芬斯勒时空中的宇宙演化

THE EVOLUTION OF THE UNIVERSE ON THE FINSLER SPACETIME

物理学实质性的进展 ,往往是与时空结构的变化密切相关的 ;反之也可猜测 :新的时空几何结构必应导致新的物理发展 .近 10多年来 ,芬斯勒几何逐渐引起数学家的兴趣 ,而它将对物理学的发展起到什么作用呢 ?

According to the different properties between the Riemann metrics and the Finsler metrics, it is discussed that the spacetime will have the catastrophe nature on the Finler spacetime metrics. In relation to some interesting subjects in the process of evolution of the universe, the nature of Finsler spacetime d s 4 and its cosmological implications are discussed. It is shown that the natures of the universal evolution could be attributed to the geometric features of the Finsler spacetime.