high-lying mass spectrum threshold likely emerges at first as the colorless unitary SU ( N$_{c}$ ) states. The high thermal excitations modify the internal symmetry of the unitary Hagedorn states. Therefore, the continuous high-lying mass spectrum seems to have the feature to modify its own internal symmetry structure and subsequently the mass spectral exponent α . The difficulty to catch a clean signature of the explosive quark-gluon plasma can be traced to the multi-modifications (or transmutations) of the hadronic phase just below the deconfinement phase transition but above the Gross-Witten transition. Furthermore, the excited exotic matter that can be formed aftermath the proton-proton collisions at LHC can be traced to Gross-Witten phase transition from the low-lying mass spectrum to the Hagedorn states and the subsequent multiple phase transition processes at low baryonic density and high temperature. The breaking of the quark-gluon bag’s internal symmetry from the colorless SU ( N$_{c}$ ) state (i.e. color-singlet state) to the colored SU ( N$_{c}$ ) state (i.e. color-non-singlet state) requires much more energy than that is needed for the Hagedorn state to alter its internal symmetry from the colorless unitary state to the colorless orthogonal state and freeing gluonic jets to the medium due to the reduction in the number of adjoint degrees of freedom in the composite Hagedorn bags. In this sense, the colorless SU ( N$_{c}$ ) bags transmute to orthogonal ones and emit gluonic jets (due to the reduction of the adjoint degrees of freedom) and these jets decay to other (exotic) particles. The resultant colorless orthogonal bags under extreme hot nuclear matter may undergo a direct deconfinement phase transition to the quark-gluon plasma. In this case, the colorless orthogonal state is fully broken to the colored SU ( N$_{c}$ ) symmetry where the colored quarks and gluons are liberated to form deconfined quark-gluon plasma. Hence, it seems that the resultant Hagedorn phase which is dominated by colorless orthogonal quark-gluon bags explains the fluid properties such as the low viscosity for the quark-gluon plasma in the RHIC and possibly in the LHC. The possible explanation is that the effective orthogonal Vandermonde potential is weaker than the unitary one but it still acts as the Coulomb gas or gas of fluid droplets. On the other hand, it is possible to think about the coupling of various degrees of freedom such as the translation, color and flavor degrees of freedom when the nuclear matter is highly compressed. The translation invariance of the flavor quarks might be badly broken in the extreme dense nuclear matter. Hence, it is reasonable to assume that the color symmetry group partially merges with the translation and/or flavor symmetry group and the resulting color-flavor (or color-translation) degrees 46