- 學位論文
時空撓率理論中的轉動與自旋
The spin and rotation in the space-time torsion theory
摘要
在研究時空中粒子的軌跡線匯的渦度向量與陀螺儀進動的關係中, 我們計算了在 Godel, Kerr, Lewis, Schwarzschild, 以及 Minkowski 度規中的渦度向量, 我們在每個時空中找出了特定的觀測者, 其渦度向量即為該時空中相應的陀螺儀進動角速度.此外, 在考慮該時空中撓率的情況下, 適當的選擇與撓率成正比的常數會使得觀測者的渦度大小不變但方向相反. 這個現象也同時發生在由Mathisson-Papapetrou 方程近似得到的 gravitational Stern-Gerlach force 中, 非常類似於量子力學中自旋的正負螺旋性質. 暗示了在古典的框架下, 考慮時空撓率將會出現類比於量子自旋的特性.
並列摘要
In investigating the relationship between vorticity and gyroscopic precession, we calculate the vorticity vector in Godel, Kerr, Lewis, Schwarzschild, and Minkowski metrics and find that the vorticity vector of the specific observers is the angular velocity of the gyroscopic precession. Furthermore, when space-time torsion is included, the vorticity and spin-curvature force change sign. This result is very similar to the behavior of the positive and negative helicities of quantum spin in the Stern-Gerlach force. It implies that the inclusion of torsion will lead to an analogous property of quantum spin even in classical treatment.
參考文獻
延伸閱讀
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