I thought I understood quantum mechanics. I have studied it for years. Passed exams. Got a degree.
This is the first time I have ever heard of the HOM experiment, and it is causing a crisis in my mind, since it does not match what I know about quantum mechanics.
They really should at least tell us of this experiment and its results when they start teaching us. Even after these years I was still under the impression that quantum mechanics was about unbreakable limitations on the measurement of data.
This experiment proves that the universe itself does not work in an intuitive way. All the people who are trying to outwit quantum mechanics by measuring position and energy at the same time are not just attempting something impossible, what they are trying doesn't even make sense.