On a semi-serious note, I've always had this nagging feeling ever since I first heard of Planck time and Planck length. Why would there be a lower limit to the resolution of the universe, unless there was something spooky going on? (I know they're just theoretical, but...)
For a long time, we thought atoms were these building blocks; now we think it's quarks; the Standard Model does a pretty good job at relating all observed phenomena to each other, except for, you know, gravitation, and that pesky observed-but-unaccounted-for thing we deemed 'dark matter'.
A few things about the Standard Model make my head hurt, but the idea of a fractal universe that is infinitely scalable up and down and assumptions about spacetime and forces still hold the same way is truly mindbending that I don't know how to reason around it. So perhaps conversely, can we flip the question and ask, why wouldn't the universe have a finite resolution in terms of matter actually existing and behaving like we know and love?