时空旋量结构导致的旋量扩展类洛伦兹力方程
Spinor extended Lorentz-force like equations as consequence of a spinorial structure of space-time
摘要：
如前所述，洛伦兹力类型的特殊相对论动力学方程可以看作是一系列时空相关的无穷小洛仑兹助推和旋转的结果。这一认识表明，类洛伦兹力方程在物理学中具有基本意义。我们展示了如何从SL（2，C）的无穷小元素应用到单个旋量，这在这里被认为是比四向量更基本的对象，开始spinorially获得这个结果。这样我们得到了一组新的动力学旋量方程，它将Minkowski时空中的扩展的类洛伦兹力方程引入其中，并从几何上得到了电磁场张量的旋量形式。扩展的一词指的是一些额外的自由度的动力学，这些自由度可能与内禀自旋有关，也就是说，与三个类空相互正交的四维矢量的动力学有关，所有这些矢量都与所考虑的物体的线性四维动量正交，最终，在粒子的固有框架中。与SU（2）的生成元相同。
英文摘要：
As previously shown, the special relativistic dynamical equation of the Lorentz force type can be regarded as a consequence of a succession of space-time dependent infinitesimal Lorentz boosts and rotations. This insight indicate that the Lorentz-Force-like equation has a fundamental meaning in physics. We show how this result may be spinorially obtained starting out out from the application of an infinitesimal element of SL(2,C) to the individual spinors, which are regarded here as being more fundamental objects than four-vectors. In this way we get a set of new dynamical spinor equations inducing the extended Lorentz-Force-like equation in the Minkowski space-time and geometrically obtain the spinor form of the electromagnetic field tensor. The term extended refers to the dynamics of some additional degrees of freedom that may be associated with the intrinsic spin, namely, with the dynamics of three spacelike mutually orthogonal four-vectors, all of them orthogonal to the linear four-momentum of the object under consideration that finally, in the particle's proper frame. are identified with the generators of SU(2).
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