A Complete Characterization of the Electron in the SRE Framework: From the Binary Self-Organizing Network to Molecular Computation

In the Status–Relational Entropy (SRE) theoretical framework, the electron is not a point particle presupposed in space, but the unique, stable, noise-robust emergent fixed point obtained by the binary self-organizing network on the coherent core under the action of the sparsification operator R. Its basal structure is the three-dimensional cube Q₃ (8 vertices, 12 edges, first Betti number 5, i.e., 12×5 = 60). This study starts from the Fork A axioms, completes the argument through four stages: P0 (uniqueness), R2 (convergence), and R3 (robustness), and numerically reproduces the results with a 10/10 pass rate via the unified validation program. All proofs and validations hold only within the SRE model, representing the model's internal self-consistency, and do not automatically equate to real physical facts. Real-world physical and chemical phenomena must be examined by external means (DFT, molecular dynamics, experimental observation) separately. This study also presents transferable routines for molecular computation, including the coherence index MCI, basal structure detection, and relation-inverted geometry, providing a new perspective for molecular topological analysis.在状态-关系熵(SRE)理论框架中,电子并非预设于空间的点粒子,而是二元自组织网络在相干核之上经稀疏算子R作用后收敛得到的唯一、稳定且抗噪的涌现不动点,其本体结构为三维立方体Q₃(顶点数8、棱数12、第一贝蒂数5,即12×5=60)。本研究从Fork A公理出发,经P0唯一性、R2收敛性、R3鲁棒性四个阶段完成论证,并通过统一验证程序以10/10的通过率完成数值复现。所有证明与验证仅在SRE模型内部成立,代表模型内部的自洽性,不自动等同于现实物理事实,现实物理与化学现象须经外部手段(DFT、分子动力学、实验观测)另行检验。本研究同时给出可迁移至分子计算的例程,包括相干指数MCI、本体结构识别及关系反演几何等方法,为分子拓扑分析提供了新的视角。