big bang, repeat, repeat...probably. possibly. & why not.
finite number of matter...energy, maybe. possibilities, i believe, no. because there are infinite choices to make and thus infinite ways a thing can play out. not saying things don't repeat. it does, because we don't learn...or we don't choose something different, but there's always another fork in the road. so no, i don't believe it's a loop in that there is finite matter . but maybe a loop in "we make the same mistakes", yes.
my argument about eternity, yes or no, would be... if time and space are both infinite, then eternity is possible (lots of holes in this statement...blah blah). we cannot fathom this, because we cannot see it, because we're not supposed to see it that way. we're supposed to experience this, here, now. and so, yes, we need space and we need time to be linear to be here and to move forward...to experience life. but i believe souls evolve too and even if that soul takes just one different "step" next time, it's not exactly the same. so i guess i believe (or i want to believe) that infinite possibilities and eternity are possible (...i looped in my argument...haha.)
another question would be, is eternity heaven (you get second chances) or hell (you have to start all over again not remembering)...all these questions and arguments are of course based on the theory of reincarnation (& big bang repeat repeat

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's all cool. thanks for the sharing of thoughts. more are always welcome.