On the one hand, one cosmological theory indicated that the primordial state of the universe is a physical configuration of quantum chromodynamics (QCD) called quark-gluon plasma (QGP). QGP is a quantum state of free fermions, mostly quarks, with gluons to hold them together at extremely high temperature and density, which really suggesting extremely high kinetic energy. On the other hand, at extremely low temperature, another quantum state of matter begins to emerge. This process is called Bose-Einstein condensation (BEC). Similar to one phenomenon of superconductivity (formations of Copper pairs), the pairing of fermions of like electric charges as well as opposite charges begin to form a state of bosons of BEC, which really suggesting extremely high potential energy.


The existence of Both QGP and BEC has been predicted by the Standard Model of elementary particles (mainly along the predictions of QCD) and verified by high energy experiments using particle accelerators at CERN and at other facilities around the world. Their distinctive conditional differences are: QGP requires extremely high kinetic energy (extremely high temperature), while BEC requires extremely high potential energy (extremely low temperature). The present state of the universe more or less exhibits both extreme conditions. One can be found within the centers of stellar systems (note that these stellar systems were observed by astronomical radio telescopes to have a large-scale nonuniform string-like distributions), while the other can be found permeating the continuity of the vacuum. For the universe as a whole, the big-bang signifies a perfect state of QGP while the heat death signifies a perfect state of BEC. Taken altogether as the space-time continuum, the former is the beginning while the latter is the end of the physical universe. Both extremes at both ends linearly represent what cannot be broken. Nonetheless, a quantum theory of the space-time continuum would unify QGP and BEC simply by indicating shared periodic or cyclic Möbius topologies. Without a principle of directional invariance, the two fundamental topologies of H-plus and H-minus truly represent what cannot be broken for comprehending the true quantum states of physical reality.