Effect of a q-deformed and modified Lane-Emden parameters on the radius of white dwarf

Abstract

This study examines how q-deformation and adjustments to the Lane-Emden parameter influence the structural properties of white dwarfs, especially their radii. We start by deriving the Fermi energy for electrons confined in a three-dimensional box to establish the fundamental physics of white-dwarf interiors. The stellar radius is then calculated using the classical Lane-Emden equation and re-evaluated with a q-deformed and modified Lane-Emden formulation. Comparative analysis shows how q-deformation changes the governing equilibrium equations and, in turn, the predicted white-dwarf radii. The findings highlight the importance of q deformed statistics in shaping the internal structure of compact stars and offer deeper insights into potential deviations from standard models.