Происхождение наблюдателя в ODTOE: теоремы существования неподвижной точки самонаблюдения
Closes the «open task of first priority» from the base ODTOE article: sufficient conditions for existence (and uniqueness under contraction) of the fixed point Ψ*=Φ(Ψ*). Schauder theorem (existence without uniqueness) and Banach theorem (uniqueness under contraction). Explicit contraction constant q_contract(B,S). Anti-circularity audit confirms Φ definition does not presuppose Ψ*.
Закрытие «открытой задачи первого приоритета» базовой статьи ODTOE: достаточные условия существования (и единственности при сжатии) неподвижной точки Ψ*=Φ(Ψ*). Теорема Шаудера (существование без единственности) и теорема Банаха (единственность при сжатии). Явная константа сжатия q_contract(B,S). Аудит антициркулярности подтверждает, что определение Φ не предполагает Ψ*.
关闭ODTOE基础文章的「首要开放任务」：不动点Ψ*=Φ(Ψ*)存在（和收缩下唯一性）的充分条件。Schauder定理和Banach定理。显式收缩常数q_contract(B,S)。
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Pankratov A. "Origin of the Observer in ODTOE: Existence Theorems for the Self-Observation Fixed Point." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/origin-of-observer@article{pankratov2026originOfObserver,
author = {Pankratov, Anton},
title = {Origin of the Observer in ODTOE: Existence Theorems for the Self-Observation Fixed Point},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Feb},
url = {https://odtoe.org/en/articles/origin-of-observer},
publisher = {odtoe.org}
}TY - JOUR
AU - Pankratov, Anton
TI - Origin of the Observer in ODTOE: Existence Theorems for the Self-Observation Fixed Point
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-02-21
UR - https://odtoe.org/en/articles/origin-of-observer
PB - odtoe.org
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