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Temporary Singularities and Axions: An Analytic Solution that Challenges Charge Conservation
Annalen Der Physik ( IF 2.2 ) Pub Date : 2021-05-05 , DOI: 10.1002/andp.202000565
Jonathan Gratus 1, 2 , Paul Kinsler 1, 2, 3 , Martin W. McCall 3
Affiliation  

An analytic solution for electromagnetic fields interacting with an axion field that violates global charge conservation is constructed. Despite providing a specific example where “physics breaks down” at a singularity, it nevertheless demonstrates that the physical laws on the surrounding spacetime still impose constraints on what is allowed to happen. The construction is valid for a spacetime containing a temporary singularity and a Maxwellian electrodynamics containing a proposed “topological” axion field. Further, the concepts of transformation optics can be applied to show that our specific mathematical solution has a much wider applicability.

中文翻译:

临时奇点和轴子:挑战电荷守恒的分析解决方案

构建了电磁场与违反全局电荷守恒的轴子场相互作用的解析解。尽管提供了一个“物理学在奇点崩溃”的具体例子,但它仍然表明,周围时空的物理定律仍然对允许发生的事情施加了限制。该构造适用于包含临时奇点的时空和包含提议的“拓扑”轴子场的麦克斯韦电动力学。此外,可以应用变换光学的概念来表明我们特定的数学解决方案具有更广泛的适用性。
更新日期:2021-06-15
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