标题： 布兰斯-迪克理论的量子几何表述用于 Bianchi I 宇宙时空 显示英文标题

标题： Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime

摘要： 我们考虑在环量子引力框架下，布兰斯-迪克理论在乔丹框架中对Bianchi-I时空的表述。通过文献中通常使用的两种量子化方案，明确验证了由于量子效应导致的奇点解析的鲁棒性。我们探讨了量子几何对背景动力学的影响，并通过一些具体的数值例子加以说明，展示了奇点的不存在。 显示英文摘要

摘要： We consider a formulation of the Brans-Dicke theory in Jordan's frame for Bianchi-I spacetime within the framework of loop quantum gravity. The robustness of singularity resolutions due to the quantum effects is explicitly verified in the context of two quantization schemes typically used in the literature. We present an exploration of the effects of quantum geometry on the background dynamics, which is also illustrated through some explicit numerical examples and showing the absence of the singularity.