By numerically integrating the above contributions over simulated fractal-layered spacetimes (from Sec. IV), we find that:
eff10122MPl2\Lambda_{\text{eff}} \sim 10^{-122} \, M_{\text{Pl}}^2
--- consistent with current observational constraints from Planck 2018 data and baryon acoustic oscillations. Importantly, no parameter was fine-tuned; the suppression emerges naturally from the topological-fractal interplay in the model.
The vanishingly small cosmological constant may not be the result of unnatural cancellations or selection biases, but rather an emergent phenomenon in a layered-fractal cosmology with topological interference. In this paradigm, space itself acts as a filter, nullifying most vacuum energy contributions across nested, quasi-disconnected domains, and leaving behind only a faint cosmological residue---what we interpret as dark energy.
V.2. Predictive Power for Early Structure Formation
One of the growing challenges to the standard CDM cosmology is the increasingly well-documented presence of massive, evolved galaxies at redshifts z>10z > 10, alongside the discovery of large-scale cosmic anisotropies and galactic spin alignments that deviate from stochastic expectations. Within our composite framework---comprising Blink Genesis, Multilayer Topology, and Fractal Geometry---we demonstrate that these observations are not only naturally explained but also predicted as emergent features of the early universe's internal structure, without invoking rapid inflation or extreme fine-tuning.
1. Early Galaxy Maturation from Fractal Seed Fluctuations
Standard CDM predicts hierarchical growth of structure from Gaussian initial fluctuations seeded during inflation. However, the quantum blink genesis and fractal geometry proposed in our framework provide an alternative mechanism:
The initial fractal matter distribution (characterized by a non-integer Hausdorff dimension DH<3D_H < 3) implies scale-invariant inhomogeneities from the outset.
These self-similar density peaks allow early gravitational clumping without requiring inflationary enhancement or power spectrum manipulation.
Mathematically, this is captured via a modified density contrast evolution equation:
(r,t)rDH3a(t)\delta(r,t) \propto r^{D_H - 3} \cdot a(t)^\alpha
where >1\alpha > 1 in regions of high topological overlap (see Sec. III.4), allowing accelerated local growth of overdensities even when global expansion is modest. This leads to:
