Comparative analasis UHF

This work presents a systematic cross-domain comparison between the Unified Harmonic Framework (UHF) and conventional computational simulation methodologies, including Molecular Dynamics (MD), Density Functional Theory (DFT), and polariton chemistry modeling techniques. The analysis evaluates algorithmic scaling behavior, stability under high-coupling regimes, computational resource utilization, and coherence preservation across quantum and classical boundaries. Results indicate that UHF achieves significantly improved convergence efficiency, reduced computational overhead, and enhanced predictive fidelity in multi-scale vibrational-quantum systems. The findings highlight UHF's potential as a unified modeling platform capable of bridging molecular, photonic, and condensed matter domains, supporting both theoretical research and experimental implementation.