Everyone is familiar with the idea that the universe might just be a fundamental quantum particle in a larger universe. I think one of the coolest things about my fractional distance framework of analysis
>Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis>https://vixra.org/abs/1906.0237is that allows one to quantify this idea. For instance, in the current scheme of analysis, inverse square force laws only go to zero at infinity. In fractional distance analysis, however, inverse square laws go to zero at the end of a given local neighborhood of constant fractional distance. Furthermore, the whole width of any given neighborhood of fractional distance has only zero percent fractional distance with respect to infinity. This allows us to construct an entire universe with an "effective infinite internal radius" which will show up as a particle in a larger universe with zero linear scale, like an electron. If you replace the Euclidean metric on R (which should measure some affine radial parameter of linear scale in spacetime intervsal) with "the dark energy expanding metric" on R such that each neighborhood of fractional distance is infinitely large with respect to it left-adjacent one, then you can can create eternally some model of self-similar universe-is-a-particle-in-a-universe-which-is-a-particle-in-a-universe-which-is...
