The Mystery of the Universe

I wonder if the universe is sort of like Rashomon. Is there a patchwork of mathematical stories that are only interesting to us? Or are these stories likely to be universal? I know that the real answer waits until we meet the aliens and we talk science with them. And we figure out if they've developed completely independent branches of science. But I wonder, you think it's possible to approach that question or address that question today before we've met the aliens?