On the Introduction of a Wave Function of the θ-Network State

This short note motivates the introduction of a generalized “wave function” of the θ-network statea complete description of the network configuration at a discrete time step. It is shown that this construction is not an analogy with quantum mechanics but follows directly from the internal logic of the Tensor Model of Discrete Dynamics (TMDD). Its main purpose is to provide a non-contradictory hierarchical description of complex systems, from individual θ-cells to macroscopic domains, within a single ontological language.