标题： 标量和张量原初扰动通过修改色散关系产生的压缩 显示英文标题

标题： Squeezing of scalar and tensor primordial perturbations generated by modified dispersion relations

摘要： 在最近的工作中，我们分析了满足普朗克尺度修正色散关系的原初扰动，并表明在产生具有尺度不变谱的扰动的关键模型中，没有宇宙学“压缩”现象。 尽管如此，由于动量模在晚期时间的衰减，扰动以正确的时序相位重新进入视界，作为驻波。 在这里，我们通过在对偶彩虹框架中重新审视这个问题来阐明原初压缩的缺失，在该框架中$c$被设为 1，将变化的$c$效应转移到其他地方。 在此框架中，引力在亚普朗克波长下关闭，因此涨落的行为就像它们处于闵可夫斯基时空一样。 这就是它们没有被压缩的原因。 然而，远离关键模型时，如果涨落谱是红的，就会发生压缩，这正是标量扰动的情况。 如果原初引力波具有蓝谱，我们预测它们可能不会以驻波的形式重新进入视界，因为动量模在原初阶段会被增强。 显示英文摘要

摘要： In recent work we analyzed the evolution of primordial perturbations satisfying Planck-scale-modified dispersion relations and showed that there is no cosmological "squeezing" in the critical model that produces perturbations with a scale invariant spectrum. Nevertheless, the perturbations reenter the horizon as standing waves with the correct temporal phase because of the late-time decay of the momentum mode. Here we shed light on the absence of primordial squeezing by re-examining the problem in the dual rainbow frame, where $c$ is set to 1, shifting the varying $c$ effects elsewhere. In this frame gravity switches off at sub-Planckian wavelengths, so that the fluctuations behave as if they were in Minkowski spacetime. This is ultimately why they are not squeezed. However, away from the critical model squeezing does occur if the fluctuations spectrum is red, as is the case for scalar perturbations. Should the primordial gravity waves have a blue spectrum, we predict that they might not reenter the horizon as standing waves, because the momentum mode would be enhanced in the primordial phase.