Paper IX of the Brane-Bulk Series The Four Forces as Geometric Stasis in the Brane-Bulk Interface B. D. Jagadeesan, MD

The four fundamental forces are proposed to be four distinct modes of geo- metric stasis at the brane-bulk interface, all arising from the same octonionic structure. Gravity is the sump mechanism the bulk curvature response to brane mass concen- trations (Papers V, XXVI). Electromagnetism is the radial wave mode at the interface boundary (Paper VI). The weak nuclear force is the mode transition between the two quaternionic subalgebras H+ and H− it is the algebraic "crossing" between the matter and antimatter sectors, mediating avour change. The strong nuclear force is the closure condition on three-body standing waves in the H−= {e4,e5,e6,e7} sector, derived from the octonionic associator [e4,e5,e6] = -2e7. All four forces unify at the brane nucleation event temperature T_BH when the distinction between matter and antimatter focal zones disappears. GUT unication (SU(5), SO(10)) is excluded because it would unite H+ and H−sectors that are algebraically distinct. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.