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Mathematical Imprints in Matter: Precision Derivation of Electron Mass in Relational Interference Cosmology

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Main Author:	yishenxin, yishenfohao
Format:	Recurso digital
Language:	Buriat, China
Published:	Zenodo 2026
Subjects:	Relational Interference Cosmology mass origin electron mass π-closure law topological defects mathematical imperfection 关系干涉宇宙论,质量起源,电子质量,π-闭合律,拓扑缺陷,数学不完美性 electron mass, fine-structure constant, Penning trap 电子质量量子电动力学基本物理常数粒子物理学
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_version_	1866901903879700480
author	yishenxin, yishenfohao
author_facet	yishenxin, yishenfohao
contents	<h2><strong>Abstract</strong></h2> <p>In the framework of Relational Interference Cosmology (RIC), elementary particles are interpreted as topological defects in an overdetermined π-closed amplitude network. This paper demonstrates that the mass of the lightest charged lepton—the electron—directly originates from the most fundamental geometric imperfection: the irrationality of the circular constant π. Through systematic mathematical derivation, we establish a complete chain from network topological defects to a precise mass formula, obtaining a parameter-free expression for the electron mass:</p> <p><span><span><span>mec2v=∣π−355113∣⋅exp⁡(π2)⋅2cos⁡(π5)</span><span><span><span><span><span><span><span><span>v</span><span>m</span><span><span><span>e</span></span><span></span></span><span>c</span><span><span><span><span>2</span></span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span></span></span></span></span></span><span>π</span><span>−</span><span><span><span><span><span>113355</span><span></span></span></span></span></span><span><span><span><span><span></span></span></span></span></span></span><span>⋅</span></span><span><span>exp</span><span><span><span>(</span></span><span><span><span><span><span>2<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span><span>⋅</span></span><span><span>2</span><span>cos</span><span><span><span>(</span></span><span><span><span><span><span>5<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span></span></span></span></span></p> <p>where <span><span>v=246.22 GeV</span><span><span><span>v</span><span>=</span></span><span><span>246.22</span><span> </span><span><span>GeV</span></span></span></span></span> is the electroweak energy scale. The calculated electron rest energy is <span><span>0.51100 MeV</span><span><span><span>0.51100</span><span> </span><span><span>MeV</span></span></span></span></span>, which agrees perfectly with the experimental value of <span><span>0.5109989461(31) MeV</span><span><span><span>0.5109989461</span><span>(</span><span>31</span><span>)</span><span> </span><span><span>MeV</span></span></span></span></span> to within <span><span>0.002%</span><span><span><span>0.002%</span></span></span></span> accuracy. This result provides strong quantitative evidence for relational ontology and reveals deep connections between physical constants and mathematical structures.</p> <p><strong>Keywords</strong>: Relational Interference Cosmology, mass origin, electron mass, π-closure law, topological defects, mathematical imperfection</p> <h2><strong>摘要</strong></h2> <p>在关系干涉宇宙论框架中,基本粒子被解释为超定π-闭合振幅网络的拓扑缺陷。本文证明,最轻的带电轻子——电子——的质量,直接源于最基本的几何不完美性:圆周率π的无理性。通过系统的数学推导,我们建立了从网络拓扑缺陷到精确质量公式的完整链条,得到无自由参数的电子质量表达式:</p> <p><span><span><span>mec2v=∣π−355113∣⋅exp⁡(π2)⋅2cos⁡(π5)</span><span><span><span><span><span><span><span><span>v</span><span>m</span><span><span><span>e</span></span><span></span></span><span>c</span><span><span><span><span>2</span></span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span></span></span></span></span></span><span>π</span><span>−</span><span><span><span><span><span>113355</span><span></span></span></span></span></span><span><span><span><span><span></span></span></span></span></span></span><span>⋅</span></span><span><span>exp</span><span><span><span>(</span></span><span><span><span><span><span>2<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span><span>⋅</span></span><span><span>2</span><span>cos</span><span><span><span>(</span></span><span><span><span><span><span>5<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span></span></span></span></span></p> <p>其中 <span><span>v=246.22 GeV</span><span><span><span>v</span><span>=</span></span><span><span>246.22</span><span> </span><span><span>GeV</span></span></span></span></span> 为电弱能标。计算得到电子静止能量为 <span><span>0.51100 MeV</span><span><span><span>0.51100</span><span> </span><span><span>MeV</span></span></span></span></span>,与实验值 <span><span>0.5109989461(31) MeV</span><span><span><span>0.5109989461</span><span>(</span><span>31</span><span>)</span><span> </span><span><span>MeV</span></span></span></span></span> 在 <span><span>0.002%</span><span><span><span>0.002%</span></span></span></span> 精度内完美吻合。这一结果为关系本体论提供了强有力的定量证据,并揭示了物理常数与数学结构之间的深层联系。</p> <p><strong>关键词</strong>:关系干涉宇宙论,质量起源,电子质量,π-闭合律,拓扑缺陷,数学不完美性</p>
format	Recurso digital
id	zenodo_https___doi_org_10_5281_zenodo_18291494
institution	Zenodo
language	bxu
publishDate	2026
