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DNA64與伏羲64
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DNA的64組密碼子及幻方與伏羲64卦
楊氏複合分形對調矩陣演算法（Yang's YCFP Algorithm）
之數理建構與全息基因表達
This work is licensed under a Creative
Commons "Attribution-NonCommercial-ShareAlike" International License.
Copyright © 2026 楊宏彥 (Yang, Hong-Yen). Some Rights
Reserved. (保留部分權利)
摘要 / Abstract
【中文摘要】
本研究成功建構一套基於伏羲先天二進位序列的「複合分形對調矩陣演算法」。本演算法打破傳統形態學猜想，嚴格以 DNA 鹼基氫鍵熱力學配對
（𝑇=00,𝐶=01,𝐴=10,𝐺=11）為底層算子，實現了遺傳密碼子與六十四卦自
0 至 63 的平滑線性對位。研究發現，微觀的 4×4 全息種子核透過手性空間對調與冪次遞迴，能極限拓撲放大至 64×64 巨觀矩陣，其全局邊際和精確收斂於不變量 131,104；同時，逆向減法模型亦實證了多尺度微觀收斂之無限小極限。Table 4.1 更完美縫合了 20 種胺基酸與伏羲卦名，揭示起始與終止訊號在空間拓撲上的邊界約束與剛性守恆。本研究成功為現代計算生物學與神聖幾何學，提供了一個大圓滿的封閉數理範式。
【Abstract】
This study successfully constructs a "Composite Fractal Permutation Matrix
Algorithm" based on Fuxi's primordial binary sequence. Departing from
conventional morphological conjectures, this algorithm strictly utilizes the
DNA base hydrogen-bonding thermodynamic pairings (𝑇=00,𝐶=01,𝐴=10,𝐺=11) as
foundational operators, achieving a seamless linear mapping of genetic codons
and the 64 hexagrams from 0 to 63. The research demonstrates that the 4×4
microscopic holographic seed kernel, through chiral spatial permutations and
power-series recursions, topologically scales up into a 64×64 macroscopic matrix,
with its global marginal sums precisely converging to the invariant constant of
131,104. Concurrently, the inverse subtraction model validates the
infinitesimal limit of multiscale microscopic convergence. Furthermore, Table
4.1 flawlessly integrates 20 amino acids with Fuxi's sequence, revealing the
spatial boundary constraints and rigid conservation of start and stop signals.
This research provides a perfectly harmonious and closed mathematical paradigm
for contemporary computational biology and sacred geometry.
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