Устанавливает связь между экспонентой Хёрста и когерентностью ODTOE: H=(1+S)/2 подразумевает S=α−1, где α—экспонента аномальной диффузии. Три следствия: (1) Когерентность становится независимо измеряемой через среднеквадратичное смещение, делая все предсказания ODTOE экспериментально проверяемыми. (2) Постоянная Планка зависит от экспоненты диффузии: h∝(2−α)^(−1/2), предсказывая отклонение в высококогерентных системах (BEC, сверхпроводники). (3) Параметр r ��правляет отношением дрейфа к шуму, количественно описывая стрелу времени с критической мерностью d_crit≈8.12 (метагалактический уровень).
Establishes relation between Hurst exponent and ODTOE coherence: H=(1+S)/2 implies S=α−1 where α is anomalous-diffusion exponent. Three consequences: (1) Coherence becomes independently measurable via mean-square displacement, rendering all ODTOE predictions experimentally testable. (2) Planck constant depends on diffusion exponent: h∝(2−α)^(−1/2), predicting deviation in highly coherent systems (BEC, superconductors). (3) Parameter r governs drift-to-noise ratio, quantifying arrow of time with critical dimensionality d_crit≈8.12 (metagalactic level). All formulas verified to 50 decimal places.
建立赫斯特指数与ODTOE相干性的关系：H=(1+S)/2意味着S=α−1，其中α为异常扩散指数。三个推论：(1) 相干性通过均方位移独立可测，使所有ODTOE预测具有实验可检验性。(2) 普朗克常数依赖扩散指数：h∝(2−α)^(−1/2)，预测高相干系统(BEC、超导体)中的偏离。(3) 参数r管理漂移对噪声比率，定量描述时间箭头，临界维度d_crit≈8.12(元星系级)。
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Pankratov A. "Coherence as a Measurable Quantity: Three Consequences of the Hurst Exponent — S Parameter Relation for the ODTOE Formalism." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/coherence-measurability@article{pankratov2026coherenceMeasurability,
author = {Pankratov, Anton},
title = {Coherence as a Measurable Quantity: Three Consequences of the Hurst Exponent — S Parameter Relation for the ODTOE Formalism},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Feb},
url = {https://odtoe.org/en/articles/coherence-measurability},
publisher = {odtoe.org}
}TY - JOUR
AU - Pankratov, Anton
TI - Coherence as a Measurable Quantity: Three Consequences of the Hurst Exponent — S Parameter Relation for the ODTOE Formalism
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-02-03
UR - https://odtoe.org/en/articles/coherence-measurability
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).