Resonant Genesis and Post LCDM Geometry: Toward Harmonic Framework of Cosmic Structure Formation

Large-scale structure maps (SDSS, DESI) show high cross-correlation (r > 0.8) with synthetic density fields, particularly in filament alignment.

CMB simulations reproduce the low- anomalies, including quadrupole suppression and octopole planarity, as robust modal features.

Mock galaxy distributions match the statistical morphology of early JWST-detected galaxies, especially in high-z clusterings.

6.4 Parameter Sensitivity and Model Robustness

Parameter sweeps were performed across:

• Mode amplitude distribution: Gaussian vs power-law vs log-periodic.

• Boundary topologies: , , and compact hyperbolic spaces.

• Initial phase correlations: fully random vs pre-correlated modal phases.

Results show that:

• Structure persistence is most robust in log-periodic mode weightings, consistent with fractal cosmology.

• Topological constraints strongly affect mode coherence, with providing cleaner harmonic patterns, and yielding richer modal coupling.

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