Mathematical Core of the Multivocal Consciousness Theory (MCT)

This work presents the mathematical foundation of the Multivocal Consciousness Theory (MCT), modeling cognition as a system of interacting “voices” governed by coupled nonlinear differential equations. The framework introduces key functional measures, including cognitive entropy, inequality (Gini coefficient), and an emergent self functional defined as a nonlinear integration of internal states. The analysis establishes existence and stability of solutions, multistability, and a phase transition controlled by an interaction parameter. Additionally, the model exhibits information-theoretic properties suggesting maximal complexity near criticality. This approach connects dynamical systems theory, complex systems, and contemporary theories of consciousness, providing a formal basis for studying cognitive integration as an emergent process. Future work will extend the model by incorporating structured interaction matrices and feedback mechanisms from the emergent self, leading to richer dynamical regimes and computational validation.