亚光速和超光速映射理论

本文首先从一般洛仑兹（Ｌｏｒｅｎｔｚ）变换引入空时环，反过来用它来研究慢子和快子运动学和动力学．为了建立慢子和快子统一理论，提出共存原理．在空时变换中讨论了三种情况：（１）慢子之间空时变换。（２）快子之间空时变换，（３）慢子和快子之间空时变换．在动力学中证明了所有快子无静止质量，代替它的作用是伪静止动量Ｐ　，并指出高能加速器中横向动量是快子作用的结果．     

THE DYNAMICS FOR THE PRIME PRINCIPLECLASSICAL AND QUANTUM CHAOS

In this paper we study the dynamics for the prime principle. The p-nonlinear equations are derived from the prime principle. It defines the p-chaotic functions and studies the local solutions and global stability for the p-nonlinear equations. It suggests a new method for studying the nonlinear equations that studying the stability and instability of the p-nonlinear equations is transformed into studying the stability and instability for the nonliner terms of de~A/dt in the chaotic equations.     

THE APPLICATION OF STABLE GROUPS TO BIOLOGICAL STRUCTURES

The properties of the stable group theory are discussed. The mathematical models of the insect legs, a pair of hands, and human chromosomes are established using stable group theory. The two postulates: the prime-number principle and the symmetric principle, and a new evolution theory in the biology are suggested. The brain structures and the structures of the nervous system can be studied using above two principles.     

A MATHEMATICAL MODEL FOR PARTICLE CLASSIFICATION

A mathematical model for the particle classification is suggested and a particle table is made based on the synthesis between experimental particle decay mode and its mathematical decay mode. The places of the intermediate vector bosons are found in it, and a last measurable particle is 1727400 Mev.