| 1. | The central theme of kaluza - klein theory remains : the physical laws that we see depend on the geometry of hidden extra dimensions
卡鲁扎?克莱恩理论的中心思想仍保留著：我们可见的物理定律取决于隐藏的额外维度之几何特性。 |
| 2. | In order to unify gravitation with other interactions , kaluza and klein extended einstein " s general relativity to higher dimensions
Kaluza - klein理论属于高维引力理论范畴，它是为统一引力场和其它场而对einstein广义相对论的推广。 |
| 3. | In both the kaluza - klein conjecture and string theory , the laws of physics that we see are controlled by the shape and size of additional microscopic dimensions
在卡鲁扎?克莱恩的推测与弦论中，附加的微观维度的形状与大小，支配了我们所知的物理定律。 |
| 4. | Altogether the string picture looks more complicated than kaluza - klein theory , but the underlying mathematical structure is actually more unified and complete
综合而言，弦的图像看似比卡鲁扎?克莱恩理论来得复杂许多，但事实上弦论所本的数学结构更一致而完备。 |
| 5. | Kaluza and klein put forth their concept of a fifth dimension in the early part of the 20th century , when scientists knew of two forces ? electromagnetism and gravity
在20世纪初期，当科学家只知道电磁与重力两种作用力时，卡鲁扎与克莱恩就提出了他们的第五维度观念。 |
| 6. | Kaluza and klein noticed that einstein ' s geometric theory of gravity might provide this connection if an additional spatial dimension existed , making spacetime five - dimensional
卡鲁扎和克莱恩注意到，如果有一个额外的空间维度存在，则时空变成五个维度，那麽爱因斯坦关于重力的几何理论便能提供这种关联。 |
| 7. | On the basis of reviewing kaluza - klein theory , this dissertation emphasizes on discussing a five - dimensional ( 5d ) time - dependent and spherically symmetric exact solution presented by liu and wesson in 2001
本文在回顾kaluza - klein理论的基础上，重点讨论了由liu和wesson提出的一个5维含时的球对称引力场方程的严格解。 |
| 8. | The kaluza - klein idea has been resurrected and extended as a feature of string theory , a promising framework for the unification of quantum mechanics , general relativity and particle physics
卡鲁扎?克莱恩的观念被重新提起，并且被扩充为弦论的特色之一，而弦论是个非常有希望能统一量子力学、广义相对论与粒子物理的架构。 |
| 9. | He was particularly attracted to work by german theodor kaluza and swede oskar klein , which proposed that whereas gravity reflects the shape of the four familiar spacetime dimensions , electromagnetism arises from the geometry of an additional fifth dimension that is too small to see directly ( at least so far )
他特别注意到德国人卡鲁扎与瑞典人克莱恩的研究，他们倡议重力可反映出熟悉的四个时空维度，而起源于额外第五维度几何的电磁力，则因为太过渺小，至少到目前为止无法直接看到。 |
