How would a physicists expect a perfect relativist quantum particles simulation to look like? Can anyone give a description of its functionality? Let's say for example, someone would program a simulation, composed of a 4D space-time diagram. Within this simulation are a large amount of quantum particles "floating around". At any given spacetime point or volume within this simulation, the simulation would give you the exact probability of detecting a given particle or the strength of the particle field. Here i must ask, when QM physicists are talking about the probability of detecting a particles within a given volume of space, do they mean 3D space or 4D-space(spacetime)? The above description is just an about how i would imagine it to give you a picture of what kind of answer i am expecting. What kind of properties/functionality would an expert demand of such a simulation, to consider it perfect? What kind of information would he have to be able to extract out of this simulation to consider it complete as in being powered by a TOE? Assume we have access to arbitrary fast computers with arbitrary large amount of memory. Such a simulation, with enough particles simulation, would under the right conditions form molecules, proteins, bacteria, insects and higher life eventually (ignoring philosophical considerations).