Difference between polarity and phase w/sub

Polarity refers to your speaker connections. + to + and - to - is normal. Phase refers to the inward or outward movement of the diaphragm of the speaker in relationship to the speaker producing the original waveform. For a variety of technical reasons I don't begin to understand, some of the equipment in the recording chain sometimes inverts the phase. Some people say they can hear the difference and so a switch that allows this to be altered in a transducer will give those folks who can hear it, suppossedly more accurate reproduction. Hope that helps.