Quaternion Structure of the Observer in ODTOE: From Engineering Intuition to Formal Theory
Кватернионная структура наблюдателя в ODTOE: от инженерной интуиции к формальной теории
Кватернионная структура наблюдателя в ODTOE: от инженерной интуиции к формальной теории
Why does consciousness have four components? Four-component cognitive coherence B=F·E·(1−σ)·Λ is isomorphic to Hamilton's quaternion. Gimbal lock in engineering parallels nullification of consciousness components.
Почему сознание имеет четыре компоненты? Четырёхкомпонентная когнитивная когерентность B=F·E·(1−σ)·Λ изоморфна кватерниону Гамильтона. Gimbal lock в инженерии параллелен обнулению компонент сознания.
Four-component structure of consciousness
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Pankratov A. "Quaternion Structure of the Observer in ODTOE: From Engineering Intuition to Formal Theory." Observer-Dependent Theory of Everything, odtoe.org, 2026. https://odtoe.org/en/articles/quaternion-consciousness@article{pankratov2026quaternionConsciousness,
author = {Pankratov, Anton},
title = {Quaternion Structure of the Observer in ODTOE: From Engineering Intuition to Formal Theory},
journal = {Observer-Dependent Theory of Everything},
year = {2026},
month = {Feb},
url = {https://odtoe.org/en/articles/quaternion-consciousness},
publisher = {odtoe.org}
}TY - JOUR
AU - Pankratov, Anton
TI - Quaternion Structure of the Observer in ODTOE: From Engineering Intuition to Formal Theory
JO - Observer-Dependent Theory of Everything
PY - 2026
DA - 2026-02-09
UR - https://odtoe.org/en/articles/quaternion-consciousness
PB - odtoe.org
ER - Observer is any object parametrized by (B, A, H). Evolution as growth of operator dimensionality d: quarks (d<0), atoms (d=0), cells (d=1), humans (d=3-4).
How multiple self-enclosed universes align to produce shared reality. Here and now as area of maximum configuration overlap. Hierarchy of coherence clusters.
Operational protocol for measuring cognitive coherence parameter B=F^w₁·E^w₂·(1−σ)^w₃·Λ^w₄. Instrumental methods: fMRI, EEG, HRV, eye-tracking, IAT, GSR. Non-instrumental methods: self-report scales, observation journals, behavioral markers. Quaternion structure of coherence for deficit type diagnosis. Inter-observer coherence measurement protocol for groups.