When a 240 volt ac compressor motor has the Red wire, T2, showing 120 volts at all times going to the motor, does the Black wire, T1, from the motor have 120 volts showing on a volt meter even though there is an open contact point between the Black wire, T1, and L1 wire that does not allow the other 120 volts to go to the Black wire? Does the 120 volts of the Red line, T2, connect to the Black line, T1, inside the motor?
each Red and Black wire will have 120VAC on them when compared to the neutral, but if you put a volt meter across them will measure 240VAC. this is because they are at opposite phases. your compressor should have two terminals for line voltage and be straight forward to connect. There is no need for a neutral because your compressor does not have any 120VAC loads (such as a light or so forth).