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

31 Juli 2025   12:02 Diperbarui: 31 Juli 2025   12:02 337
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2. The 'Blink' as Quantum Layer Nucleation

We reinterpret this tunneling event not as the birth of a single, homogeneous universe but as the nucleation of a layered quantum bubble with internal topological structure. Each cosmological layer within this bubble---analogous to concentric regions with distinct curvature or vacuum properties---emerges from the tunneling event with slightly different phase-space parameters.

This has several implications:

The Universe is not born uniformly, but with radial quantum stratification, where each layer may correspond to a region of different effective energy density or expansion rate.

The quantum wavefunction encodes multiple decoherent branches, naturally producing layered vacua with subtle but observationally relevant differences in curvature and Hubble parameter.

Early-time anisotropies and density perturbations are seeded by quantum interference patterns between layers, leading to the observed non-Gaussianity and fractal distributions.

3. Mathematical Structure of Tunneling Genesis

Formally, we define the tunneling probability amplitude A\mathcal{A} for the Universe's birth as:

Aexp(12Veff[,g]d)\mathcal{A} \sim \exp\left(-\frac{1}{\hbar} \int \sqrt{2 \mathcal{V}_\text{eff}[\Phi, g_{\mu\nu}]} \, d\tau \right)

where Veff\mathcal{V}_\text{eff} is the effective quantum potential defined over configuration space variables \Phi (field content) and gg_{\mu\nu} (metric degrees of freedom), and \tau is Euclidean proper time. The result is a wavefunctional distribution over a multilayered topology of mini-universes or subdomains, each with distinct quantum numbers.

4. From Quantum Layers to Classical Expansion

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