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It is shown that if there are two distinct phase transition temperatures to the hadronic phase ( as is currently favoured), then QCD demands a condensation to a weakly interacting massive glueball. This glueball then becomes a natural candidate for the cosmological dark matter. Note that this does not involve any exotic extensions beyond the Standard Model of particle physics. In this revised version at the end of the paper I have added a new section called ADDENDUM which gives new arguments as to how this very heavy glueball can be stable and hence be a dark matter candidate.

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