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Two Fundamental Constants from First Principles: μ=1836 and α⁻¹=137 in ODTOE

Anton Pankratov(independent)·
proton-electron mass ratiofine-structure constant1836137strange loopfixed pointπφ

Abstract

Аннотация

RU

Самореференциальные формулы для μ=mp/me и α⁻¹, выведенные из π, φ, целых чисел без свободных параметров. Формула для μ содержит четыре слоя. Результат: μ=1836.15267. Формула для α⁻¹ содержит три слоя. Результат: α⁻¹=137.035999. Обе формулы отражают странную петлю Ψ*=Φ(Ψ*).

Abstract

EN

Self-referential formulae for μ=mp/me and α⁻¹ derived from π, φ, integers with zero free parameters. Formula for μ contains four layers. Result: μ=1836.15267. Formula for α⁻¹ contains three layers. Result: α⁻¹=137.035999. Both formulae reflect the strange loop fixed point Ψ*=Φ(Ψ*).

摘要

ZH

从π、φ、整数推导μ和α⁻¹的自指公式，无自由参数。结果：μ=1836.15267，α⁻¹=137.035999。

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Subjects & Identifiers

Subjects:
General Physics (physics.gen-ph) · proton-electron mass ratio · fine-structure constant · 1836 · 137 · strange loop · fixed point · π · φ
Category:
Physics and Technology · Физика и технологии
Authors:
Anton Pankratov (independent researcher)
Submitted:
Last modified:
Languages:
Russian (primary), English
Permanent URL:
https://odtoe.org/en/articles/fundamental-constants-1836
Journal:
Observer-Dependent Theory of Everything (ODTOE Corpus)
Comments:
For research collaboration or corrections, contact via /contact. Citations and academic engagement welcome.

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APA-like
Pankratov A. "Two Fundamental Constants from First Principles: μ=1836 and α⁻¹=137 in ODTOE." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/fundamental-constants-1836
BibTeX[ click to expand ]
@article{pankratov2026fundamentalConstants1836,
  author    = {Pankratov, Anton},
  title     = {Two Fundamental Constants from First Principles: μ=1836 and α⁻¹=137 in ODTOE},
  journal   = {Observer-Dependent Theory of Everything},
  year      = {2026},
  month     = {Feb},
  url       = {https://odtoe.org/en/articles/fundamental-constants-1836},
  publisher = {odtoe.org}
}
RIS (EndNote / Reference Manager)[ click to expand ]
TY  - JOUR
AU  - Pankratov, Anton
TI  - Two Fundamental Constants from First Principles: μ=1836 and α⁻¹=137 in ODTOE
JO  - Observer-Dependent Theory of Everything
PY  - 2026
DA  - 2026-02-23
UR  - https://odtoe.org/en/articles/fundamental-constants-1836
PB  - odtoe.org
ER  -
Two Fundamental Constants from First Principles: μ=1836 and α⁻¹=137 in ODTOE

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