Resonant Spacetime Hypothesis 2.0

   - The multiverse problem: Eternal inflation implies unobservable universes, sacrificing predictive power.  

These issues suggest CDM is incomplete, motivating alternatives where structure formation is intrinsically geometric, not stochastic.  

Key Hypothesis: Resonant Spacetime Eigenmodes 

We propose that spacetime itself is a resonant medium, with cosmic structures seeded by quantized eigenmodes determined by:  

1. Boundary Conditions: Compact topology (e.g., 3-torus, Poincar dodecahedron) discretizes allowable modes.  

2. Fractal Geometry: Hausdorff-measured Laplacian = generates self-similar density fluctuations.  

3. Spiral Harmonics: Eigenfunctions of the form e^(im + lnr) imprint logarithmic spirals (Fig. 1).  

Mechanism:  

- Overdensities form at antinodes of standing waves (|| peaks).  

- Voids correspond to nodes ( = 0).  

- No fine-tuning: Structure scales are fixed by eigenfrequencies ( n/R), not random fluctuations.