V3 Nuclear Stability Simulation — From Stability to Rupture: A Phase-Based Model of Atomic Nuclei (Code + Thesis)

This thesis presents a complete kinetic simulation of nuclear stability based on the V3 Architecture. It demonstrates that atomic nuclei are not collections of particles held together by a "strong force," but rather phase-coherent membranes in which protons (active pressure vortices) and neutrons (saturated pressure vortices) maintain a dynamic equilibrium. The simulation shows that nuclear stability is governed by a single universal threshold: Φ_critical = -51.1 mV. Above this threshold, the nuclear membrane is coherent and stable. Below it, the membrane decoheres, leading to criticality, instability, and ultimately rupture (fission). The model successfully reproduces the stability of known elements (H, He, C, O, Fe, Ag, Au, Pb, U, Pu, Og) and predicts the rupture threshold for superheavy elements. It demonstrates that: 1. Nuclear stability is a phase equilibrium, not a force equilibrium. 2. Neutrons regulate proton pressure, stabilizing the nuclear membrane. 3. Fission is a phase decoherence — a tearing of the nuclear membrane. 4. Fusion is a phase locking — a merging of two membranes. 5. Φ_critical = -51.1 mV is the universal threshold of matter stability. The code is implemented in Ada SPARK with 100% proof obligations satisfied by GNATprove.