Dynamic Oscillatory Coherence (DOCPart 2a,2b,2c) - Emergence of the Spinor Network, Coherence and Dark Coherence Fields and Special Eigenmodes

This iterative draft presents the second stage of the Dynamic Oscillatory Coherence (DOC) framework—a unified, recursive model of matter, phase, and interaction grounded in coherence field dynamics and complex phase recursion. DOC reframes mass, charge, and force not as fundamental entities, but as emergent properties of recursive oscillatory coherence. The current archive includes Parts 2a, 2b, and 2c, which detail the mathematical emergence and energetic behavior of spinor networks, coherence–dark coherence interactions, and special eigenmode excitations. DOC 2a: Emergence of the Spinor Network This paper derives the formation of spinor states as recursive coherence eigenmodes stabilized by repeated cycling through the square root of i. Spinors arise as the first stable, phase-locked configurations within the coherence field, representing localized mass-energy nodes with internal memory and directional twist. Their linking forms the foundational spinor network, the backbone of emergent matter and identity. DOC 2b: Coherence and Dark Coherence Fields DOC 2b explores the dual-field energy structure: coherence energy (ERE_RER) and dark coherence energy (EIE_IEI). These fields exchange energy recursively, with coherence stabilizing mass and dark coherence driving phase misalignment and symmetry breaking. A feedback loop of energy transfer and suppression governs the evolution of stable structures and energetic disturbances, underpinning interactions and force propagation. DOC 2c: Special Eigenmodes and Field Excitations This section formalizes the special eigenmodes of the DOC framework: long-lived coherent excitations within the spinor–coherence field structure. Eigenmodes arise as stable or resonant solutions to the recursive DOC field equations and serve as bridge states between quantum field behavior and classical observables.