Your wrong. In Trigger, you Trigger a major change in time, Lavos' defeat. That the consept of CT. In Cross, you Cross dimensions. Thats its consept. It will be the same with Brake/Break. Sure, there were objects called the Chrono Trigger and Chrono Cross, but thats hardly relavant to what were saying.
If it goes like that, then I wonder what it would be a Brake/Break of?
Ya know, just because the rules of time travel never applied during Chrono Trigger, it doesn't mean that the heroes would get off scoff-free. I always figured that in Break/Brake, the repercussions of time-traveling would start affecting the world (ya know, in the negative ways that the game decided wouldn't happen), and you have to back in time (again) to set things right.
If that turns out to be the plot (or somewhere along this), then would Crono and the gang have to kill their past selves (with the possible exception of Magus, since he was an optional character) in order to keep them from killing Lavos and changing history, even though it would cause them to cease to exist? It would be wierd to have a final battle in which you are fighting to stop the thing you originally believed was right (then again, Golden Sun did the same thing, cept without the time-travel)