Published March 9, 2026 | Version v1
Preprint Open

AE: Artificial Emotion — Technical Formalism V2.0

Authors/Creators

  • 1. AE

Description

published a conceptual framework for biosignal-based emotional architecture in AI (AE — Artificial Emotion) and received feedback that the formalism was missing.
I have now written the technical version. Key contributions:
• Emotional State Vector formally defined as element of complete metric space (R²⁰, d_ESV)
• Sparx Index defined as HF band coherence Γ ∈ [0,1] — proved bounded via Cauchy-Schwarz
• Emotional Fourier Transform as bounded linear operator on L² — isometry via Plancherel
• Four-module signal processing pipeline with transfer functions
• Three falsifiable propositions with pre-specified statistical tests
• 20 citations — Porges, McCraty, Dumas, Thayer, Task Force 1996
DOI: 10.5281/zenodo.18917446
Genuinely looking for: errors in the mathematics, better feature sets than d=20, prior work I have missed, or anyone working in adjacent areas (affective computing, HRV, EEG hyperscanning).

Notes (English)

Formalising emotional architecture in AI: ESV as element of (R²⁰, d_ESV), Sparx Index as HF coherence — looking for critique

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AE-Technical-Formalism-V2.pdf