论文标题
一般相对论的旋转和纠缠
Spin and Entanglement in General Relativity
论文作者
论文摘要
在上一篇论文中，我们已经表明，Stueckelberg-Horwitz-Piron [SHP]理论的经典和量子相对论动力学可以嵌入一般相对论（GR）中。我们在这里简要回顾了SHP理论，尤其是在相对论量子理论框架中旋转理论的表述。我们在这里展示了如何使用亚伯拉罕，马斯登和拉蒂的定理嵌入相对论自旋的量子理论，以及通过构造局部诱导的表示形式，将其显式推导到GR的框架中。还讨论了与Fock和Ivanenko的工作的关系。我们表明，在重力场中，在支持波函数的支持中，有旋转分布的高度复杂结构。然后，我们讨论两个车身系统旋转的纠缠。
In a previous paper, we have shown that the classical and quantum relativistic dynamics of the Stueckelberg-Horwitz-Piron [SHP] theory can be embedded in general relativity (GR). We briefly review the SHP theory here, and, in particular, the formulation of the theory of spin in the framework of relativistic quantum theory. We show here how the quantum theory of relativistic spin can be embedded, using a theorem of Abraham, Marsden and Ratiu, and also explicit derivation, into the framework of GR by constructing a local induced representation. The relation to the work of Fock and Ivanenko is also discussed. We show that in a gravitational field there is s highly complex structure for the spin distribution in the support of the wave function. We then discuss entanglement for the spins of a two body system.
