Spacetime Topology S1 x S2 From General Relativity to Dark Matter

General relativity describes gravitational curvature with extraordinary precision but doesnot explain its fundamental origin. We propose that spacetime near a gravitational sourcehas toroidal topology S1 x S2, and that this topological structure is the primary cause ofcurvature rather than its consequence. From a single geometric postulate — thatgravitational wells correspond to topological holes of radius a = 2GM/c2 on the S1 x S2manifold — we obtain a universal tube-radius formula rtube = 2R3/a2 that is tested across37 orders of magnitude from atomic to cosmological scales. The framework is consistentwith all four classical tests of general relativity and provides competitive fits to flat galaxyrotation curves without invoking dark matter particles (tested against 109 SPARC galaxieswith two free parameters compared to three for NFW halos, achieving comparableBayesian Information Criterion scores). It accounts for the CMB quadrupole suppressionobserved by Planck, reducing chi2 from 707.5 (LCDM) to 193.9 at low multipoles (l =2-30), and suggests that planetary orbit quantization may arise from standing-wavemodes on the toroidal manifold. Six falsifiable predictions distinguish this framework fromstandard physics. The framework requires further mathematical development, particularlyin deriving the effective gravitational potential and CMB suppression from first principles.