Entropy based Model Independent Diagnostic to Discriminate Dark Energy

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe. By analyzing the entropy measure over cosmic time, we can uncover distinct patterns and trends that differentiate constant and dynamical dark energy scenarios. By analyzing the entropy measure over cosmic time, we reveal distinctive patterns and trends that differentiate constant dark energy, such as the cosmological constant, from dynamical dark energy scenarios. Our findings demonstrate the effectiveness of entropy as a powerful tool to distinguish between these two classes of dark energy models, providing valuable insights into the nature of cosmic acceleration and advancing our understanding of the fundamental physics driving the universe's evolution. By deriving an entropy measure from the cosmic expansion history, we present a novel approach to distinguish between various dark energy scenarios. We establish the mathematical framework, analyze the behavior of the entropy measure for constant and dynamical dark energy models, and discuss the implications of our findings for deepening our understanding of the nature of dark energy

Unified Lagrangian for Tachyon, Quintessence, and Phantom Scalar Fields

This paper presents a novel unified Lagrangian density that combines the behaviors of tachyon, quintessence, and phantom scalar fields within the realms of theoretical physics and cosmology. The unified Lagrangian is formulated, where $f(\alpha)$ is a function that accommodates different scenarios and captures the distinct characteristics of these scalar fields. The potential function $V(\phi)$ is incorporated to account for the specific properties of the scalar fields. The study employs numerical simulations in Python to thoroughly analyze the dynamics of the scalar fields for various $\alpha$ values, investigating the cosmological behavior

Unified Lagrangian for Canonical and Non-Canonical Scalar Field

We proposed a generalized Lagrangian for three different classes of scalar fields namely quintessence($\alpha =-1$), phantom($\alpha =0$), and tachyonic ($\alpha =1$) parameterized by $\alpha$. These three scalar fields can be described by a common single Lagrangian called generalized scalar field Lagrangian and corresponding scalar field termed as generalized scalar field. We obtain mathematically consistent forms of generalized equations of motion from which individual equations of motion of quintessence, phantom, and tachyon can be recovered

Behavior of Various Scalar Field Potentials under Tracking Parameters of Quintessence Class of Scalar Field Models

Scalar field models are known for their dynamic nature, i.e., dynamic equations of state parameters to explain the late-time cosmic acceleration of the universe. The quintessence canonical scalar field with a potential is one such field which has been introduced to account for the late time acceleration of the universe. In the present work, different kinds of scalar field potentials (under the quintessence cosmological model) are mathematically investigated using tracking parameters to examine whether these potentials show thawing or tracking behavior. Tracking parameters are considered because during cosmic evolution the dynamics of tracking depend on the variation of this particular parameter. Each potential is analyzed using this parameter and accordingly the behavior is shown. It is found that among the four potentials used, three show tracking properties and only one is shows the thawing property as per the tracking parameter. The tracking and thawing properties/behavior are discussed in the Results and Discussion sections of the paper