在观物论关于太极图中“乾”“坤”“复”“gou(女后）”与宇宙的讨论中，阳仪从“乾”到“复”、阴仪从“坤”至“gou(女后）”，各32卦。“乾坤”称为大父母，“复gou(女后）”称小父母。

以阳为讨论对象则以"乾"为元,记为一,从"乾"分化到阳仪之终"复",其基本阳单元大小为:

(1/1)*(1/12)*(1/30)*(1/12)*(1/30)*.....=12-16*30-15=3.76948*10 -40 （22）

“乾”为阳的整体,“复”为其中最小量化单位,两者之比为:

ymax=1/(12-16*30-15)=2.652886*1039 (23)

考虑对12和30的修正，则 ymax=2.66193719*1039 (24)

以阴为讨论对象则以"坤"为元,记为一,从"坤"分化到阴仪之终"gou(女后）",其基本阴单元大小为:

(1/1)*(1/30)*(1/12)*(1/30)*(1/12)*....=12-15*30-16=1.50779*10 -40 (25)

“坤”为阴的全体,“gou(女后）”为其中最小单位量,两者之比为:

nmax=1/(12-15*30-16)=6.6322*1039 (26)

考虑对12和30的修正，则 nmax=6.66258357*1039 (27)

狄拉克根据一些物理常数的无量纲组合具有1039相同数量级的事实假设貌似毫不相关的物理常数之间存在着简单关系。即电子与核子间的电磁作用与引力作用之强度之比为

e2/(Gmemp)=2.53*1039 (28)

作用力问题由阳仪描述,e-p系统中,电磁作用相当作用的全部而引力作用相当最小作用单元,因此, 式（24）可以很好地解释e-p作用力比现象。

宇宙年龄 H0-1与原子单位时e2/(mec3)之比为

H0-1/[e2/(mec3)]=7*1039 (29)

时间是典型的阴类物象,由阴仪描述。显然宇宙年龄与原子单位之比符合nmax的定义。

可见，根据观物论的讨论，我们可以对狄拉克大数作出很方便的说明。

参考 文 献

[1]柯资能.邵雍数学学派科学思想初探：[硕士学位论文].合肥：中国科学技术大学,1994

[2]邵雍(北宋).观物篇(四库全书 803册).上海:上海古籍出版社,1999,291-1088

[3]张行成(南宋).易通变(四库全书 804册).上海:上海古籍出版社,1990,200-717

[4]李志超.天人古义.河南:河南教育出版社,1995:61-73

[5]束景南.中华太极图与太极文化.苏州:苏州大学出版社,1994:56-74

Bei Song Shaoyong Maths School and the annotation of some no-dimensional constants

Ke Zineng

(Division of Teaching affairs USTC)

Abstract Chinese traditional Xiangshuxue(象数学), which rooted in the accumulation of timeless investigation into the complex phenomena such as Cloudscape (云雷纹),is a symbol system of Oriental organic nature philosophy. Base on the theory, Bei Song(北宋) Shaoyong(邵雍 A.D 1011-A.D.1077) Maths School started with symmetry of nature system and brought forward a universal theory about nature system spontaneous self-similar period-doubling evolution named as Guangwulun(观物论).The article find some internal relation between the universal theory and Chaos and successfully explain several important no-dimensional experience constants such as Feigenbaum’s constants, Reciprocal of fine-structure constant, SU(5) coupling constant, Diracal constants through primary study. And all this maybe a hint of amalgamation of the traditional nature thoughts between Orient and Occident:

 
Find out definition of Feigenbaum’s constants in Guangwulun.
Base on the space-time characteristic of now-cosmos draw out its measure model and eigenvalue 137.03598822, so give a explanation to Reciprocal of fine-structure constant.
Base on the space-time characteristic of exltra early stage cosmos draw out its measure model and eigenvalue 41.0112683, so give a explanation to SU(5) coupling constant.
4. In the discussion of cosmos base on Fig of Taiji(太极图) of Guangwulun, the maximum relative value of Yangyi(阳仪) which is symbol for Dynamic object or conception such as energy, action force etc, is 2.652886*1039 . The maximum relative value of Yinyi(阴仪) which is symbol for Static object or conception such as time, structure etc, is 6.6322*1039.So give a explanation to Diracal constants 1039.

Key word Cloudscape, Guangwulun, Chaos, Period-doubling, Feigenbaum’s constant, Reciprocal of fine-structure constant, SU(5) coupling constant, Diracal constant.