Arises from an independent or quasi-independent blink event,
Evolves with its own local Hubble constant HiH_i,
Is topologically connected to adjacent layers via quantum interference of field boundaries or wormhole-like phase integrals.
This framework provides a natural explanation for:
Observed variability in the Hubble constant as a function of direction or scale,
Large-angle CMB anomalies and cosmic hemispherical asymmetry,
The non-gaussianity and cold spot structure as interference patterns across adjacent layers.
Mathematically, the structure is governed by a layered metric tensor g(n)g^{(n)}_{\mu\nu}, where nn denotes layer index, and cross-layer interactions are modeled via topological phase integrals or tunneling amplitudes, reminiscent of gauge-field transitions across domain walls in condensed matter analogs.
3. Fractal Universe: Nonlinear Geometry of Internal Cosmic Structure
At a finer scale, the large-scale structure of the universe exhibits nonlinear, self-similar clustering inconsistent with predictions from linear perturbation theory in CDM. Observations of galaxy distributions, voids, and early structure formation reveal fractal-like behavior:
Galaxy correlation functions scale nonlinearly beyond 100 Mpc,
Void structures are nested and anisotropic across scales,
Massive galaxies and quasars appear earlier than expected from hierarchical models.
We extend the internal geometry of each cosmological layer to adopt a fractal dimensionality, characterized by non-integer Hausdorff dimensions DH<3D_H < 3. This internal structure modifies:
The effective density field and gravitational potential wells,
The anisotropic propagation of light across voids and filaments,
The apparent expansion rate, when averaged over fractal volumes.
The Fractal Universe component thus provides a mechanism to explain:
Early galaxy formation without invoking exotic dark matter interactions,
Scale-invariant clustering and power spectrum deviations,
Lightcone-integrated distortions in supernova and lensing surveys.
Synthesis: A Three-Tiered Architecture of the Informational Cosmos
The unification of Blink, Multilayer, and Fractal models offers a hierarchically consistent structure:
At the origin level, the Blink mechanism provides a singularity-free, probabilistic cosmogenesis.
At the topological level, the Multilayer framework structures spacetime into semi-independent, anisotropic Hubble domains.
At the internal-structural level, the Fractal paradigm governs matter distribution and early structure formation.
Each tier contributes to resolving specific anomalies, but their synergy enables a broader explanatory power, integrating:
The early appearance of large-scale structures,
The directional dependence of cosmological parameters,
Nontrivial topology and quantum information flow across layers.
This triadic framework reflects a shift from metric-centric cosmology to information-structured reality, consistent with contemporary developments in quantum gravity, holography, and emergent spacetime. Our subsequent sections formalize this architecture mathematically and explore its implications through both analytic derivations and numerical simulations.
II. Theoretical Framework
