The Cartesian Crystalline Nucleus: Strong Geometric Confinement and Weak ℝ⁵ Resolution

The formalization of the Universal Action Threshold (𝒜ₜ) establishes a strict thermodynamic boundary between probabilistic potential in ℝ⁵ and realized mass in ℝ⁴. By applying this geometric accountability, this paper resolves the physical mechanics of the phenomena historically categorized as the Strong and Weak nuclear forces. We demonstrate that subatomic processes do not require the exchange of independent bosonic "messenger particles." Instead, these interactions emerge naturally as deterministic expressions of topological strain, geometric coordinate confinement, and localized quantum gravity upon a discrete spatial grid. By algebraically applying 𝒜ₜ to empirical string tension, we mathematically derive the mass, topological isomerism, and precise volumetric radius of the nucleon, culminating in a unified mechanical model of strong geometric confinement and weak ℝ⁵ resolution.