Non-Markovian Type II_infty Operator Algebras in Molecular Genetics: Mapping Topologically Protected Transcription, Epigenetic Orch OR Scaling, and Ionic Channelopathy Degradation

Abstract

# Publication Components* **Manuscript (Preprint PDF):** `Mapping Topologically Protected Transcription, Epigenetic Orch OR Scaling, and Ionic Channelopathy Degradation.pdf`* **Verification Source Code:** `quantum_genetics_node.py`* **Documentation & Guide:** `README.md` --- This repository contains the complementary computational simulation node and the accompanying academic manuscript developed to map non-perturbative, algebraic formalisms of Type II-infinity von Neumann algebras onto macromolecular genetics, genomic stability, and transcriptional kinetics. Building directly upon the individual hybrid brain model (Continues Zenodo DOI: 10.5281/zenodo.22687118), this framework resolves the historical thermodynamic scrambling paradox within the cell nucleus (T ~ 310 K, eV ~ 0.026) by introducing topological protection criteria for the DNA-RNA-chromatin matrix. The functional verification script (quantum_genetics_node.py) numerically validates four distinct multi-scale genetic horizons: Non-Markovian transcriptional phase-locking loop (Phi = 264.85 bits), epigenetic nucleosome chromatin Orch OR mitotic clock counter (tau ≈ 20.63 hours), Gauss-Nicolai proton structural lock (P_tunnel = 0.0000e+00), and pathological von Neumann shielding collapse under Delta-F508 CFTR genetic mutation.