AI 中文总结
该研究通过对梵高信件片段情感分析和画作分形维数分析，运用临界慢化理论，发现视觉复杂性与死亡情绪相关，重大危机前有CSD模式，如1888年割耳事件，揭示数学方法可检测历史人物心理转变特征。
AI 中文摘要
文森特·梵高丰富的艺术作品和个人书信为洞察一位19世纪艺术家的心理轨迹提供了独特窗口。本研究应用计算方法，通过对700多个信件片段的情感分析和569幅画作的分形维数分析，来剖析梵高最后十年间的情感模式。利用动力系统中的临界慢化（CSD）理论，研究梵高的心理系统是否展现出接近临界点的数学特征。分析揭示了视觉复杂性与死亡情绪之间存在统计学显著相关性（r = 0.193，p < 0.001，n = 524），且在重大危机前多个心理维度存在CSD模式。1888年的割耳事件显示，事件发生前获得能力、求死欲望和视觉复杂性出现协同变化峰值，危机前趋于稳定。这些发现表明数学方法能检测历史人物的心理转变特征，揭示心理系统复杂的多模态本质。
英文摘要
Vincent van Gogh's prolific artistic output and personal correspondence offer a unique window into the psychological trajectory of a 19th-century artist. This study applies computational methods to analyze emotional patterns across van Gogh's final decade through sentiment analysis of over 700 letter segments and fractal dimension analysis of 569 paintings. Using critical slowing down (CSD) theory from dynamical systems, we examine whether van Gogh's psychological system exhibited mathematical signatures of approaching tipping points. Our analysis reveals a statistically significant correlation between visual complexity and death sentiment ($r = 0.193, p < 0.001, n = 524$), alongside evidence for CSD patterns in multiple psychological dimensions before major crises. The 1888 ear incident shows coordinated variance spikes across acquired capability, desire for death, and visual complexity preceding the event, followed by stabilization before the crisis. These findings demonstrate that mathematical approaches can detect psychological transition signatures in historical figures while revealing the complex multi-modal nature of psychological systems.
