The radii of degenerate dwarfs and of neutron stars
are fundamentally linked to the fundamental constants
of physics.  The neutron star is about the size of
a black hole of comparable mass.  The degenerate dwarf,
on the other hand, has a radius that is of order 2,000 times
larger.  This difference in radius is a direct consequence
of the proton being more massive than the electron by this
factor.  The mass of the proton sets the absolute scale
for these objects.  The radius of the neutron star is of
order 15 km, and the radius of the degenerate dwarf
is comparable to Earth's.