DephazEAudi0 — Φ³-based Topological Audio Reconstruction

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Authors: angus dewer
Cited by: 0

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