Synergetics

The theory of an exploratory strategy of starting with the whole, and the known behaviour of some of its parts, with the anticipated progressive discovery of the integral unknowns and comprehension of the hierarchy of generalized principles. The mathematics conceived to be involved in synergetics consists of topology combined with vectorial geometry; to make possible a rational, whole-number, low-integer quantization of all the important relevant geometries. This is thought to be because the tetrahedron, the octahedron, the rhombic dodecahedron, the cube, and the vector equilibrium may be constituted by the lattices of all atoms.

Synergetics makes possible, it is thought, the return to conceptual modelling of all physical intertransformations and energy-value transactions. The geometrical, a priori, model of energy configurations in synergetics is developed from a symmetrical cluster of spheres, in which each sphere is a conceived to be a model of a field of energy all of whose forces tend to coordinate themselves. The forces of the field of energy represented by each sphere inter-oscillate through the symmetry of equilibrium to various assymetries; the vector equilibrium itself being only a referential pattern of conceptual relationships at which a system may never pause. The closest packing of spheres in 60-degree angular relationships demonstrates a finite system in a 'universal' geometry. Synergetics is theoretically comprehensive because it seeks to describe instantaneously both the internal and external limit relationships of the sphere or spheres of energetic fields. It attempts to coordinate within one mensurational system the interlocking of quantum mechanics and vectorial geometry. Synergetics is typical of holistic, deductive philosophies of scientific method which seek to make evident the awkwardness characterizing mid-twentieth century treatment of natural interrelationships by isolated scientific disciplines.