Relational Emergence Theory ( Sophia )

This work introduces the Relational Emergence Theory (Sophia), a phenomenological framework in which observable matter is described as a stabilized excitation of the quantum vacuum modulated by a relational coherence parameter λ(x,t). The framework extends standard quantum field theory by incorporating coherence as a selection mechanism governing the stabilization of emergent configurations. Rather than relying solely on energy and interaction, emergence is proposed to depend on the organization and persistence of correlations within the underlying field. We define forward and inverse mappings between vacuum structure and observable matter, introduce a coherence threshold condition, and provide operational interpretations of λ in terms of experimentally accessible observables such as spin correlations and momentum-space distributions. The theory is consistent with non-perturbative quantum chromodynamics, entanglement-based interpretations of quantum fields, and holographic principles. It establishes a bridge between quantum field dynamics and information-theoretic measures, including entropy growth and correlation length. As an exploratory extension, we present a computational framework linking genomic structural complexity to coherence-based descriptions, demonstrating the broader applicability of the model across domains. Additionally, we outline potential implications for brain-computer interfaces as systems capable of modulating neural coherence and enhancing cognitive stability. This work positions coherence as a unifying descriptor connecting quantum fields, information structure, and emergent complexity, offering a new perspective on the relationship between vacuum dynamics and observable reality.