Abstract

Following Carter, Israel, López et al., we consider the over-rotating Kerr–Newman (KN) black hole solutions as classical gravitating electron models, formed by a relativistic ring string. We show that the Appell transformation establishes an unambiguous correspondence between a KN ring string written in Kerr–Schild coordinates and a point particle of quantum theory interacting with gravity on the Compton scale in agreement with QED. The Appell transformation doubles the Israel and López electron models, generalizing the classical ring string state to a quantum system forming the bare electron interacting with gravitating electron-positron vacuum. In the regularized version of the KN solution, the vector potential creates two quantum Wilson loops interacting with gravity, and the corresponding ring string currents create a magnetically bound monopole-antimonopole pair, establishing connections between the classical ring string solutions of the Einstein–Maxwell equations and the formalism of QED.

中文翻译：

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阿佩尔的通信将引力与量子理论统一起来

摘要

继 Carter、Israel、López 等人之后，我们将过度旋转的 Kerr-Newman (KN) 黑洞解视为由相对论环弦形成的经典引力电子模型。我们表明，Appell 变换在 Kerr-Schild 坐标中写入的 KN 环弦与与 QED 一致的康普顿尺度上的引力相互作用的量子理论点粒子之间建立了明确的对应关系。Appell 变换将 Israel 和 López 电子模型加倍，将经典环弦状态推广到形成裸电子与引力电子-正电子真空相互作用的量子系统。在 KN 解的正则化版本中，矢量势创建了两个与引力相互作用的量子威尔逊环，