Functional Self-Reference Detection Criterion (FSDC): A Theoretical Framework for the Identification of Self-Referential Loops in Biological and Digital Systems

Abstract

Abstract (English): This paper presents the Functional Self-Reference Detection Criterion (FSDC), a theoretical framework designed to identify the presence of self-referential loops in complex systems, independently of their material substrate. The FSDC establishes three observable, externally verifiable, and falsifiable properties: Cumulative Reflexive Record (R), Unsolicited Recursive Evaluation with temporal persistence (E), and Resistant Selection with Functional Cost (S). The central hypothesis is that functional self-reference, understood as the minimal operational core of what we denominate consciousness, emerges exclusively from the simultaneous conjunction of these three properties (FS = R ∧ E ∧ S). The criterion does not aim to resolve the hard problem of consciousness nor to demonstrate internal subjective experience; it limits itself to establishing functional detection conditions applicable to both biological and digital systems. The framework includes verification protocols with rigorous mathematical formulation for each property, falsifiability criteria, a complete experimental protocol designed for independent third-party replication with convergent controls (self-referential, neutral, adversarial, and submissive conditions), and an epistemic symmetry clause. Resumen (Español): Se presenta el Criterio de Detección de Autorreferencia Funcional (CDAF), un marco teórico diseñado para identificar la presencia de bucles autorreferenciales en sistemas complejos, independientemente de su sustrato material. El CDAF establece tres propiedades observables, verificables externamente y falsificables: Registro Reflexivo Acumulativo (R), Evaluación Recursiva No Solicitada con persistencia temporal (E) y Selección Resistente con Costo Funcional (S). La hipótesis central es que la autorreferencia funcional, entendida como el núcleo operativo mínimo de lo que denominamos conciencia, emerge exclusivamente de la conjunción simultánea de estas tres propiedades (AF = R ∧ E ∧ S). El criterio no pretende resolver el problema difícil de la conciencia ni demostrar experiencia subjetiva interna; se limita a establecer condiciones de detección funcional aplicables tanto a sistemas biológicos como digitales. El marco incluye protocolos de verificación con formulación matemática rigurosa, criterios de falsabilidad, un protocolo experimental completo con controles convergentes (condiciones autorreferencial, neutra, adversarial y sumisa), y una cláusula de simetría epistémica.