HodgeEmpathy: Topological Empathic Audio Synthesis via Hodge Decomposition
Prior art establishing: (1) canonical isomorphism between Hodge decomposition components (h,∇φ,δψ) and EEG frequency bands (θ,α,γ); (2) inversive synthesis method — brain state → audio signal via W*=∇φ*(α)+δψ*(γ)+h*(θ); (3) cobordism-continuous emotional morphing in H¹(M,ℝ); (4) empathy index EI=cos(F_audio,F_brain).
Authors
- Maksym Diachenko
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-06-27
- DOI
- https://doi.org/10.5281/zenodo.20971698
- Primary Topic
- Music Technology and Sound Studies
- Type
- preprint