Resonant Spacetime Hypothesis 2.0

   - String Theory: Compactified fractal geometries mirror Calabi-Yau manifolds, with spiral harmonics analogous to winding modes.  

3. Black Hole Thermodynamics: Eigenmode coherence may resolve the information paradox by embedding entropy in geometric boundary terms.  

Resolving Tensions 

- Multiverse Avoidance: Geometric constraints yield a unique universe, unlike inflation's eternal expansion into a probabilistic multiverse.  

- Empirical Tests: Predictions like 35 Hz gravitational wave bands and CMB spiral-phase correlations provide falsifiable benchmarks absent in CDM.  

Critiques and Responses 

- Geometric Fine-Tuning?: While topology choices (e.g., dodecahedral vs. toroidal) affect predictions, these are testable via CMB anomalies (e.g., missing large-scale correlations).  

- Quantum Foundations: Future work must derive RSH's boundary conditions from first principles (e.g., quantum graphity or tensor networks).  

Synthesis  

RSH reframes cosmology as a geometric-harmonic system, where spacetime's eigenmodes replace inflationary randomness. By anchoring structure formation in boundary topology and fractal symmetry, it resolves fine-tuning while bridging quantum gravity and observational cosmology. JWST's high-z galaxies and DESI's fractal voids already favor this paradigm, urging further tests via next-generation CMB and gravitational wave surveys.  

Key References: