Initial conditions in a higher-dimensional cosmology that can achieve our present universe are investigated. In the "hot big bang" scenario, this happens if, when the universe enters the low temperature regime (T< 1 b; b is the scale length of the internal space), some scalar field σ in the theory is less than a critical value σcr. In the model of the quantum creation of the universe, it is found that most of the created universes can reach our present universe. These results are observed in both the Candelas-Weinberg model (the SD-compactification due to the Casimir effect) and the Calabi-Yau compactification of a superstring model with SUSY breaking potential due to gaugino condensation.
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