Generalized Exponential (Euler-Type) Inequality in Neutron Star Physics: Theoretical and Empirical Insights

This article develops and applies the generalized exponential (Euler-type) inequality as a unifying tool for modeling the complex internal structure of neutron stars. Using empirical data and theoretical frameworks from recent astrophysical research, we demonstrate that the inequality robustly holds for a wide variety of physical parameters within neutron stars, such as density, pressure, temperature, energy density, chemical composition, and magnetic field strength. The implications for understanding neutron star stability, equation of state (EoS), phase transitions, and observable phenomena are discussed in detail. Connections to contemporary research and the limits of classical inequalities in extreme astrophysical environments are also addressed.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this workl