To answer your question, "when you discover that your mental map of the world is in conflict with reality do you change your mental map or do you deny reality and persist in maintaining your mental map?"
We respond by going to that which we find most trustworthy. For example, if one experiences a supernatural event, investigates that event by all available science, but then finds that the simplest answer might be the most reasonable, it would be more absurd to deny the event than to alter one's thinking as to its cause. So even though in my worldly thinking I might attempt to rationalize away faith, it nevertheless exists regardless any attempts I might make to deny it by denying God.
The more one investigates, the more trustworthy we find God to be through faith in Christ.
Our 'mental map' as you have named it, is also referenced in Scripture as the soul composed of both the mind and the heart. Discernible from the human spirit, which isn't understood by those who are dead in the spirit.
All men are born with a soul which is scarred from the original sin. Our souls are continually remapped in our daily thinking. One major function of the Holy Spirit in our lives occurs with the renewing of our minds daily.
It is possible to remap our mind through faith in Christ or independent of Him, which also results in a scarring of our souls and failure to perceive the spirit life He blesses us through...
Actually it is the Superposition Principle and the combinations are to be determined in a probabilistic way. It isn't a hurdle to overcome anymore than limits in Calculus have to be overcome :) Bell Labs cute little messages aren't anywhere close to Planks constant and certainly don't violate the superposition principle. The bottom line is that absolutely precise knowledge of both at the same time can't be known.
About your hint, are you suggesting that the gauge principle is better applied to the wave function?
We respond by going to that which we find most trustworthy. For example, if one experiences a supernatural event, investigates that event by all available science, but then finds that the simplest answer might be the most reasonable, it would be more absurd to deny the event than to alter one's thinking as to its cause. So even though in my worldly thinking I might attempt to rationalize away faith, it nevertheless exists regardless any attempts I might make to deny it by denying God.
Have you considered that maybe the simplest answer to a supernatural event is that it didn't occur? How much value do you place in non repeatable or non verifiable experiments?
The more one investigates, the more trustworthy we find God to be through faith in Christ.
I tested that once. I tried to find a single unambiguous prophecy that has been clearly fulfilled. I am still looking :( Nostradamus seems to have a better track record and I doubt anyone takes his predictions seriously.