A Mathematical Definition of Consciousness from the PFCA Field-Core Perspective — Expanded Mathematical, Numerical, and Falsification Edition

Consciousness may emerge from recursively organized field dynamics rather than from static symbolic processing, according to the Plasma Field Core Architecture (PFCA) framework. The framework proposes that cognition, perception, memory, and awareness arise through interactions of dynamically coupled field operators, emphasizing recursive backward reconstruction, attractor geometry, multi-scale coherence, and self-organizing field dynamics. Consciousness is interpreted as a continuously evolving coherent field state generated through recursive integration across multiple spatial and temporal scales. PFCA aims to provide a formal mathematical and conceptual architecture suitable for analysis, computational implementation, and empirical investigation, presented as an open scientific proposal to stimulate discussion and refinement.

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Abstract

This work presents a theoretical framework for consciousness based on the Plasma Field Core Architecture (PFCA). Within this framework, consciousness is not treated as an isolated computational function or as a predefined symbolic process, but as an emergent property arising from recursively organized field dynamics, coherent attractor structures, and continuous geometric state evolution. PFCA proposes that cognition, perception, memory, and conscious awareness emerge through the interaction of dynamically coupled field operators rather than through static symbolic representations. The framework emphasizes recursive backward reconstruction, attractor geometry, multi-scale coherence, and self-organizing field dynamics as fundamental principles governing the evolution of conscious systems. The document explores how information, geometry, causality, temporal organization, and dynamic field interactions can be integrated into a unified mathematical and conceptual architecture. Consciousness is interpreted as a continuously evolving coherent field state generated through recursive integration across multiple spatial and temporal scales. Rather than presenting consciousness as a fundamental entity, PFCA investigates how subjective experience may emerge from structured field dynamics and seeks to establish a formal framework suitable for mathematical analysis, computational implementation, and empirical investigation. This publication is intended as a theoretical contribution to research in consciousness studies, theoretical neuroscience, complex systems, artificial intelligence, mathematical cognition, and field-based computational architectures. The framework is presented as an open scientific proposal intended to stimulate discussion, critical evaluation, mathematical refinement, and experimental validation.