In a Bohmian quantum cosmology scenario, we investigate some quantum effects on the evolution of the primordial universe arising from the adoption of an alternative non-trivial ordering to the quantization of the constrained Hamiltonian of a minimally coupled scalar field. The Wheeler-DeWitt equation has a contribution from the change in factor ordering, hence there are new quantum effects. We compare the results between the non-trivial and the trivial ordering cases, showing that the classical limit is valid for both orderings, but new bouncing and cyclic solutions are present in the non-trivial case. Additionally, we show that the non-singular solutions already present in the trivial ordering formalism keep valid.

中文翻译：

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弹跳和循环量子原始宇宙和排序问题

在波姆量子宇宙学场景中，我们研究了对原始宇宙演化的一些量子效应，这些效应是由于采用替代的非平凡排序来量化最小耦合标量场的约束哈密顿量。Wheeler-DeWitt 方程对因子排序的变化有贡献，因此出现了新的量子效应。我们比较了非平凡和平凡排序情况之间的结果，表明经典限制对两种排序都有效，但在非平凡情况下存在新的弹跳和循环解决方案。此外，我们证明了平凡排序形式中已经存在的非奇异解仍然有效。