Fractal-Layered Holographic Cosmology: A Testable Framework for Hubble Tension, CMB Anomalies, and Early Structure Formation

3. Robustness Summary

In short, the proposed framework maintains internal consistency, dynamical stability, and quantum gravity plausibility, making it a robust contender for a post-CDM paradigm.

VII. Conclusion

A. Summary of Resolved Cosmological Tensions and Proposed Tests

This paper has proposed a novel cosmological framework that integrates holographic boundary-layer geometry, quantum-tunneling genesis, and fractal large-scale structure into a layered multiverse model. Through this synthesis, we aim to provide a unified resolution to multiple outstanding tensions in modern cosmology while making falsifiable predictions for upcoming observational missions.

Resolved Cosmological Tensions

Framework Highlights

No inflaton field or slow-roll dynamics required: Expansion arises from quantum tunneling and phase-entangled vacuum structure.
Modified Friedmann equation with interlayer phase interactions introduces geometrically emergent expansion profiles.
Fractal density profiles, (r)rDH3\rho(r) \sim r^{D_H - 3}, derived from coarse-graining and RG flows, reproduce non-Gaussian perturbations and early galaxy clumping.
Predictive power stems from a minimal extension to general relativity and holography---no exotic new fields are introduced.

Proposed Observational Tests

1. Euclid & DESI:
   Detect direction-dependent H0H_0 gradients at intermediate redshifts, consistent with layer-specific expansion.

2. SKA (Square Kilometre Array):
   Search for anisotropic spin-filament correlations as a signature of fractal torque fields in large-scale structure.
   JWST:
   Test predictions of early massive galaxy abundance using fractal collapse mass functions.

3.