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## Main Question or Discussion Point

A reply in a different thread got me thinking. The Heisenberg Uncertainty principly is really a mathematical expression about the noncomutative behavior of operators, that is (using the standard position and momentum) p q - q p >= i h / 2 pi.

But aren't both position and momentum strictly defined in the reals? How does a difference in operations between two reals produce an imaginary component?

But aren't both position and momentum strictly defined in the reals? How does a difference in operations between two reals produce an imaginary component?