Dear Eric,
Very good essay about Time and conundrums around it.
All problems arise from the fact that time is considered as some independent substance that flows (passes), in which you can move forward or backward. In reality Time itself does not exist. There are only motions. Motion is used as the time standard. The time is handy way to compare motions. Universal time (expansion rate of Universe) is irreversible. Local movements can be reversible, i.e., the local time can be reversible. More in: About Arrow of Time. http://viXra.org/abs/1902.0495.
According to the principle of symmetry, the antimatter must have a negative mass which repels ordinary matter. Therefore local time of antiparticles in comparison with Universal time is negative, i.e., direction from Future to Past.
Best regards
Ilgaitis