Nuclear Stability and Decay as Collective Geometry. The Fermi Velocity as Phase Barrier and Beta Decay as Algebraic Fission

Observed The stability of atomic nuclei and the phenomenology of nuclear decay have traditionally required the postulation of fundamental forces—the strong and weak interactions—mediated by exotic particles (gluons, W and Z bosons). Proposed This paper develops the formal framework for Hypothesis of Nuclear Collective States (in Spanish, Hipótesis de los Estados Nucleares Colectivos, HENC), a geometric alternative rooted in the Gradient Indeterminacy (I-G) principle. We propose that nuclear stability arises not from force mediation but from geometric phase saturation (the 720° condition derived from double indeterminacy saturation) and kinetic barriers set by the Fermi velocity of internal field fluctuations. Beta decay is reinterpreted as algebraic fission of a collective quantum state, with the neutrino emerging as a necessary geometric residue for phase conservation. Speculative This framework eliminates the need for color charge, quarks, and weak bosons, offering a parsimonious ontology consistent with known observations and falsifiable through entanglement measures and geometry-dependent cross-sections.