Structural Coherence of Spacetime: A Field-Theoretic Framework for the Emergence of Matter, Gravitation, and Cosmic Structure

We propose a theoretical framework in which spacetime is described as a field of structural coherence whose stable configurations give rise to matter, gravitation, and large-scale cosmic structure.In this approach, matter emerges as localized coherent excitations of a coherence field, while gravitational phenomena arise from gradients in the coherence structure of spacetime. The theory is formulated using a field-theoretic Lagrangian and nonlinear equations of motion that allow stable solutions analogous to solitons and topological defects.We further explore the cosmological implications of this framework, including the emergence of the cosmic web, gravitational nodes, and filamentary structures as natural consequences of coherence domains.Analogies with acoustic resonance and coherent wave phenomena are introduced as an intuitive bridge between the mathematical formalism and physical interpretation.The framework provides a potential pathway toward a unified interpretation of matter, gravitation, and cosmic structure, while remaining compatible with existing physical observations and offering testable predictions for future cosmological measurements.