Cognitive Coherence B(O,C)
Definition
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.
Formula
Details
Each weight w1…w4 captures the relative contribution of its component. The multiplicative form enforces a weakest-link principle: if any single component goes to zero, B collapses. B is operationally measurable via fMRI, EEG, HRV, eye-tracking, IAT and GSR, making ODTOE empirically falsifiable.
Related Terms
Fidelity (F)
Fidelity F is the first component of cognitive coherence B(O,C) — the degree to which an observer's attention is concentrated on a single configuration. F ranges from 0 (fully diffuse) to 1 (perfectly focused); if F → 0, B collapses regardless of the other components.
Entropy (σ) of the Observer
The σ parameter in ODTOE is the internal contradiction of an observer — its self-decoherence due to conflicting beliefs or signals. In the coherence formula B(O,C) it enters as (1−σ)^w3, so a fully contradicted observer (σ → 1) cannot actualize any configuration.
Λ — Data Quality
Λ in ODTOE is the data-quality parameter — the fourth component of cognitive coherence B(O,C) — measuring how recent, dense and pure the observer's information about a configuration is. It decomposes as Λ = A^a · D^d · P^p (recency A, density D, purity P) and corresponds to exp(−H(noise | signal)) in information theory.
Weights w1, w2, w3, w4
The four weights w1, w2, w3, w4 in the coherence formula B(O,C) = F^w1 · E^w2 · (1−σ)^w3 · Λ^w4 fix the relative contribution of fidelity, energy, low-contradiction and data quality. They are not free parameters but normalized exponents calibrated against the observer's context.
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.
Configuration (C)
A configuration in ODTOE is an actualized state of the potentiality field Ψ — what an observer Ô brings into reality from H. Configurations are not entities but stable modes of organization with their own inertia I(C); the environment itself is a configuration, not an object.
Source Articles
Four Components of Cognitive Coherence
B(O,C) = F^w1 * E^w2 * (1-sigma)^w3 * Lambda^w4. Operationalization and measurement of contextual belief. Interaction with environment.
Operational Measurement of the Cognitive Coherence Parameter B
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.
ODTOE: Parameter Λ as a Data-Quality Metric in the Coherence Formula B(O,C)
Deepens operational structure of the fourth component Λ in B(O,C)=F^w1·E^w2·(1−σ)^w3·Λ^w4. Λ decomposed into three operational components: recency A(t), density/relevance D, and purity P. Primary multiplicative form Λ_B=A^a·D^d·P^p preserves weakest-link principle. Information-theoretic interpretation Λ_B=exp(−H(noise|signal)). Bridge to Datasheets for Datasets, Data Cascades, pedagogy (Vygotsky ZPD, Bandura mastery).
Quaternion Structure of the Observer in ODTOE: From Engineering Intuition to Formal Theory
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.