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.

中文翻译：

---

f(P) 引力的宇宙学意义

在框架内F(磷)引力，我们通过选择不同的模型来检验宇宙学参数的性质F(磷)来自参数化减速参数的哈勃参数过去、现在和未来纪元的重力。发现状态方程参数导致典型行为，其范围在不同约束的普朗克数据内。我们还研究了平方声速和热力学，以选择特定的常数。平方声速对应于可行的结果。同样，GSLT 的有效性也针对线性和非线性模型进行了研究。F(磷)理论。然而，热平衡条件对两者都成立F(磷)用于特定常数选择的模型。