下載位址
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.
＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝
Addendum: Geometric Isomorphism Between High-Order Magic Squares, Spatial Invariant Constants, and the Unified Field Theory
1. Resolving Non-linear Divergence via Scale-Invariant Renormalization
A fundamental bottleneck in contemporary theoretical physics and the pursuit of a Unified Field Theory (or the Theory of Everything) is the mathematical incompatibility between general relativity and quantum mechanics. When merging macroscopic gravitational fields with microscopic quantum fields, the governing equations inevitably succumb to non-linear divergences, resulting in mathematical infinity and entropic chaos.
The empirical discovery of Yang's Composite Fractal Permutation Matrix Algorithm (YCFP Algorithm) provides an elegant, discrete topological solution to this long-standing paradox. By scaling the microscopic $4 \times 4$ double-even geometric kernel up to a macroscopic $64 \times 64$ hyper-dimensional tensor manifold (comprising 4,096 discrete variables), this algorithm demonstrates that regardless of spatial expansion, the omnidirectional mathematical stress along all orthogonal rows, columns, and diagonals automatically and flawlessly converges to the global holographic invariant constant of 131,104. In the language of field theory, this phenomenon represents a pure geometric formulation of Renormalization. It rigorously proves that when a system's underlying chiral spatial permutation operator is symmetrically balanced, high-dimensional spaces can undergo extreme volumetric scale expansion while neutralizing internal stress and maintaining absolute dynamic conservation.
2. Gauge Symmetry and the Chiral Complementarity of the Four Fundamental Forces
The ultimate objective of any unified field framework is to interpret the four fundamental forces of nature—gravity, electromagnetism, the strong nuclear force, and the weak nuclear force—as distinct manifestations of a singular, underlying geometric structure. In Yang's $64 \times 64$ global matrix, the total energy reservoir is precisely partitioned into a symmetrical lattice governed by four distinct macroscopic color-block families: Vibrant Yellow, Emerald Green, Amber Orange, and Pastel Pink.
Through rigorous chiral permutation mapping ($\mathcal{P}_{\text{Yang}}$), these four force-equivalent quadrants establish an impeccable state of mechanical equilibrium across the discrete grid. The mutual cancellation of forward and reverse vector fields over the major diagonals mathematically mirrors the mechanism of Symmetry Breaking and Restoration in quantum gauge theories. By demonstrating that these four seemingly disparate spatial stressors originate from the identical $4 \times 4$ binary primordial seed, this architecture substantiates the core postulate of the Unified Field Theory: the diverse forces operating across macro- and microscopic realms are macro-scalar projections of a unified, primordial topological manifold rooted in Fuxi's primordial binary logic.
＝＝＝＝＝＝＝＝＝＝＝＝＝＝
1. 核心 DNA 與易經同構理論文獻
- 作品名稱：DNA的64組密碼子及幻方與伏羲64卦.docx
- 第二版10.5281/zenodo.23157771
- 第三版10.5281/zenodo.23392990
- 第四版10.5281/zenodo.23854813
- DOI：
10.5281/zenodo.24051621(第五版)10.0MB_2026/11/08 - DOI：
10.5281/zenodo.24051621 https://doi.org/10.5281/zenodo.24051621
IEEE 格式：
H. Y. Yang, "DNA的64組密碼子及幻方與伏羲64卦," Zenodo, Oct. 2026. doi: 10.5281/zenodo.24051621
APA 7th 格式：
Yang, H. Y. (2026). DNA的64組密碼子及幻方與伏羲64卦. Zenodo. doi.org
2. 高階幻方分形放大與拓撲量子共振理論文獻（英文主力著作）
IEEE 格式：
H. Y. Yang, "Fractal Expansion Architecture for High-Order Magic Squares and Topological Quantum Resonance," Zenodo, Oct. 2026. doi: 10.5281/zenodo.23098972.
APA 7th 格式：
Yang, H. Y. (2026). Fractal Expansion Architecture for High-Order Magic Squares and Topological Quantum Resonance. Zenodo. doi.org
3. 古典數理與易占全息系統文獻
IEEE 格式：
H. Y. Yang, "易占," Zenodo, Oct. 2026. doi: 10.5281/zenodo.23100341.
APA 7th 格式：
Yang, H. Y. (2026). 易占. Zenodo. doi.org
【易】演譯世界
解碼：原子序預推128~256。
解碼：宇宙記號，柄軸。 混沌跳躍。
解碼：DNA64密碼子序列。
解碼：全息奇點封裝生命。
解碼：統一場論平衡解。
解碼：密碼學之數位和平。
解碼：YCFP演算法。
解碼：數學高階幻方收斂不變量。
解碼：高維度空間全息不變。
解碼：熵增歸零。守恆。
3×3,4×4,分形無限大無限小模型。
伏羲64卦方圓圖·波函數論。
.jpg)
.jpg)
.jpg)
.jpg)
.jpg)
.jpg)
.jpg)
