One of the most longstanding and profound puzzles in cosmology is the observed smallness of the cosmological constant \Lambda, which is over 120 orders of magnitude lower than nave estimates from quantum field theory. In the framework of our unified model---consisting of Blink Genesis, a Multilayered Topological Architecture, and a Fractal Cosmic Geometry---we show that this discrepancy can be naturally alleviated via emergent effective suppression mechanisms derived from large-scale cosmic topology and internal matter geometry.
1. Effective \Lambda from Spacetime Averaging over Fractal-Voided Geometry
We begin by recognizing that in an inhomogeneous universe with complex internal structure, the Einstein field equations do not straightforwardly average over local regions:
GG(g)\langle G_{\mu\nu} \rangle \neq G_{\mu\nu}(\langle g_{\mu\nu} \rangle)
In our proposed model, the fractal matter distribution and layered void topology break the assumptions underlying global isotropy and homogeneity. This implies that the vacuum energy perceived at large scales is not the fundamental vacuum energy but a coarse-grained effective eff\Lambda_{\text{eff}} arising from spacetime averaging over nested structures:
eff=1VV(bare+topo(x)+frac(x))d4x\Lambda_{\text{eff}} = \frac{1}{V} \int_{V} \left( \Lambda_{\text{bare}} + \delta \Lambda_{\text{topo}}(x) + \delta \Lambda_{\text{frac}}(x) \right) \, d^4x
Here:
topo(x)\delta \Lambda_{\text{topo}}(x) accounts for topological interference effects from inter-layer phase structures (as in Sec. III.4),
frac(x)\delta \Lambda_{\text{frac}}(x) arises from density non-uniformity and fractal dimension variations, producing cancellation-like behavior due to destructive phase overlap and internal self-similarity.
2. Void-Induced Decorrelation of Vacuum Contributions
Building upon simulations of void evolution (Sec. IV.1), we note that:
Void regions, especially those on gigaparsec scales, dominate the comoving volume of the universe,
The gravitational backreaction in these underdense regions contributes negatively to the averaged Ricci scalar R\langle R \rangle, leading to an effective reduction of global curvature and hence vacuum energy density.
Using the formalism from Buchert averaging (extended for layered topology), we find:
effbare12QD+RD\Lambda_{\text{eff}} \approx \Lambda_{\text{bare}} - \frac{1}{2} \langle Q_D \rangle + \langle R_D \rangle
