Resonant Spacetime Hypothesis 2.0

1. Introduction  

-Motivation: Tensions in CDM (JWST galaxies, CMB anomalies) and limitations of inflation (fine-tuning, multiverse).  

- Key Hypothesis: Spacetime's resonant eigenmodes seed structures via boundary-condition quantization.  

-Novelty: First unified fractal-harmonic model with empirical predictions beyond CDM.  

2. Theoretical Foundations  

- Modified General Relativity:  

- Einstein equations with resonant boundary terms:  

    \\( G_{\mu\nu} + \kappa R_{\text{boundary}} = 8\pi G T_{\mu\nu} \\).  

- Energy conditions and stability analysis.  

- Fractal Spacetime Manifold  

- Hausdorff-measured Laplacian: \\( \Delta_F \psi_n = \lambda_n \psi_n \\) on a Sierpiski-like 3-manifold.