The Chiral Seam: How a Single Geometric Boundary Generates the Standard Model of Particle Physics
Abstract The Standard Model of particle physics is the most precisely tested scientific theory in history. It predicts the behavior of fundamental particles to eleven decimal places of accuracy. Yet for all its predictive power, it is structurally incoherent. It contains twelve fermion masses spanning twelve orders of magnitude, several independent coupling constants, mixing angles, a handedness asymmetry in the weak force, and exactly three generations of matter — none of which it explains. These are parameters measured experimentally and inserted by hand. The theory tells us what reality is, but not why it has to be that way. This paper synthesizes a framework of six papers that proposes a radical answer: none of these parameters are arbitrary. All of them — the masses, the forces, the chirality structure, the number of generations — are the necessary algebraic consequences of a single two-dimensional geometric boundary separating a spherical domain from a hyperbolic domain...