Article 7: Galaxies and Stellar Systems as Vortex Opercula: Gastropod Shell Geometry, Dark Matter as Mother-Wave Body, and the Universal Apex Relation in the PEW Framework

The Primordial Energy Wave (PEW) framework models all physical entities as topological vortex configurations of a single complex scalar field Ψ = ÷eiθ. Previous articles established the gastropod shell topology — a flared upper gate and a quasi-closed apex — as the fundamental geometry of all PEW vortices [Art. 1–6]. The present article extends this geometry to galactic and stellar scales with a key reversal of perspective: galaxies and stellar systems are not the vortices themselves, but their opercula — the thin baryonic condensation membranes sealing the apertures of much larger Mother-Wave fluctuations whose three-dimensional bodies constitute dark matter. From the logarithmic spiral geometry of the…