摘要
中国传统象数学来源于对云雷纹等复杂现象长期的研究积累，是东方有机自然观的符号表述体系．北宋邵雍（公元１０１１—１０７７年）数学学派在此基础上从研究系统演化的对称结构入手，推演出系统自相似倍周期自发演化普适理论即观物论．基于这一理论本文找到了具有普适意义的几个无量纲物理学经验常数的统一解释，从而有希望成为沟通东西方两大思考体系的契机：（Ⅰ）通过与混沌理论对比初步研究，找到了与费根包姆常数相应的定义和取值．（Ⅱ）据现时宇宙的时空特性导出相应的测量模型和特征值１３７．０３５９８８２２，此即精细结构常数的一种解释．（Ⅲ）据极早期宇宙时空特性导出相应的测量模型和特征值４１．０１１２６８，此即ＳＵ（５）耦合常数的一种解释．（Ⅳ）在观物论关于太极图与宇宙的讨论中，表征能量、作用力等物象的阳仪的最大相对值２．６５２８８６１０３９，表征时间、静态结构等物象的阴仪的最大相对值为６．６３２２１０３９。
Chinese traditional Xiangshuxue, originating from the accumulation of the long time investigation into the complex phenomena such as Pattern of Clouds and Lighting, is a symbolic system of Oriental organic nature philosophy. Based on the theory, Shaoyong (A.D. 1011 A.D.1077) Maths School (of the North Song Dynasty) started with the symmetry of nature systems and put forward a universal theory about nature system spontaneous self similar period doubling evolution named Guangwulun. This paper attemps to find some internal relationships between the universal theory and Chaos and to 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 an amalgamation of the traditional nature philosophy of the East and the West: (Ⅰ) The definition of Feigenbaum's constants has been found in Guangwulun. (Ⅱ) Based on the space time characteristics of the present day cosmos a measurement model has been drawn and the eigenvalue has been set at 137.03598822, an explanation of the reciprocal of fine structure constant. (Ⅲ) Based on the space time characteristics of the primitive cosmos, a measurement model has been drawn and the eigenvalue has been set at 41.0112683, an explanation of SU(5) coupling constant. (Ⅳ) In the discussion of the cosmos, based on figure of Taiji of Guangwulun, the maximum relative value of Yangyi which is a symbol of a dynamic object or conception such as energy, action force etc, is set at 2.652886*10 39 . The maximum relative value of Yinyi which is a symbol of a static object or conception such as time, structure etc, is set at 6.6322*10 39 , thus offering an explanation of Diracal constants 10 39 .
关键词
数学学派
无量纲常数
早期宇宙
中国
北宋
邵雍
Pattern of Clouds and Lighting, Guangwulun, chaos, period doubling, Feigenbaum's constants, reciprocal of fine structure constant, SU(5) coupling constant, Diracal constants
