Dephaze Topologies – Initial Public Disclosure

Dephaze Topologiesl software prototype demonstrating acomplexity-invariant implicit geometry representation. Instead of storing geometry as polygonal meshes or point clouds, Dephazerepresents shape as a phase-stabilized generative field resolved locallyaround an invariant zero-point reference (Ω₀). Geometric detail does notscale with stored data size; accuracy converges toward numerical and physicallimits rather than mesh resolution. The prototype demonstrates two complementary pipelines:(1) Primitive implicit topologies generated from a minimal parameter seed,and (2) abstract or scanned topologies projected into a directional phase mapand reconstructed either spatially (near-lossless) or via Fourier Top-Ktransport (extreme compression). Classical Lamé (superellipsoid) exponents are not used as defining surfaces,but as local curvature correction terms inside the Dephaze generative field.This allows continuous shape control without defining a metric space orglobal implicit surface. The repository contains an interactive web-based demonstration illustratingstorage scaling, reconstruction accuracy, and the contrast between spatialand frequency-domain transport. demo github web