SPHERICALLY SYMMETRIC SOLUTION FOR TORSION AND THE DIRAC EQUATION IN 5D SPACETIME
SPHERICALLY SYMMETRIC SOLUTION FOR TORSION AND THE DIRAC EQUATION IN 5D SPACETIME
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DOI：
10.1142/s0218271898000590
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发表时间：
1998-06
影响因子：
2.2
通讯作者：
Dzhunushaliev V.D
中科院分区：
文献类型：
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作者：
Dzhunushaliev V.D
考虑了5D时空中的挠率。在这种情况下，引力由5D度规和挠率定义。证明了挠率与旋量场有关。在这种情况下，狄拉克方程变成了非线性海森堡方程。结果表明，该方程有一个离散的解谱，每个解在整个空间上是正则的，并具有有限的能量。每一个解都集中在普朗克区域，因此我们可以说，在时空泡沫的气泡形成中，挠率应该在量子引力中起重要作用。根据挠率与爱因斯坦-嘉当引力中经典旋量场之间的代数关系，将旋量场的几何解释视为挠率的“平方根”。
Torsion in a 5D spacetime is considered. In this case, gravitation is defined by the 5D metric and the torsion. It is conjectured that torsion is connected with a spinor field. In this case, Dirac's equation becomes the nonlinear Heisenberg equation. It is shown that this equation has a discrete spectrum of solutions with each solution being regular on the whole space and having finite energy. Every solution is concentrated on the Planck region and hence we can say that torsion should play an important role in quantum gravity in the formation of bubbles of spacetime foam. On the basis of the algebraic relation between torsion and the classical spinor field in Einstein–Cartan gravity, the geometrical interpretation of the spinor field is considered as "the square root" of torsion.