This is brilliant! I don't fully understand it yet, but it feels right. It is consistent with the "Transactional Interpretation of Quantum Mechanics" by John Cramer. In his work, there is a time reversed wave when a photon is absorbed from the absorber to the emmiter. I may not be describing correctly, but if you read his work you will see what I am trying to say. This makes sense because in a photon's frame of reference, the instant of emmision is the same as the instant of absorption (time reversable). If you want to, I would love to discuss it further with you. Also, Hawking referred to the possiblity of time we measure and imaginary time (t,ti), and this might fit with that idea. I never thought of irreversible thermodynamic time.