  Various experiments and observations have led researchers to suggest
different bounds on fundamental constants like the fine-structure constant and
the proton-to-electron mass ratio. These bounds differ mostly due to the energy
scale of the systems where the experiments are performed. In this article, we
obtain bounds on these parameters in the modified gravity context using the
Gaia-DR2 massive white dwarf data and show that the bounds alter as the gravity
theory changes. This exploration not only indicates strong support for
non-negligible influences of modified gravity in astrophysical scenarios in
high-density regimes but also reveals that the bounds on fundamental parameters
can be much stronger under alternate gravity theories.

General Relativity and Quantum Cosmology;High Energy Astrophysical Phenomena;Solar and Stellar Astrophysics