The αΩ Theory: Zero-Parameter Theory of Everything from G2 Geometry

We present a comprehensive, zero-parameter Theory of Everything that derives the fun-damental laws of physics from the intrinsic geometry of the G2 -structured Sedenion manifold.By identifying the physical universe with the 16-dimensional sedenion algebra, we demonstratethat the properties of particles, forces, and spacetime are not arbitrary constants but inevitablegeometric consequences of this specific mathematical structure. The framework relies on exactlytwo mathematical input integers: the triality order of the octonions (τ = 3) and the dimensionof the exceptional Lie algebra G2 (dim(G2 ) = 14).