Model Analysis of Communication Entropy of Intangible Cultural Heritage within a Smart Ecosystem Framework

Based on the Intelligent Ecology Theory and Digital Humanities Technology, this study proposes Cultural Communication Entropy (CCE), a quantitative model for evaluating intangible cultural heritage (ICH) dissemination. The framework integrates spatiotemporal dimensions-open systems, nonlinear interactions, and dynamic entropy-through three core indicators: Communication Efficiency Entropy (E\textlessinf\textgreatere\textless/inf\textgreater), Information Fidelity Entropy (E\textlessinf\textgreaterf\textless/inf\textgreater), and Interaction Quality Entropy (E\textlessinf\textgreateri\textless/inf\textgreater). Empirical analysis of 5,000 official and 1,000 control videos from Douyin revealed critical patterns: (1) Exponential decay of E\textlessinf\textgreatere\textless/inf\textgreater with a 32\% acceleration post- 72 hours (attributed to platform algorithms); (2) Official content exhibited higher entropy stability (Median E\textlessinf\textgreateri\textless/inf\textgreater=1.45 vs. 1.12, Cohen s d=1.05); (3) High-entropy videos outperformed low-entropy counterparts in cross-platform sharing (23\% vs. 12\%) and cultural depth (E\textlessinf\textgreaterculture\textless/inf\textgreater=0.736 vs. 0.412). The model integrates LSTM path prediction and blockchain-enhanced fidelity optimization, validated via cross-platform API synchronization (Bilibili, r = 0.79) and blockchain-encrypted data verification.