Geometric Standard Model: Part IV. Dimensional Saturation, Quark Confinement, and the Dark Sector

Extending the topological heuristics of the 3+1+2 multitemporal metric, this paper explores the geometric limits of dimensional saturation, quark confinement, and the nature of the dark sector. We propose that the strict termination of the Standard Model at three fermion generations is geometrically dictated by the exhaustion of orthogonal axes in 3D space, deriving the tau-to-electron mass ratio (m_τ/m_e ≈ 3437) as the ultimate topological saturation limit. Furthermore, fractional charges are geometrically modeled as open topological segments requiring tripartite interlocking for spatial stability, naturally yielding quark confinement and the proton-to-electron mass scaling (6π^5 ≈ 1836.1). Finally, we discuss topological slipping—a failure to meet 3D spatial embedding limits—as a heuristic geometric mechanism for neutrino oscillations and propose totally collapsed transverse-time knots as a natural macroscopic candidate for Cold Dark Matter.