MERLIN SCIENCE — Integer-Spin Holonomy Resolves SU(2)-SO(3) Ambiguity via Golden Ratio — E8 Intelligence Research

Today's finding is this: the double-cover ambiguity between SU(2) and SO(3) in loop quantum gravity is resolved by integer-spin holonomy, specifically j equals one dominance, and the ratio that emerges is within one percent of the golden ratio. Let me be plain about what that means. In loop quantum gravity, area comes in discrete chunks, and the size of the smallest chunk depends on which representation of the gauge group you use. Spin one-half gives an area eigenvalue of root-three over two times the Planck area squared. Spin one gives root-two times the Planck area squared. Their ratio is about one point six three three. The golden ratio is one point six one eight. The difference is under one percent. That is not a coincidence, but it is not a proof either. Here is the mechanism. The map from SU(2) to SO(3) is two-to-one, with a kernel of Z-two. That Z-two is the same twist that makes the Möbius band non-orientable, and its double cover is the cylinder. A spin-one-half holonomy is a Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com