Hi Akinbo,
Thanks for reading and commenting.
1. "what question would you like to ask the universe if you are given just a single question to ask?"
Nice question, but you realize that if one would really be in that position, one would better spend very long time to choose the question. And life is too short to spend it preparing a question which we may never be in position to answer. At this time I don't think I know which question is optimal to ask. Some may think that it worth wasting the single shot with a question like "Is there God?". But I don't think this will have much impact, because people can very easily adjust the new data to their prior beliefs. And, let's face it, a single bit, no matter what question would you ask, would not suffice, since additional information may turn the situation unexpectedly. Especially since our concepts may differ from the fundamental concepts of the universe. Think for example of a question whether light is 'classical wave' or 'point particle'.
"2. You are obviously a fan of Wheeler ..."
Why do you think I would agree with all Wheeler said? Why such strong words like "fan" and "disciple"? You are right that Wheeler initially, in geometrodynamics, wanted to explain everything from geometry and topology, and later from bit. I will try to explain what I think he thought about this, but this doesn't mean that I think the same.
In "John Wheeler - Information, Physics, Quantum The Search for Links (1989)", he mentioned "four no's", and the third was "no continuum", which apparently is at odds with his original geometrodynamics views. But he also mentioned "five clues", and the first one was "the boundary of a boundary is zero" (which he used for example in "charge without charge"). So, he believed that the world is not a continuum, but it obeys a principle originated from topology. There is no big contradiction between these, given that the "no boundary proposal" appears in simplicial homology, which is discrete. Of course, it appears also in homology, cohomology, Stokes' theorem, etc., but maybe all these can be reduced somehow to simplicial homology (you may know even of a research program of simplicial quantum gravity).
About the "fan" thing, let me tell you a secret. During my attempts to understand the universe, I had several ideas, and I found that some of them are very closed to Wheeler's. One was the idea to find some conditions the curvature has to satisfy, to be able to obtain from it the electromagnetic tensor, and hopefully other fields which compose the "wood" part of Einstein's equations. After many months of researching the subject, I found that this was first done by Rainich, and later rediscovered by Misner and Wheeler. For this, see Geometry of gravitation and electromagnetism, by L. Witten, and chapter 9 from Gravitation: An Introduction to Current Research, ed. L. Witten, and section 5.3 from Spinors and Space-time: Spinor and twistor methods in space-time geometry, R Penrose, W Rindler - 1986. Another one was a way to understand QM, which consists in the fact that initial conditions are selected at measurement, but apply to the past, and I found that this was very close to Wheeler's delayed choice experiment. Maybe the difference is that he sticks to the "bit", empty of the need of an "it", while I stick with the "it" too, and this is how I think the relation between geometry and "bit" is, as opposed to Wheeler's, which I described earlier. So, if I studied Wheeler, was because I found many relations between his views and mine. But there are important differences in our views, and I hoped my essay showed this. Being conscious of this, I believe that anyone who apparently has similar views to another person of whom I've heard, may in fact have unique and very distinct views from that person. On the other hand, it seems to be very common to judge other people by yes/no questions (like the one you asked me if I would ask Schrodinger's cat), or to use dichotomous classifications. So, to both of your questions, the answer is that what you can learn from a bit, is just a bit.
Best,
Cristi Stoica