Quantum Superposition of Topological Phases: Topological Origin of Graviton Spin

This paper establishes a topological framework for quantum gravity through superposition of geometric phases. We define Hilbert spaces for spherical (S2), toroidal (T2), and gravitonic (half-torus) configurations, with transitions mediatedby Hodge theory. The model predicts that graviton spin s = 2 emerges from Berry phase accumulation during topological transitions between fermionic and bosonic sectors. Experimental signatures in particle scattering and quantum simulationprotocols are proposed.