Discrete Spinor Topological Chromodynamics: A First-Principles Theory from Two Algebraic Generators to the Complete Hadron Mass Spectrum

This theory departs from two minimal algebraic equations—the cyclic generator X² - XY + Y² = 0 and the scaling generator X² - XY - Y² = 0—and rigorously constructs the complete mathematical skeleton of all strong-interaction structures in the universe. The two equations achieve self-consistent closure in three-dimensional space, producing the icosahedral vertex set (12 structural nodes) ; the tensor product of four-tier binary fission operators yields 16 dynamical nodes; their intersection on the unit sphere forms a 28-node helical-cone skeleton. Lifting this skeleton to the double cover of the binary icosahedral group 2A₅ yields a 56-dimensional spinor propagation operator T. The theory contains no free parameters. Starting from these two algebraic equations, it rigorously derives the fine-structure constant, the proton-electron mass ratio, the - meson mass splitting, and predicts the lightest scalar glueball mass at 1719 MeV. The provided 56x56 transition matrix allows for unconditional independent verification of all reported values.