论文标题
部分可观测时空混沌系统的无模型预测
Alternative $k=-1$ loop quantum cosmology
论文作者
论文摘要
$ K = -1 $ friedmann-Robertson-Walker模型的重力汉密尔顿限制的替代量化是通过独立处理欧几里得术语和洛伦兹术语的，模仿完整环路量子重力的处理。 $ k = -1 $模型的带有无数标量字段的汉密尔顿约束操作员已成功构建，并被证明具有校正后的经典限制。与文献中仅量化欧几里得术语的前者量化方案相比，具有无质量标量字段的$ k = -1 $模型的新量子动力学表明，经典的大键奇异性被不对称的量子反射代替。
An alternative quantization of the gravitational Hamiltonian constraint of the $k=-1$ Friedmann-Robertson-Walker model is proposed by treating the Euclidean term and the Lorentzian term independently, mimicking the treatment of full loop quantum gravity. The resulting Hamiltonian constraint operator for the $k=-1$ model with a massless scalar field is successfully constructed, and is shown to have the corrected classical limit. Compared to the former quantization schemes in the literature where only the Euclidean term is quantized, the new quantum dynamics of the $k=-1$ model with a massless scalar field indicates that the classical big-bang singularity is replaced by an asymmetric quantum bounce.
