The Intrinsic Topology of the Electron in the SRE Framework

{"This":[0],"paper":[1,196],"consolidates":[2],"a":[3,19,38,100,107,111,139,151,160],"body":[4],"of":[5,11,81,93,163],"results":[6],"on":[7],"the":[8,12,15,51,54,79,82,94,116,123,131,146,173,179,185,204],"intrinsic":[9],"topology":[10],"electron":[13,29,55],"within":[14],"SRE":[16,208],"framework":[17],"into":[18],"standalone":[20],"account.":[21],"There":[22],"are":[23],"three":[24],"core":[25],"claims.":[26],"(1)":[27],"The":[28,70,120,195],"(like":[30],"light)":[31],"has":[32],"Möbius-band":[33],"topology,":[34],"whose":[35],"essence":[36],"is":[37,85,99,135,172,177],"$\\\\mathbb{Z}_2$":[39,95,147,213,232],"double":[40],"cover:":[41],"closure":[42],"requires":[43,56],"$4\\\\pi$":[44],"($=2\\\\times2\\\\pi$)":[45],"rather":[46],"than":[47],"$2\\\\pi$,":[48],"isomorphic":[49],"to":[50,60,62],"fact":[52],"that":[53,76,176],"$2N$":[57,217],"reciprocal":[58],"measurements":[59],"return":[61],"its":[63,200],"initial":[64],"symmetric":[65],"state":[66],"(https://doi.org/10.5281/zenodo.22162514":[67],"L335).":[68],"(2)":[69],"bare":[71],"coupling":[72,91],"$\\\\delta":[73,221],"=":[74,222],"4.347\\\\times10^{-5}$":[75,223],"appears":[77],"in":[78,115],"derivation":[80],"fine-structure":[83],"constant":[84],"precisely":[86],"identified":[87],"as":[88,138],"**the":[89],"emergent":[90],"strength":[92],"holonomy":[96,225],"channel**:":[97],"it":[98],"metric":[101],"parameter":[102],"(a":[103],"continuous":[104],"coupling),":[105],"neither":[106],"topological":[108],"invariant":[109],"nor":[110],"discrete":[112],"classification":[113],"label":[114],"Standard":[117],"Model.":[118],"(3)":[119],"\\"coherence\\"":[121],"between":[122],"electron's":[124],"deep":[125],"internal":[126],"logic":[127],"depth":[128],"$N\\\\approx10^{23}$":[129,228],"and":[130,166,184,203],"60-node":[132],"phase":[133],"space":[134],"best":[136],"understood":[137],"**structural":[140],"/":[141],"homomorphic":[142],"projection**":[143],"(they":[144],"share":[145],"double-cover":[148],"algebra),":[149],"**not**":[150],"continuum-limit":[152],"sampling":[153],"(gap":[154],"$\\\\propto":[155,234],"n^{-2}\\\\to0$).":[156],"We":[157],"further":[158],"provide":[159],"dual-uniqueness":[161],"proof":[162],"*why":[164],"60":[165,171,230,236],"not":[167],"some":[168],"other":[169],"number*:":[170],"unique":[174,180,186],"integer":[175],"simultaneously":[178],"spectral":[181],"crossing":[182],"point":[183],"structural":[187],"phase-space":[188],"dimension.":[189],"All":[190],"criteria":[191],"pass":[192],"numerical":[193],"verification.":[194],"also":[197],"honestly":[198],"declares":[199],"heuristic":[201],"nature":[202],"open":[205],"endpoints.":[206],"本文将":[207],"体系中关于电子内禀拓扑的一系列成果整合为独立论文。核心主张有三:(1)":[209],"电子(与光)同为":[210],"Möbius":[211],"带拓扑,其本质是":[212],"双覆盖——闭合需":[214],"$4\\\\pi$($=2\\\\times2\\\\pi$)而非":[215],"$2\\\\pi$,与\\"电子需":[216],"次互测才恢复初始对称态\\"(https://doi.org/10.5281/zenodo.22162514":[218],"L335)同构;(2)":[219],"精细结构常数推导中出现的裸耦合":[220],"被精确定位为**$\\\\mathbb{Z}_2$":[224],"通道的涌现耦合强度**:它是度量参数(连续耦合),既非拓扑不变量,也非标准模型中的离散分类标签;(3)":[226],"电子深内禀的逻辑深度":[227],"与":[229],"节点相空间的\\"相干\\"是**结构/同态意义上的投影**(共享":[231],"双覆盖代数),**不是**连续极限采样(gap":[233],"n^{-2}\\\\to0$)。进一步给出\\"为什么是":[235],"而不是别的数\\"的双重唯一性证明:60":[237],"是\\"谱学唯一交叉点":[238],"$\\\\cap$":[239],"结构唯一相空间维\\"的唯一整数。全部判据通过数值验证,本文同时诚实声明其启发式性质与未闭合处。":[240]}