publisher	Zenodo
record_format	zenodo
spellingShingle	Mathematical Imprints in Matter: Precision Derivation of Electron Mass in Relational Interference Cosmology yishenxin, yishenfohao Relational Interference Cosmology mass origin electron mass π-closure law topological defects mathematical imperfection 关系干涉宇宙论,质量起源,电子质量,π-闭合律,拓扑缺陷,数学不完美性 electron mass, fine-structure constant, Penning trap 电子质量量子电动力学基本物理常数粒子物理学 <h2><strong>Abstract</strong></h2> <p>In the framework of Relational Interference Cosmology (RIC), elementary particles are interpreted as topological defects in an overdetermined π-closed amplitude network. This paper demonstrates that the mass of the lightest charged lepton—the electron—directly originates from the most fundamental geometric imperfection: the irrationality of the circular constant π. Through systematic mathematical derivation, we establish a complete chain from network topological defects to a precise mass formula, obtaining a parameter-free expression for the electron mass:</p> <p><span><span><span>mec2v=∣π−355113∣⋅exp⁡(π2)⋅2cos⁡(π5)</span><span><span><span><span><span><span><span><span>v</span><span>m</span><span><span><span>e</span></span><span></span></span><span>c</span><span><span><span><span>2</span></span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span></span></span></span></span></span><span>π</span><span>−</span><span><span><span><span><span>113355</span><span></span></span></span></span></span><span><span><span><span><span></span></span></span></span></span></span><span>⋅</span></span><span><span>exp</span><span><span><span>(</span></span><span><span><span><span><span>2<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span><span>⋅</span></span><span><span>2</span><span>cos</span><span><span><span>(</span></span><span><span><span><span><span>5<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span></span></span></span></span></p> <p>where <span><span>v=246.22 GeV</span><span><span><span>v</span><span>=</span></span><span><span>246.22</span><span> </span><span><span>GeV</span></span></span></span></span> is the electroweak energy scale. The calculated electron rest energy is <span><span>0.51100 MeV</span><span><span><span>0.51100</span><span> </span><span><span>MeV</span></span></span></span></span>, which agrees perfectly with the experimental value of <span><span>0.5109989461(31) MeV</span><span><span><span>0.5109989461</span><span>(</span><span>31</span><span>)</span><span> </span><span><span>MeV</span></span></span></span></span> to within <span><span>0.002%</span><span><span><span>0.002%</span></span></span></span> accuracy. This result provides strong quantitative evidence for relational ontology and reveals deep connections between physical constants and mathematical structures.</p> <p><strong>Keywords</strong>: Relational Interference Cosmology, mass origin, electron mass, π-closure law, topological defects, mathematical imperfection</p> <h2><strong>摘要</strong></h2> <p>在关系干涉宇宙论框架中,基本粒子被解释为超定π-闭合振幅网络的拓扑缺陷。本文证明,最轻的带电轻子——电子——的质量,直接源于最基本的几何不完美性:圆周率π的无理性。通过系统的数学推导,我们建立了从网络拓扑缺陷到精确质量公式的完整链条,得到无自由参数的电子质量表达式:</p> <p><span><span><span>mec2v=∣π−355113∣⋅exp⁡(π2)⋅2cos⁡(π5)</span><span><span><span><span><span><span><span><span>v</span><span>m</span><span><span><span>e</span></span><span></span></span><span>c</span><span><span><span><span>2</span></span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span></span></span></span></span></span><span>π</span><span>−</span><span><span><span><span><span>113355</span><span></span></span></span></span></span><span><span><span><span><span></span></span></span></span></span></span><span>⋅</span></span><span><span>exp</span><span><span><span>(</span></span><span><span><span><span><span>2<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span><span>⋅</span></span><span><span>2</span><span>cos</span><span><span><span>(</span></span><span><span><span><span><span>5<span>π</span></span><span></span></span></span></span></span><span><span>)</span></span></span></span></span></span></span></p> <p>其中 <span><span>v=246.22 GeV</span><span><span><span>v</span><span>=</span></span><span><span>246.22</span><span> </span><span><span>GeV</span></span></span></span></span> 为电弱能标。计算得到电子静止能量为 <span><span>0.51100 MeV</span><span><span><span>0.51100</span><span> </span><span><span>MeV</span></span></span></span></span>,与实验值 <span><span>0.5109989461(31) MeV</span><span><span><span>0.5109989461</span><span>(</span><span>31</span><span>)</span><span> </span><span><span>MeV</span></span></span></span></span> 在 <span><span>0.002%</span><span><span><span>0.002%</span></span></span></span> 精度内完美吻合。这一结果为关系本体论提供了强有力的定量证据,并揭示了物理常数与数学结构之间的深层联系。</p> <p><strong>关键词</strong>:关系干涉宇宙论,质量起源,电子质量,π-闭合律,拓扑缺陷,数学不完美性</p>
title	Mathematical Imprints in Matter: Precision Derivation of Electron Mass in Relational Interference Cosmology
topic	Relational Interference Cosmology mass origin electron mass π-closure law topological defects mathematical imperfection 关系干涉宇宙论,质量起源,电子质量,π-闭合律,拓扑缺陷,数学不完美性 electron mass, fine-structure constant, Penning trap 电子质量量子电动力学基本物理常数粒子物理学
url	https://doi.org/10.5281/zenodo.18291494