论文标题
具有非交通性的经典和量子双色学
Classical and quantum bicosmology with noncommutativity
论文作者
论文摘要
最近，Falomir，Gamboa，Mendez，Gondolo和Maldonado提出了一种双色场景[1-4]，用于解决与通货膨胀，暗物质和宇宙热历史有关的一些宇宙学问题。他们的计划是将非交通性引入两个量表因素的动量空间。在本文中，我们对其模型进行了重新审视，并首先考虑模型中的精确经典解决方案，并在动态变量和规范矩之间具有恒定的非交换性。我们还假设，当尺度因子很小时，非交通性出现，并以动量空间的非交通性显示经典解决方案的行为。最后，我们在这种情况下写下Wheeler-Dewitt方程，并检查解决方案的行为。
Recently, Falomir, Gamboa, Mendez, Gondolo and Maldonado proposed a bicosmology scenario [1-4] for solving some cosmological problems related to inflation, dark matter, and thermal history of the universe. Their plan is to introduce noncommutativity into the momentum space of the two scale factors. In the present paper, we revisit their model and first consider exact classical solutions in the model with constant noncommutativity between dynamical variables and between canonical momenta. We also hypothesize that the noncommutativity appears when the scale factors are small, and show the behavior of the classical solution in that case with momentum-space noncommutativity. Finally, we write down the Wheeler-DeWitt equation in that case and examine the behavior of the solution.
