::Major spoilers that you know almost right away::
The game virtually begins with you seeing the outcome of humanity. A space creature called Lavos takes over Earth. The main flaw that I'm spoiling is that if you beat Lavos and the game, you wouldn't see Earth get taken over. This is a subject in it's self so that means you're not crossing time but dimensions.
Unless you've actually time-traveled how would you know the future? If you beat the game does that mean you'd 'forget' what you saw. Also, it's called tech not magic but it still uses MP.
Chrono Cross solves the mystery of why Chrono and friends were chosen to time-travel. Chrono Triggers plot begs for a sequel anyway.
The biggest difference between Final Fantasy and Chrono Trigger is the characters are dependant on each other for techs and normal support. The battle system is different. Collecting armor and items are pretty much identical imo.
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