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Scale seems to be related to the magnitude of the entirety under consideration. Not necessarily the magnitude of the constituent parts but how large the CONTEXT under consideration. A very small part of the big picture or a bigger part or a bigger part and so on. So what the Object universe is must be the largest scale , the ENTIRE CONTEXT at uni-temporal Now (a single fully simultaneously existing iteration), containing all of the lesser relationships within that whole(that might be taken out of that absolute context and abstractly considered separately).
The complexity seems to be the RESOLUTION with which something is considered or needs to be considered to fully describe it. Some simple objects or processes of low complexity can be simply and adequately described at low resolution but others can not be captured without high resolution. So the Object universe must exist at the HIGHEST RESOLUTION afforded by nature and contain as well all things that we can adequately abstractly describe with lesser resolution.
The description given by spatial dimensions is to do with how it is thought about, VIEWPOINT, more than an independent property of the Object universe. As there may be many different 3 dimensional descriptions for different imagined viewpoints, that are all valid, it must be considered as ALL VIEWPOINTS or NO SINGULAR VIEWPOINT and therefore not simply 3 dimensional.
The Universe is not merely the manifestation, the Image reality, formed from received EM data. So it is important to differentiate between the visible Image Universe (fabrication from data) and its source, the unseen (material) Object universe, and not to confuse the two of them.