Jupiter and Saturn have a fundamental link
to the degenerate (white) dwarfs and neutron stars: all
of these objects are supported against gravitational
collapse by a pressure generated through the Pauli
exclusion principle of quantum mechanics.  This pressure
is called degeneracy pressure, and it acts through electrons
in planets, brown dwarfs, and degenerate dwarfs, and through
neutrons and protons in neutron stars.  It's existence is
directly linked to existence of chemical elements with
distinctive properties.