Mathematical Formulation of the B-Bouzid Model of Consciousness
Zenodo (CERN European Organization for Nuclear Research) January 26, 2026 DOI: 10.5281/zenodo.18378990 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Key points | Proposes that consciousness can be modeled as the functional integration between a high-level Sovereignty vector (F) and a neuro-biological Bedrock vector (B), quantified by a Sovereign Integration Index (SII) based on cosine similarity, where SII = 1 indicates full integration and SII = 0 complete dissociation. The author argues the framework can be extended to temporal dynamics, an optional moral capacity vector, and network or differential-equation simulations. |
Abstract
Mathematical Formulation of the B-Bouzid Model of Consciousness 1. Core Variables: · Sovereignty (F): The high-level conscious & ethical layer, represented as an n-dimensional neural vector. · F = [f1, f2, ..., fn] · Bedrock (B): The neuro-biological substrate, represented as an m-dimensional vector. · B = [b1, b2, ..., bm] 2. Sovereign Integration Index (SII): The degree of functional integration between F and B is quantified using cosine similarity: · SII = (F · B) / (||F|| * ||B||) · SII ∈ [0, 1] · SII = 1 → Full integration (Normative conscious state). · SII = 0 → Complete dissociation (e.g., Status Dissociatus). 3. Temporal Dynamics: The model can be extended to model changes over time: · F(t), B(t) → Vectors become functions of time. · d(SII)/dt = f( F(t), B(t), external_stimuli ) → The rate of change of integration. 4. Extension to Ethical Dimension (Optional): · A moral capacity vector M can be defined as a function of F and B. · M = g(F, B) 5. Key Remarks: · Components of F and B can be weighted based on neural/functional significance. · SII is a continuous variable, enabling modeling of hybrid states (e.g., Lucid Dreaming). · The framework is extensible for network simulations and differential equation-based modeling. Reference: Bouzid, F. N. (2026). Mathematical Formulation of the B-Bouzid Model of Consciousness. Zenodo. https://zenodo.org/records/18376847