  Our paper generalizes techniques initially explicitly developed for CDW
applications only with respect to what is needed for multi dimensional
instantons forming in complex condensed matter applications. This involves
necessary conditions for formulation of a soliton- anti soliton pair,assuming a
minimum distance between charge centers, and discusses the prior density wave
physics example as to why a Pierels gap term is added to the tilted washboard
potential for insuring the formation of scalar potential fields . We state that
much the same methodology is needed for higher dimensional condensed matter
systems/ giving an explicit reference to two dimensional instantons as
presented by Lu, and indicating further development in higher dimensions is
warranted
