Everything begins and ends at some point, the question with the universe is whether that end point is infinity or not. If we are going on the Big Bang theory, which most scientists, and religions, now accept then we're looking at an explosion. But that explosive force will eventually end, as like all matter it will lose momentum as it travels. At that point the universe either contracts or grows old as no new matter is being produced.
We know that stars die eventually when they run out of fuel or when they are destroyed by another star. We also know that the galaxies are still in motion of some sort and some may eventually collide.
Once all the stars have gone, either cooling or going supernova, then in all probability we're left with a lot of black holes and not a lot else. The sources of light are all extinguished, black holes suck up most of the remaining matter so unless those singularities are a gateway to another universe...
I've never really agreed with the expand-contract-expand logic, it seems too simplistic to reduce the universe to a giant elastic band with some manipulative giant expanding and contracting it ad nauseam.
The Ekypyrotic theory is quite interesting, but its more or less been invented to go with string theory and thats far from accepted.
As to old universes, i think we've probably got enough problems trying to understand the current one. Interesting theory but thee no real logic for why a universe would just start recycling themselves.
I'm not actually challenging the tree has fallen segment, just your explanation of it, and whether the alien is really necessary

. The example i was using was the a parallel of the model universe one, if you see a tree lying on the ground you presume it can only have fallen/been knocked down it can't just have came into being at that place, but the universe can just be.
But what is time? Our concept of time would in effect no longer exist. Time itself would not come into being again until some form of life began to recognise it as such.