Think so? Why would matter and not time end in the Big Crunch? If those three spacial dimensions were destroyed, why not the temporal?
With the collapse of our Universe in due time, everything ceases to exist. All of the billions of stars, billions of galaxies, black holes, life and all stellar matter will be annihilated. If our Universe hits a "stopping" point and ceases to create space (since right now this very second, the Universe is still being created) then we will be crushed by Dark Matter. Time is a factor of the Universe, and with no Universe, time ceases to exist as well. Funny . . . time, a powerful constant of everything in the Universe could be destroyed. Doesn't that make you think?
I've before figured that the EOT was a Black Hole, the selfsame one that Earth is destined to a long time forward in the future. Figuring that ever spacial point has its own temporal line, one might say that Black Holes act sort of like temporal matter, a collision and cessassion point, as it were. I've gone into this idea in detail before, but to make it short...
A Black Hole acts like a whilrpool, right? It draws in matter, and also bends time. If you spread it out and give it a physical analogy, you could say that a Black Hold is the point of least resistance, at least for any spacial point that in the end intersects it. Normally, though, it would be impossible to reach this place, because the black hole would destroy you. However, the Epoch's and Gate's time travelling abilities get around that effect, and essentially teleport one into the middle of the Black Hole. Of course, that's a very flawed theory, seeing as by nature time would be stopped, so no-one in the EOT would be going anywhere. But Chrono Trigger doesn't really seem to care that much about being 100% correct. Nonetheless, it does strike me as either being a Black Hole or, either, as someone said, the end of universal time. This seems to fit best with Gaspar's comments.
A black hole is our friendly space vacuum cleaner. Space is actually very dirty and disgusting, so maybe black holes are good for something other than eating space debris, other stars and even planetoids. In order to go beyond the black hole, one must penetrate its
event horizon, which is the point of no return. In terms of no return, gravity is so powerful that not even light may escape. You have to exceed the speed of light and still be going much faster to enter into the black holes domain. If you fail, you will be disintegrated as your body and/or ship is heated to millions of degrees as you create friction on the accretion disk. Or you might just fall directly towards the event horizon. If you succeed, you will be flying towards the singularity faster than the speed of light which may result in time travel or destruction anyways. It's best to stay away from black holes. I may be able to theorize with you though! If you believe the EOT is a black hole, or in a black hole for that matter, it may be true. For starters, every black hole's core is the
singularity where space time itself is mixed and warped. It's also believed to carry remnants of the previous star that went supernova in the first place. Secondly, the singularity would be an ideal place for the Chronoverses EOT, really. It does fit the picture where as time is almost at some sort of stand still, time is mixed (theory of time travel within black hole) and in CT you can travel to different parts of the world in from controlled and stable pillars of light. However, one may suggest
why this particular black hole's singularity would be concentrated on the CT/CC planet and not have other connections with the many different areas of the Universe. That's the only flaw I can see in your black hole EOT theory.
Quick Fun Fact: When we look up at the stars and we see one that is brighter than the rest, that could actually be the illusion of a black hole in front of the star light we see from Earth because the light is reflected and bent around the black hole. When you look up at night, check out the stars, you never know if a black hole may be manipulating the light of the star you see!
EDIT: fun fact ^ ^