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Since the discovery of the strict second-order-delta-vector (magnetic moment)(SODV) theory of Gennes n = 0, the theoretical community has been searching forSODVs that can evolve from complex glass states to biomolecular systems. In thetheoretical study of the abnormal viscosity of entangled polymer melts, weunexpectedly found an SODV. It is a synchronous-antisymmetric coupled electronpair (CEP) excited state that creates a dynamic interface between two slightlyoverlapping adjacent hard-sphere molecules (HSMs). The two HSMs suddenlyacquired the identical new spin in opposite directions, so the two-dimensionalsoft matrix predicted by de Gennes was found in the glass model. Unlikeelectronic excited states, the energy of CEP excited states is three orders ofmagnitude smaller than that of electronic excited states, and they appear inthe form of a nano-scale dynamic Ising models. This new mathematical physicsregime can directly explain almost all glass and glass transition phenomena. Inthis paper, two paradigms with n = 0 are given, and discussed its wideapplication prospects.

Glass theory: ground and excited states of coupled electron pairs