This thesis was carried out under the supervision of Prof. S. Somorendro Singh in partial fulfillment of the requirements for the degree of Master of Science in Physics at the Department of Physics and Astrophysics, University of Delhi.

Quark matter inside the cores of neutron stars exists as a quark-gluon plasma. This study investigates the Equation of State (EoS) of such matter using the Density Dependent Quark Mass (DDQM) Model, an extension of the MIT Bag Model, to better understand the internal structure and behavior of neutron stars.

• Compute EoS parameters using numerical methods
• Evaluate thermodynamic quantities:
  • Pressure
  • Energy density
  • Entropy
  • Specific heat
  • Speed of sound
• Use Gauss-Legendre Quadrature for numerical integration
• Use the Central Difference Method for numerical differentiation
• Compare results with lattice QCD data and curvature data

To run this project locally, ensure the following Python libraries are installed:

pip install numpy pandas matplotlib scipy astropy

Clone this repository and open the Jupyter notebook named Dissertation-.ipynb. Run the notebook cells in sequence to follow the full data analysis and visualization pipeline.

• Incorporate deep learning models to compute key thermodynamic quantities such as:
  • Number density
  • Quark number susceptibility
  • Taylor expansion coefficients of the Gibbs potential
• Extend the DDQM model by including temperature dependence in addition to density.
• Compute radial oscillations of neutron star to understand their stability.

• July 15- Successfully produced the thermodynamic computations using the TensorFlow framework for improved numerical performance.
• Nov 22- Successfully computed the QCD Phase structure parameters, number density, susceptibility, and second, fourth, and sixth order taylor expansion coefficients

I am actively seeking collaborators or mentors with experience in:

• Physics-informed neural networks (PINNs)
• Lattice QCD + ML hybrid approaches
• Scientific ML for high-energy/astrophysical systems

If you're interested in collaborating, mentoring, or have suggestions, feel free to reach out @ my socials:

• Email: khatri.anisha20@gmail.com
• LinkedIn: Anisha Khatri