标题： 普朗克质量的量子扩散与宇宙的演化 显示英文标题

标题： Quantum Diffusion of Planck Mass and the Evolution of the Universe

摘要： 宇宙的进化理论需要同时具备突变机制和选择机制。 我们提出，在量子宇宙学的随机方法中可以同时遇到这两种机制。 在布兰斯-迪克 chaotic inflation 模型中，普朗克质量的量子涨落充当突变，使得新的暴胀区域可能包含与父区域略有不同的普朗克质量值。 选择机制确立了普朗克质量的值应能够增加暴胀区域的固有体积，从而产生更多的后代。 对于一般的混沌势能，我们发现趋向于暴胀场和稀释场大值的逃逸概率分布。 因此，该机制预测有效普朗克尺度应远大于问题中的任何给定尺度。 显示英文摘要

摘要： A theory of evolution for the Universe requires both a mutation mechanism and a selection mechanism. We propose that both can be encountered in the stochastic approach to quantum cosmology. In Brans--Dicke chaotic inflation, the quantum fluctuations of Planck mass behave as mutations, such that new inflationary domains may contain values of Planck mass that differ slightly from their parent's. The selection mechanism establishes that the value of Planck mass should be such as to increase the proper volume of the inflationary domain, which will then generate more offsprings. For generic chaotic potentials we find runaway probability distributions that move towards large values of both inflaton and dilaton fields. Therefore, this mechanism predicts that the effective Planck scale should be much larger than any given scale in the problem.