QuantumOS: A Hybrid Quantum-AI Operating System Prototype Integrating UHF and SZTM Topological Harmonics for Entropy-Aware Control

Hybrid quantum-AI architectures face persistent challenges in entropy management, decoherence mitigation, and adaptive control. We introduce QuantumOS, a fully functional prototype that integrates the Unified Harmonic Framework (UHF), Stieve Zero-Point Topological Mathematica (SZTM), and recursive AI modules into a cohesive operating system. QuantumOS leverages entropy-aware runtime control, Hamiltonian evolution diagnostics, and multi-engine orchestration for cross-platform interoperability. Validation through VMEN diagnostics and slope-law metrics demonstrates reproducible, predictable behavior aligning theoretical models with actual engine outputs. This work establishes a benchmark for entropy-guided control, multi-agent stability, and hybrid quantum-AI integration, paving the way for enterprise, academic, and experimental applications.