A certain approach to solving the Wheeler-DeWitt equation in quantum cosmology, based on a type of super-selection rule by which negative frequency solutions are discarded, is discussed. In a preliminary analysis: we recall well-known results in relativistic quantum field theory, showing that adopting this approach of super-selection by discarding a sector of the frequencies does not lead to acceptable results. In the area of quantum cosmology, a qualitatively similar result is obtained: we show that by discarding solutions with negative frequencies, which is usually done in order to demonstrate “strong” results on the resolution of the singularity, important physical processes are lost, namely, the existence of cyclic solutions, which, under certain reasonable assumptions, can be interpreted as processes of creation-annihilation at the Planck scale that are typical of any relativistic quantum field theory.

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量子宇宙学中有超选择规则吗？

讨论了一种基于抛弃负频率解的超选择规则，解决量子宇宙学中的Wheeler-DeWitt方程的方法。在初步分析中：我们回顾了相对论量子场论中的众所周知的结果，表明通过放弃频率的一个扇区而采用这种超选择方法不会导致可接受的结果。在量子宇宙学领域，获得了定性相似的结果：我们表明，通过舍弃负频率的溶液（通常是为了证明奇异性的分辨率得到“强有力”的结果），就会失去重要的物理过程，即，存在循环解，在某些合理的假设下，