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 ($\mathrm{E}_{\mathrm{e}}$), Information Fidelity Entropy ($\mathrm{E}_{\mathrm{f}}$), and Interaction Quality Entropy ($\mathrm{E}_{\mathrm{i}}$). Empirical analysis of 5,000 official and 1,000 control videos from Douyin revealed critical patterns: (1) Exponential decay of $E_{e}$ with a $32 \%$ acceleration post- 72 hours (attributed to platform algorithms); (2) Official content exhibited higher entropy stability (Median $\mathrm{E}_{\mathrm{i}}=1.45$ vs. 1.12, Cohen’s $\mathrm{d}=1.05$); (3) High-entropy videos outperformed low-entropy counterparts in cross-platform sharing ($23 \%$ vs. $12 \%$) and cultural depth ($\mathrm{E}_{\text {culture }}=0.736$ vs. 0.412). The model integrates LSTM path prediction and blockchain-enhanced fidelity optimization, validated via cross-platform API synchronization (Bilibili, $\mathbf{r = 0. 7 9}$) and blockchain-encrypted data verification.