Is there an intersection between "logically undecidable propositions"

Question:

Is there an intersection between "logically undecidable propositions" and "canonically conjugate variables"?

As the story goes:

Years ago, the Princeton physicist John Wheeler began to wonder whether Heisenberg's uncertainty principle might not have some deep connection to G㶤el's incompleteness theorem (probably the second most misunderstood discovery of the 20th century). Both, after all, seem to place inherent limits on what it is possible to know. But such speculation can be dangerous. "Well, one day [Wheeler recounts] I was at the Institute of Advanced Study, and I went to G㶤el's office, and there was G㶤el. It was winter and G㶤el had an electric heater and had his legs wrapped in a blanket. I said, 'Professor G㶤el, what connection do you see between your incompleteness theorem and Heisenberg's uncertainty principle?' And G㶤el got angry and threw me out of his office."

Well, there you have the "official" anecdote, BUT I??m curious to know what YOU think?

Best Answer - Chosen by Asker: Yes, its intractable intersection is in a shifting chasm, centered between the Universe we'd like to know and the Universe we've got.