PLI Technical Note: Electromagnetic Emergence from Planar Element Topology to Magnetic Flux Quantization

Abstract

This technical note presents a candidate derivation of electromagnetic fields and magnetic flux quantization within the Pure Locking Inference framework. Starting from the candidate assumption A3 that the minimal readable unit is a Planck-area element, the note shows that each area element has a closed boundary. A relational locking phase along this boundary gives an integer winding number. If this locking phase is identified with the electromagnetic phase, the winding number corresponds to quantized magnetic flux. The note also includes candidate discussions of electric fields, lattice gauge structure, local phase invariance, and a possible route to the Higgs mechanism. Several steps remain assumptions, not derivations. These are clearly marked in the boundary statement. 本文是纯锁定推理框架下的一份候选推导技术笔记,主题是从面元拓扑到磁通量子化的电磁涌现。 我们从候选假设 A3 出发,认为锁定网络的最小可读单元是普朗克面积面元。每个面元都有闭合边界,定义在边界上的关系锁定相位必须满足周期条件,因此自然给出整数环绕数。 如果将该锁定相位识别为电磁相位,那么环绕数就对应量子化磁通: Φ = n Φ₀ 随时间变化的锁定相位对应候选电场。相邻面元之间需要连接变量,由此产生格点规范结构。局部相位不变性可能从面元的局域取向冗余中涌现,这一点尚未严格证明。 在连续极限下,候选作用量具有标量电动力学形式,可能为希格斯机制提供自然途径。 本笔记明确区分已经推导出的拓扑量子化形式,与尚未证明的候选步骤。Φ₀ 的数值、连续极限、锁定相位与电磁相位的识别,目前仍是开放问题。