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There are many possibilities of scenarios in the early universe, which cangive rise to the same observational signals due to the degeneracy among eachother, caused by equivalence under the conformal transformations. In order tobreak the degeneracy, in this paper we take into account the so-called"frame-invariant variables" proposed by A. Ijjas and P. J. Steinhardt in\cite{Ijjas:2015zma}. We discuss how the different scenarios will distribute indifferent parametric space constructed from those variables, waiting for thejudgement of real observations in the future. Several concrete models withexplicit non-minimal coupling functions are also discussed.

Towards degeneracy breaking of early universe models