The Deterministic Rupture of the Atomic Nucleus: Reinterpreting the Liquid Drop Model and Spontaneous Fission via Rough Operator Algebra (ROA)

The classical Liquid Drop Model and the Bethe-Weizsacker formula establish the stability limit of atomic nuclei. However, explaining the spontaneous decay of elements like Uranium—which fall far below the classical fissility threshold—relies on the probabilistic “QuantumTunneling Effect.” This paper exposes the physical contradictions of such statistical interpretations. Applying the Rough Operator Algebra (ROA) framework, we dismantle empirical constants and tunneling, redefining spontaneous fission as an absolute deterministic topological rupture driven by Mass-Torsion Coupling, and reinterpreting nuclear “magic numbers” as high-dimensional geometric Phase-Locking.