Emergent Geometry from Recursive Coherence Dynamics: A Theoretical Framework

This series presents a comprehensive theoretical model in which spacetime geometry—including metric intervals, curvature, and multiscale structure—emerges from recursive interactions between coherence and dark coherence fields. Without assuming a preexisting manifold or relying on higher-dimensional embedding or entanglement entropy, the framework constructs geometry internally through phase-driven recursion seeded by the complex root of unity i\sqrt{i}i. Part 1:introduces the core field definitions and recursive logic underlying the model. Part 2 :derives the emergent metric and scalar curvature from coherence flow vectors and recursive phase deformation. Part 3: compares this approach with entanglement-based models, outlines conceptual extensions, and explores testable predictions across cosmological and structural domains. This coherence-based structure offers a self-contained route to emergent spacetime that bridges foundational physics and observable consequences.