed by "step towards first" well within the 45 degrees. Nails the runner but gets called for a balk. Home plate umpire says he "dipped his shoulder thereby feinting home as part of his throw to first"
So where in the rule book does it specify what the shoulders must do as part of a continuous step and throw to first.
The term "feinting" is used elsewhere in the rules synomous with "faking". For example, with runners on the corners the pitcher steps back, feints to third and then pivots and throws to first.
Perhaps its just a case of an inexperienced umpire being over zelous.
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