"Simulation" and "speculation" imply an inferior relation to a holy grail of (base) reality or (ground) truth. Remove that, leaving only the self-contained dynamical system, and it is a duality of rule(s) and automata, or physics and phenomena, or difference equation and trajectories/orbits, where the transition rule is stochastic. I've found the physics analogy fruitful because humans have already invented abstractions for describing reality in relation to an irreducibly stochastic physics: wavefunction collapse (the intervention of the RNG which draws gratuitously particular trajectories from the probabilistic rule) and the multiverse (the branching possible futures downstream a state given a stochastic rule). Note, however, that all these physics-inspired names are missing the implication of a disembodied semantics.