Sconfig=ipilogpi\mathcal{S}_{\text{config}} = - \sum_i p_i \log p_i
Subject to normalization and energy constraints, the blink corresponds to a spontaneous local minimum of Sconfig\mathcal{S}_{\text{config}}, yielding a configuration with sufficient order to admit classical geometry.
This informational approach bridges quantum tunneling with entropic emergence, positioning the blink not just as a quantum fluctuation, but as an entropically favorable condensation of spacetime.
5. Observational Implications
Though inherently non-observable in its genesis, the Blink mechanism has testable consequences in later evolution:
Suppression of initial singularities, allowing cosmological bounce or smooth transition from Euclidean to Lorentzian metrics.
Spectrum of initial conditions across blink events, leading to layered Hubble values and anisotropies (see II.2).
Residual entanglement or nonlocal correlations between blink-generated layers, potentially contributing to CMB anomalies and cosmic parity asymmetries.
In summary, the Quantum Blink Genesis model proposes that our universe---and potentially many others---emerged via tunneling-like transitions from a pre-geometric informational substrate. This approach synthesizes instanton physics, entropy-based emergence, and multievent cosmogenesis into a unified, probabilistic framework that avoids initial singularities and seeds the structural basis for the Multilayer Multiverse.
II.2. Multilayered Topological Architecture
In this section, we formalize the Multilayer Multiverse as a generalization of standard FRW cosmology, proposing that spacetime is not a single connected manifold, but instead a stacked or layered structure---each "layer" corresponding to a distinct universe-like region with its own effective cosmological parameters. This structure aims to explain large-scale anomalies such as cosmic isotropy violations, Hubble tension, and directional anisotropies by introducing a topologically connected but metrically nonuniform framework.
1. From FRW to Layered Metrics
Standard Friedmann--Robertson--Walker (FRW) spacetime assumes homogeneity and isotropy across a single smooth manifold, with the line element:
ds2=dt2+a2(t)[dr21kr2+r2d2]ds^2 = -dt^2 + a^2(t)\left[\frac{dr^2}{1 - k r^2} + r^2 d\Omega^2\right]
