We extend the Information Geometric Unified Field Theory (IGUFT) by providing a complete quantization scheme for the information manifold, deriving the specific gauge group SU (3) SU (2) U (1) and its fermion representations from geometric principles, and calculating the renormalization group flow of coupling constants to compare with low-energy experimental data. Starting from the canonical quantization of the information manifold as a curved quantum space, we show that the isometry group of the quantized information manifold, when restricted to the physical vacuum sector, yields exactly the Standard Model gauge group. Fermion representations arise as spinor sections of the information manifold's tangent bundle, with the number of generations fixed by the topology of the manifold. The renormalization group equations derived from the information geometry predict gauge coupling unification at 10^16\, GeV with precision consistent with current experimental bounds. Our results demonstrate that IGUFT not only unifies gravity and quantum fields but also predicts the specific gauge structure and matter content of the Standard Model from first principles.
Y. Li (Sun,) studied this question.