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中文摘要：
在粒子物理中探讨了四元数、符号动力学等新的数学方法,几种可能应用于振荡的数学方法,及与时间有关的粒子理论;讨论了非线性理论和相应的定性分析理论的结果;研究了粒子的拓扑模型和分形模型;最后提出弱相互作用可能相应于Lobachevsky几何.
英文摘要：
Some new mathematical methods, for example, quaternion, symbolic dynamics, theories on oscillation and particle with time, etc., were searched. Next, the nonlinear theories and corresponding results of the qualitative analysis theory were discussed. Thirdly, the topological model and fractal model on particle were investigated. Finally, it was proposed that the weak interaction corresponds possibly to Lobacbevsky geometry.
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