PFUSRC-051 Mathematical Reduction of the I Ching: Constancy as Foundation, Trinity as Substance, Change as Projection (Advanced Complete Edition)

This paper systematically carries out mathematical reduction of the I Ching based on PFUSRC topological ontology and puts forward three core arguments. First, the core essence of the I Ching is constancy rather than change; constancy refers to the Trinity, namely one unified universe, one fundamental logic and one self-circulating topological living body, while all changes are projective manifestations of constancy, and simplicity serves as the minimal encoding method. Second, eight trigrams are not divination symbols or philosophical metaphors, but systematic codes generated by ancient observers via PFUSRC unary binary-state topological encoding, which record the distribution of explicit/implicit existence in dynamic three-dimensional space. A single solid line stands for explicit existence (1), while a broken line represents implicit existence and topological gaps (1⁰). Three-line trigrams record instantaneous projective slices of four-dimensional flux on three-dimensional space, and six-line hexagrams reflect unfolding trajectories of four-dimensional flux instead of real closed six-dimensional space. Third, the River Chart (Hetu), Luo Writing (Luoshu), the Great Extension Number and core propositions of the Xici Commentary can all be precisely mapped to PFUSRC topological constants including the 45° steady-state angle, 55 topological nodes and the Ψ-Ξ anchoring mechanism. This paper reveals the dimensional truth hidden in trigrams and hexagrams which has been ignored for thousands of years, corrects Leibniz’s misinterpretation of trigrams as pure binary arithmetic, and reconstructs the historical rupture from pre-Qin dynamic topological cosmology to static Neo-Confucian Heavenly Principle theory. The advanced complete edition further links I Ching encoding to the phenomenological verification series of PFUSRC, proving that the trigram system corresponds to testable cosmic topological structures verified by gravitational phenomena and continuous rotation of objects in space.