Hi everyone,
I’m excited to share SNT-GENOME, a new framework that extends the Spectral Nod Theory (SNT) operator framework to genomic sequence organization. While previous SNT work has focused on neural connectome dynamics (C. elegans) and working-memory architectures (SNT-MEM), this work applies the same GKSL-C*-Lie operator system to DNA-level coding structures.
Key Highlights:
Phase-Dependent Behavior: The system automatically adapts based on genomic density—operating in a conservation regime for high-density sequences (suppressing spurious ORF inflation) and an expansion regime for low-density sequences (building new coding structure).
Mathematical Rigor: Formalized as a GKSL-C*-Lie system using seven core operators to implement a diagnose-measure-delete-fill pipeline.
Stability Mechanisms: It features a frozen soft-clamp to ensure CPTP (Completely Positive Trace-Preserving) consistency and HORF projection invariance to prevent structural degeneracy.
Empirical Validation: Validated on real NCBI RefSeq sequences (E. coli, Prochlorococcus, M. genitalium, and pUC19). It achieved a +28.6% disjoint ORF gain on pUC19 while significantly suppressing noise in denser bacterial genomes.
I’ve documented the methodological development, including errors and corrections, to ensure transparency and reproducibility.
I’d love to hear your thoughts on this operator-algebraic approach to genome reorganization!
Full Paper/Abstract & Implementation details included.
Best,
Durhan Yazir