DephazEAudi0 — Φ³-based Topological Audio Reconstruction
Abstract
DephazEAudi0 is a real-time audio processing system that reconstructs PCM audio by embedding each individual sample into a Φ³-anchored geometric space. Instead of operating in the time or frequency domain, the system treats digital samples as geometric states and compares them against an ideal spherical symmetry.The audible result is derived from the controlled breaking of this symmetry and projected back into the signal domain through a single closed-form relation (Ξ). This approach directly computes geometric relationships that cannot be derived through conventional DSP techniques based on envelopes, thresholds, or spectral decomposition. DephazEAudi0 operates without time-based memory, attack/release behavior, or frequency-band separation.All dynamic behavior emerges from instantaneous geometric relations within the embedded space. The archive contains a Python reference implementation, a Rust-based executable using the same mathematical core, and a visualization illustrating the resulting topological behavior. Project website:https://dephaze.eu/ Source repositories:https://github.com/angusdewer
Fields of Study & Subjects
Music Technology and Sound Studies
Music and Audio Processing
Speech and Audio Processing
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 14 January 2026