Predictions for Nonabelian Fine Structure Constants from Multicriticality

In developing a model for predicting the nonabelian gauge coupling constants we argue for the phenomenological validity of a “principle of multiple point criticality”. This is supplemented with the assumption of an “(grand) anti-unified” gauge group SMGgen. ∼ U(1)gen. ×SU(2)Ngen. ×SU(3)Ngen. that, at the Planck scale, breaks down to the diagonal subgroup. Here Ngen is the number of generations which is assumed to be 3. According to this “multiple point criticality principle”, the Planck scale experimental couplings correspond to multiple point couplings of the bulk phase transition of a lattice gauge theory (with gauge group SMGgen.). Predictions from this principle agree with running nonabelian couplings (after an extrapolation to the Planck scale using the assumption of a “desert”) to an accuracy of 7%. As an explanation for the existence of the multiple point, a speculative model using a glassy lattice gauge theory is presented.