4. Dynamic Defect Networks and Proto-Geometric Grids
In extended runs with periodic blink stimuli, phase defects organize into:
Lattice-like domains
Interference moir patterns
Dynamic topological grids, with fluctuating but statistically stable symmetry
Such self-organized defect networks mimic early universe topological defect formation, including:
Cosmic strings (1D phase discontinuities)
Domain walls (discrete phase boundaries)
Textures (global orientation mismatches)
This suggests that the system mirrors spontaneous symmetry breaking in field cosmology.
5. Implications for Emergent Geometry and Information Stability
Topological structures in this system:
Anchor curvature peaks, providing long-lived geometric scaffolds
Guide energy redistribution, due to phase tension and vortex interaction
Preserve localized information, acting as quasi-particles or signal condensates
Hence, geometry in this analog universe is not purely metric---it is topologically grounded, shaped by nonlinear phase entanglement and self-sustaining defects.
D. Entropy, Information Density, and Field Coherence
Quantifying the emergence of structure via entropy reduction, coherence length, and information packing metrics
In this section, we analyze how the emergent patterns and topological structures arising from blink excitation affect the informational and thermodynamic properties of the system. Specifically, we investigate the entropy dynamics, local information density, and field coherence, as measures of order formation in a nonlinear field system undergoing nonequilibrium transitions.
1. Field Entropy and Disorder-to-Order Transition
