Empirical support includes:
Log-periodic spacing in LSS and galaxy correlation functions,
Phase coherence in BAO data,
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Quasi-crystalline or fractal-like arrangements observed in deep surveys,
Symmetric alignments unexplained by standard structure formation.
Moreover, the scaling laws of void size distribution and filamentary orientation can be modeled using harmonic solutions with fractal boundary conditions, such as those described by Nautilus spiral embedding or logarithmic wavefronts.
5.4 Summary of Empirical Viability
This convergence of independent observational domains (galaxies, CMB, LSS) strengthens the empirical foundation of Resonant Genesis Hypothesis, and motivates further quantitative tests, especially those targeting mode reconstruction, modal coherence, and pattern prediction.
6. Numerical Simulation of Resonant Structure Formation
6.1 Simulation Setup: A Resonant Spacetime Cavity
To investigate the viability of the Resonant Genesis Hypothesis, we construct a 3D numerical spacetime model defined over a finite, topologically consistent manifold. The simulation domain is designed as a compactified 3D spatial hypersurface, e.g., a 3-torus , spherical , or dodecahedral space, ensuring periodic or reflective boundary conditions suitable for sustaining standing wave modes.