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22783909
Primary Topic
Quantum and Classical Electrodynamics
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

The Intrinsic Topology of the Electron in the SRE Framework

Yue Lu
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
article

The Intrinsic Topology of the Electron in the SRE Framework

Yue Lu
article en

Abstract

This paper consolidates a body of results on the intrinsic topology of the electron within the SRE framework into a standalone account. There are three core claims. (1) The electron (like light) has Möbius-band topology, whose essence is a $\mathbb{Z}_2$ double cover: closure requires $4\pi$ ($=2\times2\pi$) rather than $2\pi$, isomorphic to the fact that the electron requires $2N$ reciprocal measurements to return to its initial symmetric state (https://doi.org/10.5281/zenodo.22162514 L335). (2) The bare coupling $\delta = 4.347\times10^{-5}$ that appears in the derivation of the fine-structure constant is precisely identified as **the emergent coupling strength of the $\mathbb{Z}_2$ holonomy channel**: it is a metric parameter (a continuous coupling), neither a topological invariant nor a discrete classification label in the Standard Model. (3) The "coherence" between the electron's deep internal logic depth $N\approx10^{23}$ and the 60-node phase space is best understood as a **structural / homomorphic projection** (they share the $\mathbb{Z}_2$ double-cover algebra), **not** a continuum-limit sampling (gap $\propto n^{-2}\to0$). We further provide a dual-uniqueness proof of *why 60 and not some other number*: 60 is the unique integer that is simultaneously the unique spectral crossing point and the unique structural phase-space dimension. All criteria pass numerical verification. The paper also honestly declares its heuristic nature and the open endpoints. 本文将 SRE 体系中关于电子内禀拓扑的一系列成果整合为独立论文。核心主张有三:(1) 电子(与光)同为 Möbius 带拓扑,其本质是 $\mathbb{Z}_2$ 双覆盖——闭合需 $4\pi$($=2\times2\pi$)而非 $2\pi$,与"电子需 $2N$ 次互测才恢复初始对称态"(https://doi.org/10.5281/zenodo.22162514 L335)同构;(2) 精细结构常数推导中出现的裸耦合 $\delta = 4.347\times10^{-5}$ 被精确定位为**$\mathbb{Z}_2$ holonomy 通道的涌现耦合强度**:它是度量参数(连续耦合),既非拓扑不变量,也非标准模型中的离散分类标签;(3) 电子深内禀的逻辑深度 $N\approx10^{23}$ 与 60 节点相空间的"相干"是**结构/同态意义上的投影**(共享 $\mathbb{Z}_2$ 双覆盖代数),**不是**连续极限采样(gap $\propto n^{-2}\to0$)。进一步给出"为什么是 60 而不是别的数"的双重唯一性证明:60 是"谱学唯一交叉点 $\cap$ 结构唯一相空间维"的唯一整数。全部判据通过数值验证,本文同时诚实声明其启发式性质与未闭合处。

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 13%
Quantum and Classical Electrodynamics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.