Cosmological implications in f(P) gravity

In the framework of f(P) gravity, we examine the nature of cosmological parameters by choosing different models of f(P) gravity at past, present as well as future epoch for Hubble parameter from parameterized deceleration parameters. It is found that equation of state parameter leads to quintessence behavior and its ranges lie within Planck data for different constraints. We also study the squared sound speed and the thermodynamics for specific choice of constants. The squared sound speed corresponds to the viable results. Similarly, the validity of GSLT is also investigated for both linear and nonlinear models of f(P) theory. However, the thermal equilibrium condition holds for both f(P) models for specific choice of constants.