In this paper, we discuss about the possibility to enhance the tensor-to-scalar ratio $r$ under the condition of Trans-Planckian censorship conjecture (TCC), thus $r\sim O(10^{-3})$ could be observable within the sensitivity of future experiments. We make use of the scalar-tensor theory where inflaton is nonminimally coupled to gravity. After demonstrating that the TCC condition could be modified in scalar-tensor theory, we show that due to the effects of modified gravity at the end of inflation, a large $r\sim O(10^{-3})$ could be allowed without violating the TCC. Moreover, the modification can give rise to a weak coupling of gravity to the inflation field. If such an effect have been present as early as inflation starts, it would imply that in our case, the Universe might have experienced an asymptotically safe period at its early time.

中文翻译：

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反对标量张量理论中的跨普朗克审查制度的大 r？

在本文中，我们讨论了在跨普朗克审查猜想 (TCC) 条件下提高张量与标量比 $r$ 的可能性，因此 $r\sim O(10^{-3})$ 可以在未来实验的灵敏度范围内可以观察到。我们利用标量张量理论，其中暴胀子与重力非最小耦合。在证明可以在标量张量理论中修改 TCC 条件之后，我们表明，由于在膨胀结束时修改重力的影响，可以允许大 $r\sim O(10^{-3})$在不违反 TCC 的情况下。此外，这种修改会导致重力与膨胀场的弱耦合。如果这种效应早在暴胀开始时就存在，则意味着在我们的情况下，宇宙可能在其早期经历了渐进安全期。