Could contradiction play a role in quantum systems, as part of the mechanism of measurement, forcing a single random outcome from the spectrum of possibilities?
Dear Steve, from the point of view of logicians, consistency (freedom of contradictions) is the only one condition for theories in order to have models. So I suppose that contradictions must play a relevant role in quantum systems. All processes, doesn't matter if we accept decoherence (measurements forcing a random outcome from the spectrum of possibilities) or not, must be free of contradictions, in order to exist. This is a very serious constraint (and in some sense, the only one).
The role of contradictions is it absence. I myself prooved the consistency of set theory which is equivalente to say that it is free of contradictions.
My idea is that contradiction may be the impetus that forces decision during quantum measurement. Again referring to the donkey dilemma -- the donkey that starved to death after being placed equidistant between two bails of hay. The donkey cannot feed because no preference is possible.
If the donkey was forced to move forward by some strict contradiction behind him, forcing a decision on him, the contradiction would be imperative while the non-preference is no imperative at all. What do you think about this kind of idea?
I think that in nature there is almost always a preference. This is born out of the gravitational potential that would have to be exactly even for there not to be a preference. This may happen in some situations but would quickly change as the dynamic of moving bodies changes the gravitational potential. So not having a preference being an option is the same chance as 1/infinity of changes.