Starting from the mathematical structure of Taiji, the Two Modes, Four Images, and Eight Trigrams in the Book of Changes, this article systematically explores the information-carrying capacity of Bazi and Qimen Dunjia as divinatory systems. Through analysis of Yin-Yang, the Five Phases, the Hetu and Luoshu, and other classical mathematical foundations, it seeks to provide a unified perspective for measuring and comparing the information volume of these two arts.

'An in-depth analysis of the core differences between the "Life Chart" (Mingpan / Zhongshen Pan) and the "Hourly Chart" (Shi Pan / Shijia Qimen) in Qimen Dunjia. Exploring from the dimensions of temporal scope, analytical logic, application range, and philosophical essence, this article reveals the dialectical relationship between fate and contingency in Yixue divination.'

A thorough exploration of the principles behind Qimen Dunjia's capacity for 'multiple judgments from a single chart.' Through holographic cosmology, multidimensional coordinate systems, the symbolic system of universal correspondences, and the shifting of Taiji focal points, this article dissects the core mechanisms of what is regarded as the highest art of divination in ancient China.

This article offers an in-depth reading of the core proposition concerning the Xian (Influence/Resonance) hexagram of the Yijing: 'The Xian of the Yi reveals husband and wife. The way of husband and wife must not be left uncorrected, for it is the root of ruler-minister and father-son relations.' It systematically examines the hexagram's position in the structure of the Yi, the etymological relationship between xian and gan (resonance), and analyzes how 'the soft above and the firm below' embodies the principle of yin-yang sympathetic resonance and its foundational significance for pre-Qin ethical order.

This article offers an in-depth examination of the "Dali" chapter of the *Xunzi*, focusing on the dialectic between penal law and moral virtue (*xingde*) alongside the discourse of the "heaven-ordained people" (*tianmin*). By analyzing the historical evolution of penal practices, it elucidates the core tenets of pre-Qin Confucian populism and governance philosophy, underscoring the critical role of ritual and music in moral transformation while uncovering the metaphysical foundations of social order embedded in pre-Qin political thought.

This essay examines the Summer Solstice from the perspectives of pre-Qin Confucian and Daoist philosophy, etymology, astronomy, and phenology. It analyzes the dual meaning of zhi (至) as both 'ultimate' and 'turning point,' reveals the cosmic pivot of 'one yin arising at the Summer Solstice,' and elucidates the ancient rites of gnomon shadow-measurement and solstice sacrifices — illuminating the ancestral wisdom of vigilance at the peak and moving in accord with the seasons.