When I was a graduate student, and studying quantum mechanics, I came across a statement by Heisenberg which impressed me. We have no trouble visualizing the macroscopic world. It is our common environment and when someone throws a ball to you, you need no Newtonian mechanics to catch it. If you had to catch an electron, well you have no idea without some help. That is because an electron is part of the microscopic world, which is impossible for us to visualize without knowing the equations. This is where Heisenberg came in and said that the only way we can actually visualize the microscopic world is through understanding the equations. It is through the equations, and only the equations, that we can form a mental picture of microscopic processes. Such mental images are very useful. As Heisenberg said, we develop “visualizability” of the microscopic world through following the logic of nature which for us is mathematics. The usual singlet state In blog H. of this series, I used the...

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