He simply switched with the jacket.
/thread....
Not saying u r wrong, but Obito stated how far apart her dimensions r and Sasuke has a limited rangeIf he were able to shift from one dimension to another, he would have already done so in order to escape from the sand dimension.
I think it is an Izanagi related technique; that or just... magic (we better not to be this one).
He can shift between Dimensions as long as they lie within range. As the other dimension was within the range of his Doujutsu, he was able to switch.