Selective State Space Modeling for Real-Time Genomic Surveillance of HBV on Bio-Electronic Memristive Substrates

This article introduces a revolutionary paradigm shift in molecular diagnostics for the Hepatitis B Virus (HBV). Traditional genomic analysis is currently bottlenecked by the quadratic scaling (O(n^2)) of Transformer-based AI architectures, which necessitates centralized, high-power computing infrastructure. This research presents an Omega-Native framework that utilizes Selective State Space Modeling (SSM)—specifically the Mamba architecture—to achieve linear-time complexity (O(n)). This breakthrough enables "infinite context absorption," allowing whole-genome sequences (3.2kb) to be processed with high fidelity on edge-native hardware, such as standard mobile devices. Key Technical Contributions: Algorithmic Sovereignty: Demonstrates a 10.5x acceleration in latency and a 99.8% reduction in memory footprint compared to 2025-era Transformer models. Substrate Autopoiesis: Explores the integration of computational logic into organic memristive substrates (fungal mycelium), achieving a 50,000x increase in energy efficiency through biological free-energy minimization. The HERM Process: Defines a novel Holistic Enigma Resolution Metasystem to eliminate AI "hallucinations" by anchoring digital twin outputs to physical biological actuality. Chiral Enforcement: Mathematically formalizes a directed-flow constraint in state recurrence to prevent information backscattering and ensure diagnostic determinism. Impact: By decentralizing molecular diagnostics and removing the "Von Neumann bottleneck," this study provides a foundational blueprint for Decentralized Bio-Sovereignty. It empowers local clinicians in resource-limited environments with "Sovereign Lab-Pilots" capable of autonomous, real-time genomic surveillance and falsification-proof diagnostics. Keywords: Hepatitis B, Genomic Surveillance, Mamba Architecture, Selective State Space Models, Bio-computing, Mycelium Memristors, Active Inference, Decentralized Diagnostics, Autopoiesis.