We present a unified temporal mechanics of nuclear decay derived from the quaternionic Relational Operator Geometry (ROG-ℍ). We introduce the Quark Assignment Principle, defining the Down quark (d) as a Giver (positive Expectation, Φ₃ > 0) and the Up quark (u) as a Receiver (negative Expectation, Φ₃ < 0). We establish the corrected operator dynamics: SINK (Ŝ) translates Now (Δ) into Memory (Φ₁), while PUMP (P̂) translates Expectation (Φ₃) into Now (Δ). This yields the fundamental torsion commutator Ŝ, P̂(q) = (0, γδΦ₃, 0, 0), proving that the generation of temporal torsion is strictly dependent on the presence of Expectation. We demonstrate that alpha, beta, gamma, and spontaneous fission are not manifestations of distinct fundamental forces but successive stages of breakdown in the cyclic propagation of the gluon wave. We derive the Boson Degeneration Theorem: the photon, Z boson, and W boson are degenerated projections of the master gluon cycle. The W boson, carrying P̂, directly operates on Expectation (Φ₃), providing the geometric mechanism for flavor change. The stability of a nucleus is shown to be a function of the determinism of the Sequence axis (Φ₂). Decay initiates when scheduling conflicts between Givers and Receivers force Φ₂ into a stochastic state. All nuclear decay is traced to the unresolved torsion of a single temporal relay: the gluon wave.
Isong Otto Beseka (Tue,) studied this question.