论文标题

来自量子反弹的模棱两可的功率谱

Ambiguous power spectrum from a quantum bounce

论文作者

Martin, Jaime de Cabo, Małkiewicz, Przemysław, Peter, Patrick

论文摘要

量子宇宙弹跳模型可能表现出源于背景进化的非经典性质的歧义:两种经典等效的理论可以产生两个定性不同的潜力,从而采用了扰动。我们明确得出涉及量子背景的量子规范变换,以显示其如何导致不相等的理论。我们通过计算两个电势的合同阶段中初始量子真空波动产生的预期功率谱来确定描述差异的相关量子参数并扩大歧义。我们发现一个频谱索引对应于该参数的所有值,但一个光谱索引对应于一个频谱索引,而另一个则表示一组度量零。

A quantum cosmological bouncing model may exhibit an ambiguity stemming from the nonclassical nature of the background evolution: two classically equivalent theories can produce two qualitatively different potentials sourcing the perturbations. We derive explicitly the quantum canonical transformation involving the quantum background to show how it leads to inequivalent theories. We identify the relevant quantum parameter describing the difference and expand upon the ambiguity by calculating the expected power spectra produced for initial quantum vacuum fluctuations in the contracting phase of both potentials. We find that one spectral index corresponds to all values of this parameter but one, while the other thus represents a set of measure zero.

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