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arXiv 0907.4057gr-qc
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不稳定各向异性圈量子宇宙学

Unstable Anisotropic Loop Quantum Cosmology

William Nelson, Mairi Sakellariadou

摘要:

在LQC的背景下,我们研究了描述对角Bianchi I模型量子动力学的完全哈密顿约束方程的稳定性条件。我们的分析表明,在显式实施的差分方程的不稳定性的强有力的证据,这意味着重要的后果之间的对应关系的完整的LQG理论和LQC。因此,人们可能会质疑量化方法的选择,晶格细化的模型和/或模糊参数的作用;所有这些原则上都应该由完整的LQG理论决定。

英文摘要:

We study stability conditions of the full Hamiltonian constraint equation describing the quantum dynamics of the diagonal Bianchi I model in the context of LQC. Our analysis has shown robust evidence of an instability in the explicit implementation of the difference equation, implying important consequences for the correspondence between the full LQG theory and LQC. As a result, one may question the choice of the quantisation approach, the model of lattice refinement, and/or the role of the ambiguity parameters; all these should in principle be dictated by the full LQG theory.

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