One-Object Universe: Geometric Unification of the Lepton Mass Spectrum, Anomalous Magnetic Moments, and Force Structure from a Five-Dimensional Pseudosphere Manifold
Caitlin Dempsey McKoy · Zenodo (CERN European Organization for Nuclear Research) · 2026
This paper presents the One-Object Universe (OOU) framework, in which the three generations of charged leptons, their anomalous magnetic moments, and the four fundamental forces emerge as geometric projections of a single five-dimensional pseudosphere manifold with S⁵ topology and SO(6) rotation symmetry. Two free parameters reproduce all three lepton masses to 0.007% precision and establish the Koide formula as a geometric theorem rather than a numerical coincidence. A new falsifiable prediction is identified: the Brannen tilt angle θ₀ = 12.732° should converge with the Cabibbo angle θ_C = 13.04° under renormalization group running to the Planck scale, unifying lepton masses and quark flavor mixing under a single geometric parameter. The Standard Model gauge group SU(3) × SU(2) × U(1) is recovered as a natural subgroup of the S⁵ rotation symmetry. Additional results include a structural account of the muon g-2 anomaly, the cosmological constant problem, nuclear stability, and the Hard Problem of consciousness, all treated as consequences of dimensional projection rather than independent phenomena.