From Vacuum to Reality: A Relational Theory of Coherence and Emergence

We present Relational Emergence (Sophia), a phenomenological framework in which observable matter is described as a stabilized excitation of the quantum vacuum modulated by a relational coherence parameter, (x, t). The framework extends standard quantum field theory by introducing coherence as a selection mechanism, governing which field configurations become physically stable and observable. Rather than relying solely on energy density and interaction strength, we propose that emergence depends critically on the organization, persistence, and structure of correlations within the underlying field. We formalize this approach through forward and inverse mappings between vacuum structure and observable matter, introduce a coherence threshold condition, and define operational interpretations of in terms of experimentally accessible observables, including spin correlations and momentum-space distributions. The proposed framework is consistent with non-perturbative quantum chromodynamics, entanglement-based interpretations of quantum fields, and holographic principles. It establishes a bridge between field dynamics and information-theoretic measures, such as entropy growth and correlation length. As an exploratory extension, we introduce a computational approach linking genomic structural complexity to coherence-based descriptions, illustrating the broader applicability of the framework across physical and biological systems. Additionally, we outline implications for brain–computer interfaces (BCIs) as systems capable of modulating neural coherence and stabilizing cognitive states. Overall, this work positions coherence as a unifying descriptor connecting quantum fields, information structure, and emergent complexity, offering a new perspective on how vacuum dynamics give rise to observable reality.