Coherence Nodes and Structured Entanglement in Resonant Field Systems

This preprint presents a speculative extension of the Field Matrix (FM) framework, introducing the concepts of coherence nodes and harmonizing nodes as structural elements for describing coherence and entanglement in complex systems. Within the framework, coherence nodes are defined as localized regions of phase compatibility between multiple resonance configurations, while harmonizing nodes represent a subset that may stabilize coherence between otherwise weakly compatible structures. Based on this interpretation, entanglement is considered not only as a formal non-separable state, but as a shared coherence configuration that may be structurally organized within an extended field domain characterized by spatial coordinates and a field-depth parameter (ζ). The work explores whether such node-mediated coherence structures can support relationships between electronic states beyond simple pairwise interactions, and whether they may give rise to distributed, network-like coherence configurations. The analysis remains qualitative and is limited to internal consistency within the FM framework. No claims are made regarding physical realization or experimental verification. The purpose of this work is to examine whether the introduction of coherence nodes provides a useful interpretative extension for understanding structured coherence and entanglement in complex systems.