  We discuss a unified model of quark confinement and new cosmic expansion with
linear potentials based on a general $(SU_3)_{color} \times (U_1)_{baryon}$
symmetry. The phase functions in the usual gauge transformations are
generalized to new `action integrals'. The general Yang-Mills transformations
have group properties and reduce to usual gauge transformations in special
cases. Both quarks and `gauge bosons' are permanently confined by linear
potentials. In this unified model of particle-cosmology, physics in the largest
cosmos and that in the smallest quark system appear to both be dictated by the
general Yang-Mills symmetry and characterized by a universal length. The basic
force between two baryons is independent of distance. However, the cosmic
repulsive force exerted on a baryonic supernova by a uniform sphere of galaxies
is proportional to the distance from the center of the sphere. The new general
Yang-Mills field may give a field-theoretic explanation of the accelerated
cosmic expansion. The prediction could be tested experimentally by measuring
the frequency shifts of supernovae at different distances.
