Speaker
Aadarsh Singh
Description
We explore the idea that the underlying flavour structure of the Standard Model could be determined by a fractal geometry. We consider theory space on a Sierpenski-like geometry. Fermion mass chains on Sierpinski-like geometry with three decorations(iterations) lead to three zero modes, which can be identified with three generations of the Standard Model. A single parameter expansion for each of the fermion mass matrices is achieved which explains the hierarchial masses as well as the mixing angles for the lepton sector. Extensions to the quark sector and related phenomenology are briefly discussed.
