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作为现代物理学基础的相对论和量子论以及各种尚在建立的统一场理论中,(时间-空间)复合体大多采用四维黎曼时空,可用ds~2=■g_(Bv)dx~μdx~v来描写,其中g_(μv)是几何度规,同时也描写引力场。在超对称理论中有人用(x_μ,■_α)8维时-空流形来建立超场的超引力理论,企图由之建立统一场论。在随机格规范场理论(RLGFT)中有人企图在随机格点群时-空拓扑的基础上来建立统一场论。还有人企图在量子化时空的整数群拓扑的基础上建立统一场论。本文从信息论控制论观点提出,并矢群时-空拓扑的一些优点及一些实验予言,并从理论物理时-空连续性与实验物理的观测断续性的严重矛盾出发,提出从模糊(FUZZY)群模糊拓扑的时-空建立统一场论的探索性思路。希望物理学界同行中有兴趣者共同探求通往未来物理学(模糊物理学)的新大陆的航线。
As the basis of modern physics, the theory of relativity and quantum theory and various unified field theories that are still being established, the (time-space) complex mostly adopts the four-dimensional Riemannian space-time and can be expressed in the form of ds ~ 2 = ■ g Bv dx ~ v to describe, where g_ (μv) is the geometric rules, but also describes the gravitational field. In the theory of supersymmetry, some people use the (x_μ, ■ _α) 8-dimensional time-space manifold to establish the super-field theory of super-gravitation in an attempt to establish a unified field theory. In random grid theory field theory (RLGFT) someone attempts to establish a unified field theory based on the random lattice group time-space topology. Others attempt to establish a unified field theory based on the quantum group topology of quantum space-time. In this paper, we present some advantages and some experimental remarks about the time-space topology of the vexed group from the point of view of the theory of information theory. From the serious contradiction between the theoretical time-space continuity and the experimental discontinuity of the experimental physics, Exploratory Thinking of Establishing Unified Field Theory on Time - Space of Group Fuzzy Topology. It is hoped that peers in the physics community will jointly seek routes to the new continent of future physics (fuzzy physics).