Conservation Spectral Analysis — Publication-Ready Papers

Three research papers on conservation spectral analysis, prepared for peer review.

Papers

Paper 1: Theory

"Spectral Conservation: A Universal Measure of Structural Coherence in Complex Systems"

• Target: Journal of Mathematical Physics / Physical Review E
• Directory: paper1-theory/
• Five foundational theorems (T1–T5), the Conservation Universal Theorem, Domain Transfer Theorem, and Grand Unified Theorem (V3 with corrected Ramanujan bounds)
• 12 experimental domains with honest negative results

Paper 2: Applications

"Conservation Spectral Analysis for Cross-Domain Anomaly Detection"

• Target: Nature Computational Science / PNAS
• Directory: paper2-applications/
• ConservationRegimeDetector algorithm
• 7-domain experimental campaign, mean AUC 0.92
• +0.22 over strongest baseline

Paper 3: Agents

"The Laplacian as Compatibility Operator: Agent-Native Communication via Spectral Alignment"

• Target: AAMAS / JAIR
• Directory: paper3-agents/
• A2A Spectral Protocol
• Fiedler routing, PLATO rooms, conservation-based trust
• Multi-agent fleet simulation with adversarial injection

Building

Each paper directory contains a Makefile:

cd paper1-theory && make
cd paper2-applications && make
cd paper3-agents && make

Requires a LaTeX distribution with pdflatex.

Reproducibility

All experiments are reproducible via the open-source Conservation Spectral SDK (9 languages, 204 cross-verified tests).

License

MIT

Part of the SuperInstance OpenConstruct ecosystem.