标题： 量子几何表述的Bianchi I时空的Brans-Dicke理论 显示英文标题

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

摘要： 本文研究了Jordan框架下Brans-Dicke理论中的Bianchi I时空，并结合了有效环量子引力的框架。在推导出一般公式后，我们使用两种常见的量子化方案分析了由于量子几何效应导致的经典奇点解析的鲁棒性。然后我们比较了由此产生的物理性质。我们发现这两种方案都用规则的量子反弹替换了经典奇点。值得注意的是，与基于广义相对论的类似研究相比，我们发现Bianchi I时空中三个方向的尺度因子都会增加，在量子反弹之后，它们达到的值接近初始值，从而在两种方案中都与经典时空合并。 显示英文摘要

摘要： This paper investigates Bianchi I spacetimes within the Jordan frame of Brans-Dicke theory, incorporating the framework of effective loop quantum gravity. After developing general formulas, we analyze the robustness of classical singularity resolution due to quantum geometric effects using two common quantization schemes. We then compare the resulting physical properties. We find that both schemes replace classical singularities with regular quantum bounces. Notably, in contrast to similar studies based on general relativity, we find that all three directional scale factors of the Bianchi I spacetimes increase and after the quantum bounce they reach values similar to their initial values, leading to a merging with classical spacetimes in both schemes.