论文标题
红外的普遍不确定性原理适用于LRS Bianchi I量子宇宙学
Infrared Generalized Uncertainty Principles Applied To LRS Bianchi I Quantum Cosmology
论文作者
论文摘要
我们提出了两个高阶普遍不确定性原理（GUP），这些原理（GUP）预测动量的最低不确定性，并将其所带来的Heisenberg代数的变形应用于LRS Bianchi I模型的相位空间的一半。在数值求解所得的Wheeler DeWitt方程之后，我们分析了解决方案，并提供了证据表明，量子重力的潜在IR效应可能在选择量子宇宙可以拥有的绝大部分可能的几何结构中发挥了作用。此外，我们提出了一个GUP，该GUP可以预测动量的最小不确定性和最大可测量的长度尺度，可以将其解释为固定的最大宇宙学范围。这项工作中包含的结果提供了进一步的激励措施，以研究高级GUP对量子宇宙学有什么影响，因此我们可以更好地了解量子重力如何影响宇宙学的演变。
We propose two higher order generalized uncertainty principles(GUPs) which predict a minimum uncertainty in momentum and apply the deformations that they entail of the Heisenberg algebra to one half of the phase space of the LRS Bianchi I models. After numerically solving the resultant Wheeler Dewitt equations we analyze our solutions and provide evidence that potential IR effects of quantum gravity could have played a role in selecting an overwhelmingly likely geometrical configuration that a quantum universe can possess. In addition we propose a GUP which predicts both a minimum uncertainty in momentum and a maximal measurable length scale which can be interpreted as a fixed maximum cosmological horizon. The results contained in this work provide further incentives to study what effects higher order GUP(s) have on quantum cosmology so we can obtain a better understanding of how quantum gravity could have impacted cosmological evolution.
