Information-Causality Field and the Unified Field Theory Based on 11-Dimensional T^3 Torus Fractal Geometry -- Paper V: Topological Solitons and Particle Physics: Scale-Invariant Equivalence of Cosmic and Sub-Atomic Geometry, QED Normalization, and Proof of Quark Confinement via Z_900 Ring Topology

We establish the fundamental scale-invariant equivalence between the macroscopic cosmological field framework and microscopic particle structures under a unified discrete T^3 x Z_900 topological geometry. By eliminating the point-particle paradigm (r → 0) and its associated ultraviolet divergences, elementary particles are derived as localized topological solitons (soliton knots) embedded in the vacuum lattice. We prove that the same Z_900 integer ring and its φ(900) = 240 coprime automorphism channels that govern cosmic expansion also dictate sub-atomic scale locking. The electron is derived as a single-filament topological loop with a spring radius r_spring,e = 225λ_C,e ≈ 0.869 Å, anchoring the atomic Bohr radius. The proton is formulated as a 3-fold Borromean intersecting knot, yielding a core charge radius of r_spring,p ≈ 0.841 fm in exact agreement with muonic hydrogen measurements. Furthermore, quark confinement is proven as an exact mathematical theorem: the non-separable link topology of the Borromean knot prevents isolated quark extraction without injecting sufficient lattice strain energy to trigger topological pair creation (meson emission). Quantum Electrodynamics (QED) self-energy divergences are naturally regularized by a centrifugal vacuum restoring barrier without ad-hoc counterterm renormalization. This framework also successfully reinterprets high-energy collider dynamics, demonstrating that the apparent point-particle illusion arises from the dynamic contraction of the topological form factor under high momentum transfer.