5. Information-Theoretic Ground State and Boundary Conditions
We reinterpret the "nothing" from which the universe blinks into existence as an informational vacuum state, characterized by:
I=0,I>0spacetime genesis\mathcal{I} = 0, \quad \delta \mathcal{I} > 0 \Rightarrow \text{spacetime genesis}
Here, I\mathcal{I} represents the total encoded information functional, and any fluctuation above zero leads to emergence of space, time, and energy.
Boundary conditions are imposed in line with the no-boundary proposal:
(a=0) is regular and finite(a)exp(SE(a)/)\Psi(a=0) \ \text{is regular and finite} \quad \Rightarrow \quad \Psi(a) \propto \exp\left(- S_E(a)/\hbar \right)
6. Implication for "Blink" Universes
This quantum-tunneling framework implies that:
Universes may nucleate as quantum blinks, without singularities or external time parameters.
The quantum potential encodes information-curvature tension, leading to emergent geometry.
Multiverse creation is permitted via repeated tunneling events, each characterized by different V()V(\phi), yielding a distribution of \Lambda, HH, and topologies.
These blinks serve as the seeds of the Multilayer Multiverse described in Section II.2, each layer corresponding to a branch of a successful tunneling trajectory.
We have formulated a Quantum Blink Genesis model in which the universe emerges through quantum tunneling from an informational vacuum. The inclusion of a quantum potential term derived from Bohmian mechanics regularizes the tunneling barrier, allows a non-singular origin, and provides an explicit tunneling probability via a Euclidean action integral. This framework unifies instanton-like behavior, no-boundary conditions, and information fluctuation theory into a coherent narrative for spacetime genesis.
III.3. Fractal Matter Distribution Function
