Cosmic and thermodynamics consequences of Chaplygin–Jacobi corrected HDE model

Abstract

In this study, we investigate a cosmologically compatible model of the universe using the generalized Chaplygin–Jacobi gas framework. The holographic generalized Chaplygin–Jacobi gas model presents an advanced approach to analyzing dark energy behavior and its role in cosmic evolution. This model brings together ideas from holographic dark energy, generalized Chaplygin gas and Jacobi gas theories. We assume that dark energy sources can be described as generalized Chaplygin–Jacobi gas, associating the Hubble horizon with the Chaplygin scalar field and incorporating specific elliptic identities. In this context, we explore the equation of state parameter, $\omega -{\omega }^{\prime }$ plane and $Om$ diagnostics. To assess model stability, we analyze the squared speed of sound and examine the validity of the generalized second law of thermodynamics/thermal condition. Additionally, we evaluate the model’s energy density and pressure to compare its correspondence with the Chaplygin scalar field model. Overall, our findings suggest that the constraints align well with current observational data.