Abstract
Аннотация
RUРасширение ODTOE в динамический режим: от асимптотических пределов (B→1, S→1) к эволюционным траекториям с производными dB/dt, dS_ij/dt. Монадологическая линия Бугаева от Лейбница получает количественное замыкание: закон солидарности → P5 коллективное наблюдение, закон сохранения прошлого → иерархия H_hist. Теорема условной достижимости. Интегральная метрика плотности мировой линии P(W). Двухуровневая стратификация наблюдателей.
Abstract
ENExtension of ODTOE to dynamic regime: from asymptotic limits (B→1, S→1) to evolutionary trajectories with derivatives dB/dt, dS_ij/dt. Bugaev's monadological lineage from Leibniz gets quantitative closure: law of solidarity → P5 collective observation, law of conservation of past → H_hist hierarchy. Conditional reachability theorem. Integral world-line density metric P(W). Two-level observer stratification.
摘要
ZH将ODTOE扩展到动态机制:从渐近极限(B→1,S→1)到具有导数dB/dt、dS_ij/dt的演化轨迹。Bugaev从Leibniz的单子论获得定量闭合。条件可达性定理。世界线积分密度度量P(W)。
Subjects & Identifiers
- Subjects:
- Mathematical Physics (math-ph) · evolutionary monadology · dynamic attractor · Bugaev · fixed point · Fix(Φ) · energy-information density · world line · collective observation · open system
- Category:
- Foundations of Theory · Основы теории
- Authors:
- Anton Pankratov (independent researcher)
- Submitted:
- Last modified:
- Languages:
- Russian (primary), English
- Permanent URL:
- https://odtoe.org/en/articles/dynamic-attractor
- 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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Plain text
APA-likePankratov A. "Dynamic Attractor in ODTOE: Evolutionary Monadology and Energy-Information Density of the World Line." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/dynamic-attractorBibTeX[ click to expand ]
@article{pankratov2026dynamicAttractor,
author = {Pankratov, Anton},
title = {Dynamic Attractor in ODTOE: Evolutionary Monadology and Energy-Information Density of the World Line},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Mar},
url = {https://odtoe.org/en/articles/dynamic-attractor},
publisher = {odtoe.org}
}RIS (EndNote / Reference Manager)[ click to expand ]
TY - JOUR
AU - Pankratov, Anton
TI - Dynamic Attractor in ODTOE: Evolutionary Monadology and Energy-Information Density of the World Line
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-03-13
UR - https://odtoe.org/en/articles/dynamic-attractor
PB - odtoe.org
ER - Related Articles
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