摘要
从可压缩连续介质角度探讨超光速波动现象的理论基础。给出一种可以在空间二级精度上兼容相对论然而又允许超光速介质运动存在的数学描述,它可以解释A.Sommerfeld提出的粒子在超过光速后减小能量反而加速,吸取能量反而减速的现象。证明了无粘不可压缩流动的Navier-stokes方程可以改写成和电磁场方程相同的表达形式,并把这种关系延拓到非牛顿流体。借助用数学推理系统,证明洛仑兹(Lorentz)时空变换就是一种波速为无穷的波动方程到波速为有限值的中间变换。洛伦兹时空加不可压缩的方程组就等于伽里略时空里面的可压缩方程组。并给出可压缩流动的广义相对论线元。
The superlight speed research could be developed from the aspect of continual medium, and a mathematics description of medium is deduced. This description allows the existence of superlight speed phenomena, but is also compatible with relativity theory. From the similarity between Navier-Stokes equation and Maxwell equation,and depending on the relax effect of non-Newtonian viscose fluid, the last missing equation is constructed. Through deductions concept is given to consider the Maxwell equation and NS equation as similar object but in different viewpoints. On this background discussed,the equivalence between compressible wave equation and incompressible wave equation is discussed with Lorentz transformation. The relation of medium and energy of relativity theory is given by the new theory, and the rule element of general relativity in compressible flow is also given. With this concept, the experiment result of nonzero mass quantity of neutuino can be reasonably explained.
出处
《北京石油化工学院学报》
2002年第4期27-32,共6页
Journal of Beijing Institute of Petrochemical Technology