Discretization and Interaction of Fields via the Classical Kaluza-Klein Theory

• 作者: Claude Gauthier Doris LaChance
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: KALUZA-KLEIN Theories Geometric QUANTIZATION INTERACTION of FIELDS
• 年，卷（期）: 2013,（12）
• 页码范围: 1608-1613
• 页数: 6页
• 分类号: O1

摘要

We show how the metric of a five-dimensional hyperspace-time can be used to model the quantum nature of electromagnetic interactions. The space-time neighborhood of the point where such an interaction takes place bends according to the curl and the derivative of the local electromagnetic four-potential, both calculated in the direction of the latter. In this geometric setting, the presence of a non-gravitational field is needed to induce the discretization of any gravitational field. We also exploit two variants of the classical Kaluza-Klein five-dimensional theory to obtain coupled generalizations of Einstein’s and Maxwell’s equations. The first variant involves an unspecified scalar field that may be related to the inflaton. The equations of the second variant show a direct interdependency of gravitation and electromagnetism that would emerge or be activated through the production of electromagnetic waves.