Spline theory as an analog physical process — continuous curves from differential equations, deadband settling, and spectral gap analysis.
- Spline-as-physics — splines derived from mechanical analogies (beams, springs, gravity)
- Deadband settling — curves converge to targets within friction/gravity deadbands
- Spectral gap analysis — connection between spline smoothness and eigenvalue gaps
- Formal proofs — shipwright theorem and related mathematical foundations
SYNTHESIS.md— unified theory documentADVERSARIAL-SYNTHESIS.md— multi-model debate and refinementFINAL-5-MODEL-SYNTHESIS.md— convergence across 5 AI modelsshipwright-theorem-formal.md— formal statement and proof sketch
The theoretical foundation for:
- analog-spectral — Rust implementation of analog dials and thermostats
- constraint-theory-core — unified constraint theory library
- constraint-substrate — 5 cross-language constraint primitives
MIT