Molecular Geometry from Hopf Vortex Topology: Bond Angles, Covalent Binding, and the Universal Correlation Constant in the PEW Framework

The Primordial Energy Wave (PEW) framework models electrons as Hopf vortices of the Mother-Wave field Ψ = ÷exp(iθ). This article demonstrates that molecular geometry — bond angles, bond lengths, binding energies, and vibrational frequencies — follows directly from the topological structure of these vortices, with no empirical force-field parameters. Five central results are presented along the derivation chain H → H₂ → O → H₂O → extended chemistry: MSC: 81V55 · 81Q05 · 92E10 PACS: 31.10.+z · 31.15.-p · 33.15.Dj · 31.25.-v