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Pi as Structural Invariant of Self-Consistent Observation

Число pi как структурный инвариант самосогласованного наблюдения

Anton Pankratov(independent)·
pigolden ratioinvariantEuler formula

Abstract

Abstract

EN

Five independent arguments for necessary presence of pi in ODTOE formalism. Connection between transcendence of pi and spiral dynamics. Role of golden ratio phi.

Аннотация

RU

Пять независимых аргументов необходимого присутствия pi в формализме ODTOE. Связь трансцендентности pi со спиральной динамикой. Роль золотого сечения phi.

摘要

ZH

Pi in observation formalism

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Subjects & Identifiers

Subjects:
Mathematical Physics (math-ph) · pi · golden ratio · invariant · Euler formula
Category:
Mathematical Structures
Authors:
Anton Pankratov (independent researcher)
Submitted:
Last modified:
Languages:
Russian (primary), English
Permanent URL:
https://odtoe.org/en/articles/pi-article
Journal:
Observer-Dependent Theory of Everything (ODTOE Corpus)
Comments:
For research collaboration or corrections, contact via /contact. Citations and academic engagement welcome.

Cite this article

Select the text below to copy citations in your preferred format.

Plain text

APA-like
Pankratov A. "Pi as Structural Invariant of Self-Consistent Observation." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/pi-article
BibTeX[ click to expand ]
@article{pankratov2026piArticle,
  author    = {Pankratov, Anton},
  title     = {Pi as Structural Invariant of Self-Consistent Observation},
  journal   = {Observer-Dependent Theory of Everything},
  year      = {2026},
  month     = {Feb},
  url       = {https://odtoe.org/en/articles/pi-article},
  publisher = {odtoe.org}
}
RIS (EndNote / Reference Manager)[ click to expand ]
TY  - JOUR
AU  - Pankratov, Anton
TI  - Pi as Structural Invariant of Self-Consistent Observation
JO  - Observer-Dependent Theory of Everything
PY  - 2026
DA  - 2026-02-01
UR  - https://odtoe.org/en/articles/pi-article
PB  - odtoe.org
ER  -
Pi as Structural Invariant of Self-Consistent ObservationEN

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