humanino said:
Can you back that up with the best measurement you know for quantum mechanics, and the best measurement you know for general relativity ?
For me QM is the best tested theory because it has been applied in a huge variety of experiments that go far beyond the experiments that were envisioned by the creators e.g. fractional quantum hall effect, GHZ experiments, etc.
I think GR is theoretically strong, since SR is very well tested and GR is basically the unique diffeomorphism invariant extension thereof. As for tests of anything lik the full theory (and not just the first post-Newtonian term in the potential which goes as 1/r^2 whose coefficient was correctly guessed empirically before Einstein to solve the problem with the precesion of mercury), we still have not detected classical gravitational waves :(
To answer the question directly, I would say that the anomalous magnetic moment of the electron is the most precise measurement of QM (sure it involves QED, but QM is an essential part of relating this to what is measured so if QM was wrong to 1 part in a billion then this would ruin the measurement of the magnetic moment). As for GR, afaik the best strong-field precision tests depend on observations of binary pulsars and are not more accurate then 2 or 3 sig figs.
One thing I don't understand, is a lab should be given by a theorist.
As I explained, the experimental students get paid to do research i.e. assemble circuits and tune lenses (their words, not mine!), and I get paid to teach undergraduates; getting grant money for doing theory as a grad student is difficult (certainly not impossible but there is more money for experimental 'research' i.e. grunt work in the beginning).
A teaching assistant, which means I roughly have the same role for college students as your high school teacher in your classroom (professors at big universities do not do most of the teaching, it is done by graduate students like me).
Proton Soup, I disagree with your 'you always learn something, whether you realize it now or not.' After all, there is such a thing as a total waste of time. For me, a total waste of time occurs when people are doing something they don't want to do and no one in the world is benefiting. I have had many hours to sit in lab and reflect on the extent to which school labs match this description. So far I have not found any students who like being in lab, or who will do anything beyond what is necessary to 'get the grade.'