Quaternion Observer
Quaternion Observer
定义
The observer's cognitive coherence B = F · E · (1−σ) · Λ is structurally isomorphic to a Hamilton quaternion with four independent components. Gimbal lock in engineering corresponds to the nullification of any one component of consciousness, illustrating why all four are needed for a stable observer.
The observer's cognitive coherence B = F · E · (1−σ) · Λ is structurally isomorphic to a Hamilton quaternion with four independent components. Gimbal lock in engineering corresponds to the nullification of any one component of consciousness, illustrating why all four are needed for a stable observer.
相关术语
Cognitive Coherence B(O,C)
Cognitive coherence B(O,C) is the central measurable quantity of ODTOE that determines how strongly an observer O actualizes configuration C. It is computed as B(O,C) = F^w1 · E^w2 · (1−σ)^w3 · Λ^w4, where F is attention focus (fidelity), E is energy, σ is internal contradiction (entropy), and Λ is data quality.
Observer (ODTOE)
In ODTOE an observer is any object parametrized by the triad (B, A, H) — cognitive coherence, attention/action and history — capable of applying an observation operator Ô. Observers range from quarks (d<0) and atoms (d=0) to cells, humans and collective clusters.
Evolutionary Observer
An evolutionary observer is an observer whose operator dimensionality d grows over time, expanding its actualization horizon. ODTOE places observers on a single ladder from quarks (d<0) and atoms (d=0) through cells (d=1) to humans (d≈3–4) and self-observation of the Universe (d=9), with octave repetition above.