Emergence of [Formula: see text] inflation, which is the best fit framework for CMB observations till date, comes from the attempts to attack the problem of quantization of gravity which in turn have resulted in the trace anomaly discovery. Further developments in trace anomaly and different frameworks aiming to construct quantum gravity indicate an inevitability of nonlocality in fundamental physics at small time and length scales. A natural question would be to employ the [Formula: see text] inflation as a probe for signatures of nonlocality in the early Universe physics. Recent advances of embedding [Formula: see text] inflation in a string theory inspired nonlocal gravity modification provide very promising theoretical predictions connecting the nonlocal physics in the early Universe and the forthcoming CMB observations.

中文翻译：

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解析无限导数引力、类 R2 膨胀、量子引力和 CMB

[公式：见正文]暴胀的出现是迄今为止最适合CMB观测的框架，它来自于试图解决引力量子化问题的尝试，而这反过来又导致了轨迹异常的发现。迹异常和旨在构建量子引力的不同框架的进一步发展表明，在小时间和长度尺度上，基础物理学中的非定域性是不可避免的。一个自然的问题是使用[公式：见文本]暴胀作为早期宇宙物理学中非定域性特征的探测。在弦理论中嵌入[公式：见文本] 膨胀的最新进展激发了非局域重力修正，提供了非常有希望的理论预测，将早期宇宙中的非局域物理学与即将到来的 CMB 观测联系起来。