Flavour from fractal mass chains
Abstract
We explore the possibility that the underlying flavour structure of the Standard Model could be determined by mass chains on a fractal geometry. We consider, as an example, the theory space on a Sierpinski-like geometry. The fermion mass chains on a Sierpinski-like geometry with three decorations (iterations) lead to three zero modes, which can be identified with the three generations of the Standard Model. This framework also reproduces the measured charged and neutral lepton masses and mixing angles with very few parameters. We also briefly discuss the possible extension to the quark sector.
Fields of Study & Subjects
Scientific Research and Discoveries
Publication details
- Journal / source
- Physics Letters B
- Publisher
- Elsevier BV
- Volume
- 874
- Pages
- 140268–140268
- Publication date
- 9 February 2026
- Language
- EN