Toward a Critical Phenomena Framework for Consciousness: A Perspective

This manuscript presents a theoretical perspective on whether concepts from critical phenomena and phase transition theory may provide a useful mathematical framework for describing certain neural signatures associated with conscious states. Empirical findings such as perturbational complexity index (PCI) thresholds, large-scale neural integration, and critical slowing down near anesthesia transitions have been interpreted as signatures of dynamical regime changes in cortical networks. This work explores whether these observations can be coherently described within a minimal dynamical framework using order parameters and stability analysis. A simple dynamical model for the evolution of integrated information Φ is proposed, and its behavior near a putative critical threshold Φ_c is analyzed. The framework does not claim experimental proof of consciousness as a phase transition. Rather, it is offered as a conceptual and mathematical lens for organizing existing empirical observations and generating falsifiable predictions. Speculative extensions beyond currently testable neuroscience are explicitly identified as such and are not presented as established scientific claims.