1. Emergence over Initial Conditions
Rather than relying on finely tuned initial conditions followed by smoothing mechanisms (e.g., inflation), an emergent framework suggests that spacetime itself---along with its embedded matter-energy content---could arise from quantum-topological processes. This aligns with no-boundary proposals, tunneling cosmogenesis, and recent developments in quantum gravity that suggest the Universe's large-scale features may emerge from non-local, information-theoretic processes rather than local dynamics alone.
2. Holographic Encoding and Layered Geometry
Building on the holographic principle---where bulk gravitational dynamics can be encoded on boundary structures---a layered topological model enables spacetime to be conceived as nested manifolds or shells with varying curvature, expansion rate, and causal accessibility. Each layer may encode information about adjacent or interior layers, leading to an emergent cosmology where observable properties (e.g., local Hubble rate) become functions of one's position within a topological hierarchy. This potentially explains observed anisotropies and scale-dependent dynamics without invoking exotic dark components or violating general relativity locally.
3. Fractal Structure as a Natural Outcome
Observational studies of galaxy clustering, voids, and the cosmic web indicate a scale-invariant, fractal-like distribution at large scales up to 100--300 Mpc. Traditional cosmology treats this as a statistical artifact or transition regime, but an alternative view posits fractality as a fundamental organizing principle of matter distribution. A framework that naturally accommodates a non-integer Hausdorff dimension for mass-energy density could explain the self-similarity of voids, the early emergence of massive galaxies, and deviations from the smooth FLRW background.
4. Integrating the Three Components
This paper proposes a composite framework combining:
Quantum Holography: Encoding cross-layer information via phase-coupled topological fields,
Fractal Geometry: Describing the internal distribution of matter-energy and angular momentum biasing,
Layered Topology: Explaining anisotropic expansion rates and regional curvature differentials.
