First, the theory rests on the airy assertion that reversing T automatically causes the reversal of spin and other quantum numbers as well. I found the argument given for this unconvincing. Second, and more importantly, you do not seem to have grasped that you cannot possibly have both T symmetry and CPT symmetry, because CP symmetry is experimentally excluded. It does not matter if you invent a special form of T symmetry that is 'equivalent' to CPT symmetry.
Take a physical system that exhibits CP violation; assume it is described by the kind of theory outlined in your link. Now reverse time. By the argument in your link, this also reverses CP. Because the system is not symmetric under CP, it exhibits different behaviour. Bing, T symmetry has been broken: There is a measurement I can make that tells me which way time is flowing.
Well, I don't have a watertight argument for the first point. I think it is more likely than not, but if your intuition is the other way around, I won't argue too much. What I object to is the idea that T-symmetry is wrong. In fact, T-symmetry is pretty plausible, IMO.
From your second point, (from my perspective) you still don't get the logic of the whole idea - and you have exhausted most of my resources on the subject, so I am not sure what more to do with you.
Assuming that charge and parity quanta involve moving parts internally, then they would both...
http://lifeboat.com/blog/2011/06/dear-dr-hawking
Hey guys, my quantum physics is not powerful enough to understand this guy... Can anyone help me out with this one?
Thanks LW