Вывод гравитационной постоянной G из первых принципов ODTOE как геометрического следствия информационной архитектуры реальности. Гравитация интерпретируется как четвёртая информационная операция — SYNC (синхронизация), согласующая наблюдателей на соседних уровнях рекурсии φ-тора. Инертность конфигурации I(C) является геометрической основой массы, а сила Ньютона возникает как результат синхронизирующих импульсов между уровнями. Новая формула для G выводится через спектральную плотность мод φ-тора и множитель когерентности Φ_G(φ, S, d). При макроскопических значениях S→1 формула воспроизводит стандартное значение, а при S<1 предсказывает когерентностные поправки. Принцип эквивалентности выведен из совпадения инертностей конфигурации на различных уровнях.
Derivation of gravitational constant G from first principles of ODTOE as geometric consequence of informational architecture of reality. Gravity interpreted as fourth information operation — SYNC (synchronization) — which aligns observers on adjacent recursion levels of φ-torus. Configuration inertia I(C) is geometric foundation of mass; Newton's force emerges as result of synchronization pulses between levels with intensity proportional to product of inertias. Novel formula for G derived through spectral density of φ-torus modes and coherence factor Φ_G(φ, S, d) depending on structure constant and logarithmic architecture parameters. For macroscopic values S→1, formula reproduces standard value; for S<1 predicts coherence corrections to gravitational interaction. Equivalence principle derived from coincidence of configuration inertias at different levels connected to KAM structure scaling.
从ODTOE第一原理推导万有引力常数G。引力被解释为第四信息操作——SYNC（同步）。配置惯性I(C)是质量的几何基础。包含用于高相干性系统的微重力实验的明确预测。
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Pankratov A. "Gravity as Observer Synchronization: Deriving the Gravitational Constant from ODTOE First Principles." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/gravity-observer-sync@article{pankratov2026gravityObserverSync,
author = {Pankratov, Anton},
title = {Gravity as Observer Synchronization: Deriving the Gravitational Constant from ODTOE First Principles},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Apr},
url = {https://odtoe.org/en/articles/gravity-observer-sync},
publisher = {odtoe.org}
}TY - JOUR
AU - Pankratov, Anton
TI - Gravity as Observer Synchronization: Deriving the Gravitational Constant from ODTOE First Principles
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-04-22
UR - https://odtoe.org/en/articles/gravity-observer-sync
PB - odtoe.org
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