- This is a very advanced question that touches on areas of research in theoretical and mathematical physics, notably scale relativity and quantum gravity. Although there is no single, accepted theory that directly links the application of fractal mathematics from astronomy (structure of the Universe) to quantum mechanics, the concepts of fractal geometry and self-similarity appear at both ends of the cosmic scale. Fractals in Astronomy and Cosmology: Fractals are geometric figures that exhibit self-similarity (their patterns repeat at different scales) and whose fractal dimension is often not an integer.
