Here's an example of the recent evidence for an ever expanding universe (not only that but a universe in which the rate of expansion is increasing).
One of the key things to keep in mind is when discussing the expansion and contraction of the universe you are not simply talking about the movement of matter moving away from the center of the universe but of spacetime itself actually expanding (that is, if you took two galaxies side by side and gave them the exact same movement they would still move apart from each other because the spacetime between them is expanding).
When talking about a Big Crunch it is not just that all matter recondenses in the middle of a now very huge empty space but that all space crunches down into a very small volume, outside of which neither space nor time as we understand it exist.
As for the "speed of light" thing Moonliner mentioned, GD is right that in the way we think about it now the speed of light was much higher in the early moments after the big bang. However, "speed of light" as an applicable concept didn't become relevant until after the four forces (electromagnetic, gravity, strong nuclear, weak nuclear) "condensed" out of the cooling universe aftre the Big Bang. At sufficiently high temperatures these forces "evaporate."
And on multiple big bangs it is possible that there are others in our universe but nothing in the "visible" universe supports the idea of multiple expansions in our spacetime. However, the "visible universe" will never be equal to "the entire universe" in an ever expanding universe so it is always possible that there is contrarian (blue-shifted galaxies, for example) evidence in parts of the universe we'll never be able to see.
There are cosmologies that conjecture beyond our universe that involve multiple (and perhaps frequent) Big Bangs creating other universes. For example, one theory has pieces of spacetime being lost through wormholes at sizes near the Planck constant, these wormholes evaporate and then the lost bit of spacetime creates its own Big Bang creating a new universe, but one that is completely separated and unmeasurable from our own.
But this is another topic (like GD's mechanical thinking thread a couple weeks ago) where I quickly get into territory I'm sometimes just happy to understand the questions being asked, even if I don't understand the answers being provided.
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