Тороидальная модель ODTOE дополнена нетривиальным Z₂-расслоением. Голономия hol(γφ)=−1 вдоль φ-цикла является единственным источником трёх множителей 2: в числе 6=3×2, в поправке 2(π−3)² и в фермионном 4π-обходе (спин-1/2). CPT-симметрия (hol(CPT)=+1) и принцип Паули (dimH⁰=1) выведены из голономии расслоения. Предложен тест: δtwist=π²(π−3)⁴/(μ·α⁻¹)≈1.58×10⁻⁸ станет измеримым при точности CODATA ±10⁻⁹.
The ODTOE toroidal model is augmented with a nontrivial Z₂ fiber bundle. The holonomy hol(γφ)=−1 along the φ-cycle is the single source of three factors of 2: in the number 6=3×2, in the correction 2(π−3)², and in the fermionic 4π traversal (spin-1/2). CPT symmetry (hol(CPT)=+1) and the Pauli exclusion principle (dimH⁰=1) are derived from bundle holonomy. A testable prediction is proposed: δtwist=π²(π−3)⁴/(μ·α⁻¹)≈1.58×10⁻⁸ becomes measurable at CODATA precision ±10⁻⁹.
ODTOE环形模型增加了非平凡Z₂纤维丛。沿φ-周期的holonomy hol(γφ)=−1是三个因子2的唯一来源：数字6=3×2、修正项2(π−3)²和费米子4π遍历（自旋-1/2）。CPT对称性和泡利不相容原理从丛的holonomy导出。提出可测试预测：δtwist≈1.58×10⁻⁸在CODATA精度±10⁻⁹时可测量。
Select the text below to copy citations in your preferred format.
Pankratov A. "Z₂ Fiber Bundle over the φ-Torus: Spinor Architecture of Fundamental Constants." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/z2-fiber-bundle@article{pankratov2026z2FiberBundle,
author = {Pankratov, Anton},
title = {Z₂ Fiber Bundle over the φ-Torus: Spinor Architecture of Fundamental Constants},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Mar},
url = {https://odtoe.org/en/articles/z2-fiber-bundle},
publisher = {odtoe.org}
}TY - JOUR
AU - Pankratov, Anton
TI - Z₂ Fiber Bundle over the φ-Torus: Spinor Architecture of Fundamental Constants
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-03-29
UR - https://odtoe.org/en/articles/z2-fiber-bundle
PB - odtoe.org
ER - Proton = observed R, neutron = observer O, electron = observation operator. Wheeler-Feynman single electron hypothesis. Neutrino as spiral gap.
Five mechanisms: coherence channel S to 1, resonance with H modes, Casimir effect, recursive amplification, collective observation.
Charge = orientation in self-observation cycle. Maxwell equations as self-consistency conditions. Coherent conductivity resonator (KRP).