暗场确实存在于Weyl几何中

F. Sabetghadam
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引用次数: 0

摘要

利用(伪)黎曼流形的正切束和余切束的同时仿射变换,得到了广义Weyl可积几何(GWIG)。与经典的Weyl可积几何(CWIG)相比,这里有两个推广:与任意暗场的相互作用,以及各向异性膨胀。这意味着CWIG已经与{\ It null}暗域进行了交互。一些经典的数学和物理问题可以在GWIG中解决。例如,通过推导麦克斯韦方程组及其子集,GWIG上的守恒方程、双曲方程和椭圆方程;我们用任意的暗场来施加相互作用。此外,利用类似于彭罗斯共形无穷的概念,可以在这些方程上正则地施加边界条件。作为一个主要的例子,我们对椭圆方程做了这个,我们得到了一个无奇点的势理论。然后我们用这个势理论建立了点带电粒子的非奇异模型。它解决了经典真空态能量无限的难题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dark Fields do Exist in Weyl Geometry
A generalized Weyl integrable geometry (GWIG) is obtained from simultaneous affine transformations of the tangent and cotangent bundles of a (pseudo)-Riemannian manifold. In comparison with the classical Weyl integrable geometry (CWIG), there are two generalizations here: interactions with an arbitrary dark field, and, anisotropic dilation. It means that CWIG already has interactions with a {\it null} dark field. Some classical mathematics and physics problems may be addressed in GWIG. For example, by derivation of Maxwell's equations and its sub-sets, the conservation, hyperbolic, and elliptic equations on GWIG; we imposed interactions with arbitrary dark fields. Moreover, by using a notion analogous to Penrose conformal infinity, one can impose boundary conditions canonically on these equations. As a prime example, we did it for the elliptic equation, where we obtained a singularity-free potential theory. Then we used this potential theory in the construction of a non-singular model for a point charged particle. It solves the difficulty of infinite energy of the classical vacuum state.
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