The potential exists for a singularity or the particle aspect to manifest anywhere in that field. The probability function for the particle aspect manifestation would be expressed in the synergetic model on the basis of an entirely different approach to the meaning and significance of geometry. Synergetic geometry, as it is being interprested and utilized in this essay, does not describe an independently existing extermal world, nor does it utilize the categories of space and time and the mathematical methodologies founded on and abstracted from the conventional Cartesian model. In that model it is assumed that the world exists separate from consciousness. Viewed thus, particles and waves seem to possess intrinsically different and mutually exclusive properties.
Particles are singular, static, and separate from one another.
Waves are dynamic, spread out, and more like continuous wholes. Reconciling these mathematically, geometrically, and conceptually within the constraints of the mindset and methodologies which have sprung from the Cartesian model has been one of the core dilemmas in the development of quantum theory. In the synergetic model which I am proposing, the relationship between particle and wave specifically, and part and whole generally, is one of reciprocity and mutual inherence. This approach will also lead us toward an entirely different way of symbolizing and understanding the nature of electric charge. It is seen not as an external attribute of a point or object in space and time but rather as a dynamic property of systems in either associative or disassociative relationship.