Yes, science has a way of captivating. However, let's return to the matter at hand.
The Tesseract of CT is a waste-bucket of things deleted through time-travel. It's not a fourth dimension of sorts (Because it's not time itself). The fourth dimension is what you go through when you enter gates. Tesseract was a bad choice of words, so it was changed in the NA release of Chrono Cross to:
Darkness of Time, Darkness in the End of Time (Worst name, yes?), Darkness Beyond Time, The far end of the dimensionel void...
But Tesseract is no where to be seen in CC...