Thank you. That response seems to go in the direction I've been thinking about. If power is, in fact, the limiting factor (and the only factor, which I'm not saying is necessarily the case), then it would seem there must be some relation (some functional relation) between power input (ranges) and LED physical size (ranges). The original question was seeking those persons who might know the particulars of such a relationship.
The logical extension, seems to me, might be...a functional relationship between "power in" (i.e., physical size) and "lumens out."
The application? Well, looking at some rather intense debates in other fora on the pros and cons of LED space lighting--in particular the prospect of LED's for replacing conventional lighting--it occurred to me (this dreamer) that instead of "piping" electricity to distributed light fixtures within rooms of a building (residential or otherwise), it might be possible to instead pipe the light itself...from a centralized, LED "house sun." I even envisaged that such a system might incorporate conventional natural sunlight piping; and that real sun and artificial sun might work in synergy, each modulating the other for maximum grid power use efficiency and cost reduction. (In effect...designing buildings to the lighting, instead of designing lighting to the building. An even more "outlandish" application might entail, not just building but also building community lighting...a neighborhood artificial sun using single LED.)
So my follow-on question would be: what are others' thoughts about such a concept? And, what current R & D, if any, is happening along these lines?