Using the latest CMB data, the Mukhanov parametrization of the inflationary equation of state is viable only for 1.5 < α ≤ 2.2, and non-detection of gravitational waves by future missions would rule it out.
To confront the prediction of any inflationary model the above observable quantities are evaluated at the time of horizon crossing i.e
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Returning Back to Mukhanov Parametrization of Inflationary Equation of State
Using the latest CMB data, the Mukhanov parametrization of the inflationary equation of state is viable only for 1.5 < α ≤ 2.2, and non-detection of gravitational waves by future missions would rule it out.