Is there a reason for Fractal Self-Similarities?

A video explaining a reason for Fractal Self-Similarities within an artist theory on the physics of ‘time’ as a physical process

Everywhere we look within the diversity of nature we see the beauty of fractal self-similarities at every degree and angle of creation

There has to be an underlying symmetry and a continuous process of symmetry breaking for such beauty to exist.

It cannot be just because mathematics works that way that we have the beauty of such symmetry there has to be a physical reason.

In a new theory called Quantum Atom Theory this underlying symmetry is the symmetry of light forming the curvature and geometry of spacetime