A one-piece synchronous linear secondary stator member, or rail, and a primary double sided synchronous linear permanent magnet electrical machine operating as a motor or electro-dynamic brake consisting of at least two permanent magnets of positive and negative polarity, wherein the double-sided primary synchronous permanent magnet motor maybe affixed stationary to a moving vehicle pathway. As well, the one-piece secondary synchronous linear stator member may be affixed stationary to a moving vehicle or may be affixed in a stationary manner along the vehicle pathway.