Abstract
The quantum (q) concept of space-time dynamics described previously is extended from free to interacting systems. The idea is developed that the world is not a plenum of q objects but a plexus of q processes. The q mode of description by Hilbert-space vectors with a special rule of interpretation (stators) ordinarily used for physical objects is used instead for physical processes acting upon objects, including free propagation. The geometrical object proposed as stator for a q network of processes is a natural generalization of a tensor, a Feynman-diagram amplitude, and a chain in a complex, called a plexor. The notation, algebra, and geometry of plexors is illustrated. A strong Mach principle is a self-evident feature of such a q-process theory of space-time, in which it is meaningless to speak of empty space-time or of space-time relations between noninteracting systems.
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