Baryonic Matter, Ising Anyons and Strong Quantum Gravity

We find that the whole set of known baryons of spin parity $J^P=\frac{1}{2}^+$ (the ground state) and $J^P=\frac{3}{2}^+$ (the first excited state) is organized in multiplets which may efficiently be encoded by the multiplets of conjugacy classes in the small finite group $G=(192,187)$. A subset of the theory is the small group $(48,29) \cong GL(2,3)$ whose conjugacy classes are in correspondence with the baryons families of Gell-Mann's octet and decuplet. $G$ has many of its irreducible characters that are minimal and informationally complete quantum measurements that we assign to the baryon families. Since $G$ is isomorphic to the group of braiding matrices of $SU(2)_2$ Ising anyons, we explore the view that baryonic matter has a topological origin. We are interested in the holographic gravity dual $AdS_3/QFT_2$ of the Ising model. This dual corresponds to a strongly coupled pure Einstein gravity with central charge $c=1/2$ and AdS radius of the order of the Planck scale. Some physical issues related to our approach are discussed.