From Communication Dynamics Theory (2015) to Foundation Models (2026)
Reality as Information — Physical & biological systems modeled as Shannon communication channels
Polygon error-control / DFT spectral basis
Block-circulant operators
Noise constant κ₀ = CD = 0.0118
Pan, Güldal, Baugh & Tanik, SDPS 2015
"Communication Theory Based Mathematical Models for Biomolecular Systems"
Pan, Skidmore, Güldal & Tanik, JIDPS 2022
"Application to Modelling the Valence Shell Orbitals of Periodic Table Elements"
Pan, L., arXiv:2605.08171, 2026
"Communication Dynamics Neural Networks: FFT-Diagonalized Layers for Improved Hessian Conditioning"
High-dimensional reality compressed into structure-preserving manifolds
~10× compute reduction in downstream models
Molecular graphs • Reactions • Physicochemical space
AINN-P1 • Genomic • Protein • Peptide • RNA sequence space