Complete Derivation of the Fermion Mass Sector from the Constraint Axiom

The complete fermion mass sector — three generations, Koide parameter Q equals 2/3, generation labeling, and spin 1/2 structure — is derived from a single foundational axiom: the existence of constraint in physical reality. This axiom generates three domain constraints called algebraic, informational, and dynamical constraints. These constraints uniquely determine the fermion sector through octonion geometry, the exceptional Lie algebra G2, the triality automorphism of SO8, and holographic information saturation. The Koide parameter emerges as the Dynkin index of the embedding of SU2 inside SU3, which has the value 2/3. This result appears through three independent derivation paths: renormalization group fixed point analysis Killing form ratios weight formula computation Generation labeling follows from sequential saturation along triality orbits. Spin one half fermions arise from Clifford algebra structure together with information density maximization. The framework contains zero free parameters. The theoretical prediction for the Koide parameter is 2/3. The experimental value is 0.666661 plus or minus 0.000007. The theoretical and experimental results agree within experimental precision. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/