What I do know about the mix at this point
What else do you know? In this entire thread, we still haven't learned too much about your actual situation. For example;
1) Where is this build located?
2) Why do you consider it passive solar? In other words, what shines on it and what does the insolation pass through on its way to the slab?
3) Does the slab have radiant tubing in it and what kind? How much? What is the design temperature?
3) You have never told us what the actual size or dimension of the slab(s) are. What rooms?
4) You haven't ever detailed the structure which would include joist size and type, span, spacing, subfloor, etc.
5) What is the actual makeup of the slab? Is there a vapor barrier at the bottom? What is the reinforcing in the slab?
6) What was the procedure? Did they pour it one afternoon and "seal" it a couple hours later? Next morning? A week later? Has it been stained or sealed or patterned? Did it crack before all that?
7) Haven't even figured out if the cracking has continued or stopped and after how long.
8) Haven't described how this looks much at all, other than for the word "efflorescence". Is that what it actually was or did a concrete stain go bad? Is the surface rough, glossy or punky? Soft? Hard?
9) At one point, cracks were 3/16" by your description and then they became 1/4" and 3/8".
10) What is proposed? Raising entire slab with overlay 1/16"? 1/4"? Will doors need to be raised? Thresholds? How many?
11) And finally, since you seem to like the "passive solar" characteristics of the slab, I'd like to know how you determined that. Is there any data or is the surface just warm to the touch?
In short, without meaningful input on what is happening, no one here can help you much except to feed you an answer you may have been looking for in the first place.