
TL;DR
This paper reviews how the Wheeler-De Witt equation can be applied to string cosmology models, exploring quantum transitions like tunneling that could describe the universe's birth from a string vacuum.
Contribution
It introduces a framework for analyzing quantum cosmological transitions in string theory using the Wheeler-De Witt equation, focusing on duality-related solutions.
Findings
Quantum tunneling can model the universe's birth from a string vacuum.
Duality-related solutions allow for quantum transitions between pre- and post-big bang phases.
The approach provides a quantum description of the universe's origin in string cosmology.
Abstract
We present a short review of possible applications of the Wheeler-De Witt equation to cosmological models based on the low-energy string effective action, and characterised by an initial regime of asymptotically flat, low energy, weak coupling evolution. Considering in particular a class of duality-related (but classically disconnected) background solutions, we shall discuss the possibility of quantum transitions between the phases of pre-big bang and post-big bang evolution. We will show that it is possible, in such a context, to represent the birth of our Universe as a quantum process of tunneling or "anti-tunneling" from an initial state asymptotically approaching the string perturbative vacuum.
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