When i read/post in this thread i always have in mind that TC can be viewed form 2 points

And both points can't be proven

1)time is finite
2)time is infinite

Sir Bahamut, Squall of SeeD and TheOnionKnight did a great job on the FAQ, but you guys must admit, it's mostly based on the Assumption that time is finite (from what i've read). Viator on the other hand tries to explain and discuss it from the viewpoint that time is Infinite. (at least, i think so, if i'm wrong i'd better leave this topic )

Definitely, the explanation of TC in the FAQ isn't perfect, like you say, but that's because the game isn't perfect. Your theories here however are wildly baseless and irrational.
They are based mostly on the assumption that time is infinite, just as your faq is based on the assumption that time is finite.
So far i found it very enlighting reading this thread and also your faq, since they explain point of the time compression both in different ways, but they also both work in theory. (for as far as the game goes, i mean, not like in reallife)