On the strong coupling problem in cosmologies with “strong gravity in the past”

In this paper, we examine the potential strong coupling problem at early times in a bouncing cosmological model with “strong gravity past” (Jordan frame), which is conformally related to inflation (Einstein frame). From naive-dimensional analysis Jordan frame, one would conclude that quantum energy scale can be lower than classical scale. However, from Einstein frame prospective, should not case. We illustrate point by calculation shows cancellations of dangerous contributions tree level amplitude.