超弦理论中的宇宙波函数

WAVE FUNCTION OF THE UNIVERSE IN THE SUPERSTRING THEORY

本文讨论了超弦理论中的宇宙波函数，使用Ｖｉｌｅｎｋｉｎ的边界条件，我们得到了膨胀子场Ｄ的值给定时宇宙标度因子α的几率分布．我们还得到了宇宙自发成核时，经典宇宙的标度因子的最小值为Ｐｌａｎｃｋ长度的数量级，这说明量子效应能阻止宇宙塌缩到奇点．

Wave function of the universe in the superstring theory is discussed and using Vilenkin’s boundary condition we obtain the probability density for the scale factor a at a given value of the dilaton field D. It is shown that when the universe spontaneously nucleates, the minimum value of the scale factor of the classical universe is of the order of Planck length, i.e. the quantum effects can prevent the universe from collapsing to a singular point.