Elementary particle phase transitions in the very early universe

A theory is presented which shows that if the initial entropy is chosen small enough, a maximum temperature and a minimum radius for the very early universe is fixed. It is found that the restoration of elementary particle symmetry at high temperatures induces a huge cosmological constant (vacuum energy density) which exceeds the thermal energy density if the Higgs meson mass is small enough. A low initial entropy for the universe prevents any initial cosmological singularity and prevents massive monopole production in the initial GUTS phase transition.