The author extends his alternative theory for Schrödinger quantum
mechanics by introducing the idea of energy reference strata over configuration
space. It is then shown that the view from various such strata defines, the
content of the system of interest and enables a variety of different descriptions of
events in the same space time region. Thus according to the point of view or
energy stratum chosen so the type of Schrödinger equation, linear or otherwise,
appropriate to describe the system is determined. A nonlinear information
channel between two dimensional fluid action in hyperspace into two
dimensional energy hyperspace is shown to exist generally as a background to
nonlinear Schrödinger structures. In addition it is shown how soliton solutions
of the one dimensional Schrödinger equation are related to two dimensional
vortex fields in hyperspace.
Knot soliton solutions for the one-dimensional non-linear Schrödinger equation
