В тороидальной модели ODTOE из двух структурных инвариантов — π и φ — выведены космологические доли тёмной энергии, тёмной мат��рии и барионной (видимой) материи. φ-тор обладает тремя топологическими секторами: межуровневый (большой радиус R, гравитационная инерция ∝R²=φ²), внутриуровневый (малый радиус r, инерция ∝r²=1) и секторы зазора (накопленные спиральные зазоры Z=(π−3)/[1+(π−3)φ]). Нормированные доли: ΩΛ:ΩDM:Ωb = φ²:1:Z = 68,86%:26,30%:4,83%. Сравнение с данными Planck 2018: тёмная энергия 0,54σ, тёмная мате��ия 0,32σ, барионная 1,64σ. Ноль подгоночных параметров.
Within the toroidal ODTOE model, the cosmological fractions of dark energy, dark matter and baryonic matter are derived from two structural invariants: π and φ. The φ-torus possesses three topological sectors: inter-level (R², gravitational inertia), intra-level (r²=1), and gap sector (Z=(π−3)/[1−(π−3)φ]). Normalized fractions: ΩΛ:ΩDM:Ωb = φ²:1:Z = 68.86%:26.30%:4.83%. Planck 2018 comparison: dark energy 0.54σ, dark matter 0.32σ, baryonic 1.64σ. Zero adjustable parameters.
在ODTOE环形模型中，从两个结构不变量π和φ推导出暗能量、暗物质和重子（可见）物质的宇宙学比例。φ-环具有三个拓扑扇区：级间扇区（大半径R，引力惯性∝R²=φ²）、级内扇区（小半径r，惯性∝r²=1）和间隙扇区（Z=(π−3)/[1−(π−3)φ]）。归一化比例：ΩΛ:ΩDM:Ωb = φ²:1:Z = 68.86%:26.30%:4.83%。与Planck 2018对比：暗能量0.54σ，暗物质0.32σ，重子1.64σ。零可调参数。
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Pankratov A. "Cosmological Fractions from Toroidal Architecture: Deriving Dark Energy, Dark Matter and Baryonic Matter from π and φ." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/cosmological-fractions@article{pankratov2026cosmologicalFractions,
author = {Pankratov, Anton},
title = {Cosmological Fractions from Toroidal Architecture: Deriving Dark Energy, Dark Matter and Baryonic Matter from π and φ},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Apr},
url = {https://odtoe.org/en/articles/cosmological-fractions},
publisher = {odtoe.org}
}TY - JOUR
AU - Pankratov, Anton
TI - Cosmological Fractions from Toroidal Architecture: Deriving Dark Energy, Dark Matter and Baryonic Matter from π and φ
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-04-06
UR - https://odtoe.org/en/articles/cosmological-fractions
PB - odtoe.org
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