where QDQ_D is the kinematical backreaction term. In fractal-void configurations, QD>0\langle Q_D \rangle > 0 and RD<0\langle R_D \rangle < 0, driving eff\Lambda_{\text{eff}} toward natural suppression.
3. Fractal Volume Scaling and Vacuum Dilution
A universe with fractal dimension DH<3D_H < 3 implies that true volumetric contribution to the energy density scales as:
Veff(r)rDHV_{\text{eff}}(r) \sim r^{D_H}
Thus, the contribution of zero-point energy or vacuum fluctuations is effectively "diluted" due to the reduced effective dimensionality of space at large scales. For instance, if DH2.2D_H \approx 2.2, then:
,effr0.8for large r\rho_{\Lambda, \text{eff}} \sim \frac{\rho_{\Lambda}}{r^{0.8}} \quad \text{for large } r
This creates a dynamic suppression without invoking fine-tuning or anthropic arguments. The universe behaves as if the vacuum energy is smaller because the fractal structure redistributes and reweighs contributions spatially.
4. Topological Phase Cancellation
The layered quantum-interfering spacetime structure (Sec. III.4 and IV.3) further contributes to vacuum suppression via phase cancellation:
Vacuum contributions from adjacent layers with out-of-phase topological fields cancel each other partially,
The integral over interf(x)ei(x)d4x\Phi_{\text{interf}}(x) \sim \int e^{i\theta(x)} d^4x exhibits destructive interference over large scales, especially in high-void regions where phase coherence is minimal.
This leads to a self-canceling vacuum structure, where only residual energy from imperfect phase mismatch survives as an effective cosmological constant.
5. Quantitative Matching to Observed \Lambda
