A new interpretation of the Seiberg-Witten map

In an alternative interpretation, the Seiberg-Witten map is shown to be induced by a field-dependent coordinate transformation connecting non-commutative and ordinary spacetimes. Furthermore, following our previous ideas, it has been demonstrated here that the above (field-dependent coordinate) transformation can occur naturally in the Batalin-Tyutin extended space version of the relativistic spinning particle model (in a particular gauge). There is no need to postulate the spacetime non-commutativity in an ad hoc way: it emerges from the spin degrees of freedom.