【摘要】 根据 Wesson-Liu诱生物质的想法 ,典型粒子的静质量可通过 Kaluza-Klein型理论约化到四维空时而获得 .通过引入附加维的动量算符并把它认同于静质量本征值算符而将 Dirac方程推广到五维共形不变形式 .当约化到四维空时时得到类似通常形式的 Dirac方程 ,粒子静质量对弯曲空时是随空时坐标变化的 .具体求解了五维宇宙学问题 ,并考察了所得的封闭宇宙模型和静态球对称引力场所得结果的合理性更多还原

【Abstract】 According to the idea of the Wesson-Liu induced-matter, the rest mass of a typical particle is obtained by reducing Kaluza-Klein type theory to 4D space. Dirac equation is generalized to 5D conformally invariant form by introducing extra-dimension momentum operator identified with the rest mass eigenvalue operator. The normal Dirac equation is gained by reducing the generalization to four-dimension space. The rest mass of a particle in curve space vary with the space and time coordinates. A class of exact cosmological solution of the apparently empty 5D Kaluza-Klein field equations is derived . The conclusion is checked reasonable for the static spherically symmetric gravity and the close cosmological model.更多还原