Proton Stability — No Grand Unification

qualitative

Prediction

The Standard Model gauge structure $SU(3) \times SU(2) \times U(1)$ is constrained by the three-dimensional coherence geometry fixed point. No larger gauge group exists at higher energies. Proton decay will not be observed.

Derivation Sketch

1. The gauge structure emerges from the coherence geometry’s fixed-point solution
2. This solution is unique in $d = 3$ (no higher symmetry to break from)
3. Without a GUT group, there are no gauge bosons mediating proton decay
4. Baryon number conservation is exact, not approximate

Current Evidence

Super-Kamiokande has set lower bounds exceeding $10^{34}$ years for dominant GUT decay modes ($p \to e^+ \pi^0$), already ruling out minimal $SU(5)$. Hyper-Kamiokande will push sensitivity further.