HodgeEmpathy: Topological Empathic Audio Synthesis via Hodge Decomposition
Year: 2026
Type: preprint
Abstract: 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).
Author: Diachenko, Maksym
Language: English
Subfield: Computer Vision and Pattern Recognition
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166318940
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