The Structural Cognitive Field: From Unified Field Geometry to the Physics of Consciousness

Since the development of relativity and modern field theories, a persistent challenge across physics, cognitive science, and artificial intelligence has been the absence of a structural framework linking physical dynamics with conscious phenomena. While classical and quantum theories successfully describe external interactions, they remain largely silent on how informational organization gives rise to awareness.

Building upon the Structural Unified Field (SUF) framework, this paper introduces the Structural Cognitive Field (SCF) as a geometric extension into the cognitive domain. Consciousness is modeled not as a substance or emergent anomaly, but as a structured informational state constrained by a universal tension field. By projecting the SUF equation into cognition, the study defines a cognitive tension ratio, β, representing the proportion between encoded information and encodable informational capacity within a system.

The SCF formalism yields a structural function governing transitions between diffuse, pre-attentive states and high-tension focusing regimes associated with conscious awareness. Within this framework, attention, self-reference, rational deliberation, emotional response, and intuitive judgment are interpreted as resonance modes of informational tension operating across hierarchical levels of organization.

Through the mapping from SUF to SCF, the paper proposes a unified geometric description of cognition that remains agnostic to specific biological or computational implementations. This formulation provides a structural foundation for the scientific analysis of awareness and offers principled constraints relevant to the design of advanced artificial cognitive systems.

The Structural Cognitive Field (SCF) is positioned as a domain-specific instantiation of a general boundary-based geometric framework, and is complemented by several closely related structural developments in cognition and AI. Key references are listed below:

Structural Unified Field Equation
A minimal geometric formulation establishing a unified boundary-based structure across classical, electromagnetic, and quantum regimes:
https://zenodo.org/records/17569228

Structural Causality
A β-directed, boundary-constrained model of causal path formation in cognitive and artificial systems, providing a formal account of directed cognition and path selection within the SCF framework:
https://zenodo.org/records/17933543

Structural Attention
A structural account of attentional dynamics based on β-gradient focusing and boundary prioritization, describing how cognitive resources are selectively allocated within the SCF:
https://zenodo.org/records/17933776

Stateless Cognition
A critical structural argument showing why scaling laws alone cannot yield stable, anchor-based intelligence in large language models, clarifying the distinction between statistical fluency and structural cognition:
https://zenodo.org/records/17834963

Cross-Domain Structural Extension

A cross-domain structural generalization of the incentive boundary logic underlying the Economic Relativity Model (ERM), extending the framework from economic systems to collective behavioral systems more broadly, is developed in:

Behavioral Boundary Relativity: Structural Conditions for Stability and Breakdown in Collective Systems
https://zenodo.org/records/18139321

Foundational Framework

The Structural Unified Field (SUF), which provides the conceptual and geometric foundation for the present work, is developed in full detail in a monographic form. The SUF framework establishes a universal boundary-based tension geometry that underlies physical, cognitive, and behavioral domains, from which domain-specific instantiations such as SCF are derived.

For a comprehensive exposition of the SUF framework, including its philosophical motivation, geometric structure, and cross-domain implications, see:

Structural Unified Field: Boundary, Tension, and the Geometry of Existence
https://www.amazon.com/dp/B0FTTGVCNJ