Novelty: Unified Fractal-Harmonic FrameworkÂ
This work is the first to integrate: Â
1. General Relativity + Wave Mechanics: Spacetime curvature and quantized modes coexist via modified Einstein equations: Â
  \\( G_{\mu\nu} + \kappa \mathcal{R}_{\text{boundary}} = 8\pi G T_{\mu\nu} \\), Â
  where \\(\mathcal{R}_{\text{boundary}\\) encodes resonant energy. Â
2. Fractal Topology: Cosmic web's D 2.7 fractal dimension emerges naturally from recursive boundary conditions. Â
3. Testable Predictions: Â
  - Gravitational Waves: Resonant bands at 35 Hz(LIGO/Virgo detectable). Â
  - CMB: Spiral-phase correlations in B-mode polarization Â
Advantages over CDM: Â
- Explains JWST galaxies without rapid mergers. Â