The Geometric Vacuum: Quantum Mechanics from Discrete Information Geometry (Papers 7, 11, 12, 13)

Four papers establishing the natural geometry hierarchy for quantum mechanics from discrete graph topology. Paper 7 proves that the discrete graph Laplacian on S^3 is mathematically equivalent to the Schrodinger equation (18/18 symbolic proofs). Paper 11 extends the framework to diatomic molecules via prolate spheroidal coordinates (H2+ at 0.70% error). Paper 12 introduces algebraic two-electron integrals via the Neumann expansion (H2 at 92.4% D_e). Paper 13 implements the hyperspherical adiabatic method for two-electron atoms (He at 0.05% error) and demonstrates ab initio molecular spectroscopy from electron lattice to rovibrational lines.