While AdS/CFT provides mathematical rigor and physical motivation, our cosmological model does not presuppose a strict AdS boundary. Instead, the core idea of duality between boundary data and bulk geometry is generalized to cosmological settings with evolving and possibly layered topologies.
The proposed framework leverages this insight by introducing:
Effective boundary fields boundary(x)\Phi_\text{boundary}(x^\mu) that interfere and encode cross-layer coupling,
Phase correlations (x)\theta(x^\mu) that modulate vacuum fluctuations and curvature gradients,
Nested holographic screens, each representing a quasi-causal domain encoding the statistical and geometric information of the internal region.
Together, this formulation provides the theoretical infrastructure for a holographically mediated cosmogenesis and the observable variability of fundamental cosmological parameters across space and time.
B. Quantum Tunneling Genesis: Early Universe as a Layered Quantum Bubble
The origin of the Universe remains one of the deepest mysteries in modern physics. Traditional Big Bang cosmology, while successful in explaining many features of the cosmos, faces fundamental challenges in addressing the initial singularity and the precise emergence of spacetime from quantum conditions. In this context, the quantum tunneling genesis paradigm provides an alternative route: the Universe as a quantum fluctuation transitioning through a tunneling process from a pre-geometric or meta-stable vacuum state.
1. Beyond the Classical Singularity
Conventional cosmology begins with a singularity---an undefined point of infinite density and curvature---where classical general relativity breaks down. Quantum cosmology attempts to resolve this by treating the early Universe as a quantum object described by a wavefunction of the Universe, such as in the Hartle-Hawking no-boundary proposal or the Vilenkin tunneling-from-nothing hypothesis.
In our proposed model, the genesis event is framed as a quantum tunneling transition through an effective potential barrier separating a pre-universe quantum vacuum state from a classically allowed expanding cosmological domain. This process resembles instanton-like solutions in Euclidean quantum gravity, where time is analytically continued to permit a smooth "bounce" or "blink" from nonexistence to spacetime.
