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We present derived I-E curves that match Zenier curves used to fit dataexperimentally with wavefunctionals congruent with the false vacuum hypothesis.The open question is whether the coefficients picked in both thewavefunctionals and the magnitude of the coefficients of the driven sine Gordonphysical system should be picked by topological charge arguments that inprinciple appear to assign values that have a tie in with the false vacuumhypothesis first presented by Sidney Coleman. Our supposition is that indeedthis is useful and that the topological arguments give evidence as to a firstorder phase transition which gives credence to the observed and calculated I-Ecurve as evidence of a quantum switching phenomena in density wave physics, onewhich we think with further development would have applications to quantumcomputing, via quantum coherent phase evolution, as outlined in this paper .This analysis is enhanced by a new phi to the fourth power field theorytreatment of how to model field theory in real time evolution as given to theAuthor by Dr. Fred Cooper as part of a meeting in KITP, UCSB in early 2008

An open question: Are topological arguments helpful in setting initial  conditions for transport problems and quantization criteria/ quantum  computing for Density Wave physics?