A Minimal Arc-Geometric Reconstruction of Single-Electron Double-Slit Interference: From the R = DA Constraint to de Broglie Wavelength and Projection Density

Arcman

新预印本发布于 Zenodo：

A Minimal Arc-Geometric Reconstruction of Single-Electron Double-Slit Interference: From the R = DA Constraint to de Broglie Wavelength and Projection Density

DOI: https://doi.org/10.5281/zenodo.20301432

本文尝试在传统数学物理范式内，对单电子双缝干涉作一种最小弧几何重构。文章从弧几何约束 R = DA 出发，经由相位闭合与作用量量子化，重构 de Broglie 关系 lambdaA = h/p 与双缝条件 d sin(theta) = m lambdaA。

本文并不以否定标准量子力学的经验成功为目标，而是提出一种可能的几何本体论解释：Born 密度可被理解为高维弧轨迹在低维探测界面上的投影密度。文中还给出了拓扑摩擦、自消干以及观测坍缩去神秘化的形式化表达。

理不要吵闹。几何自会说话。


New preprint released on Zenodo:

A Minimal Arc-Geometric Reconstruction of Single-Electron Double-Slit Interference: From the R = DA Constraint to de Broglie Wavelength and Projection Density

DOI: https://doi.org/10.5281/zenodo.20301432

This paper presents a minimal arc-geometric reconstruction of single-electron double-slit interference within the framework of Arc Theory. Starting from the constraint R = DA, together with phase closure and action quantization, it reconstructs the de Broglie relation lambdaA = h/p and the double-slit condition d sin(theta) = m lambdaA.

The work does not aim to reject the empirical success of standard quantum mechanics. Rather, it explores whether the Born density may be interpreted as the observable projection density of an underlying high-dimensional arc trajectory. The paper also introduces a quantitative formulation of topological friction, self-decoherence, and measurement-induced arc localization.

Geometry need not shout. It only needs to close.


英文预印本已发布于 Zenodo：

A Minimal Arc-Geometric Reconstruction of Single-Electron Double-Slit Interference

DOI: https://doi.org/10.5281/zenodo.20301432

本文以 R = DA 为弧几何约束，重构 de Broglie 波长、双缝干涉条件与 Born 投影密度，并进一步给出拓扑摩擦、自消干和观测坍缩去神秘化的形式化表达。

不争概率之名，直问几何之源。
大道至简，万物于弧。