A possible explanation for re-incarnation, but not how it’s explained in current religions.

Once you die time has no meaning. Like going to sleep. In the same way you had no concept of how much time passed until you ended up in the body you are now. How long did those last 13+ billion years feel to you? From Roger Penrose, at the end of the universe, time again will have no meaning, and quite possibly the universe starts again.

“At the big bang – time and size don’t matter. Then at the end of the universe, time and size don’t matter again. It then forgets how big it is then becomes the next big bang.”

– Roger Penrose – Why Did Our Universe Begin?

This can carry on for ever, then at some point through this infinite loop enough of your energy will end back in another conscious being. If it happens enough times, you’ll end up back in the same body you are now.