Bob Laughlin gave a colloquium talk. At the beginning, he seems a little tired due to heavy works on him as a president. But, he got better as the talk proceeds. Since his Korean is not good enough to give a talk in Korean ;) he rather used his mother tongue.
The title was
'Quantum Criticality and Black Holes'. The problematic topic. You may want to read Lubos' critiques on it
here. But, the story was much simpler than that here, since the half of the audience were junior/senior undergradaute students at the colloquium.
He started explaining general relativity in simple terms. He reminded the students of the fact that the gravity is stronger at the surface of the earth than at the sky above and that the time goes slowly.
Time in general relativity is not a parameter but the dynamic variable.
He then pointed out that
the time in quantum mechanics is universal or a parameter, not the dynamic variable. He stressed at least on of the two theory, general relativity and quantum mechanics, must be wrong since they use time in different context. If we should take one of them as at least an approximate one, which one will you choose, he asked.
He drawed several pictures to explain the exotic phenomena of spuerfluid 4He. Helium flowing out of a cup spontaneously and swirling forever with vortex in it etc were shortly describd. He argued that although one knows how the system of the Hamiltonian is written down in its exact form, one never predicts anything from the Schrodinger equation with that Hamiltonian. One rather describes the phenomena with effective Hamiltonian which, however, exactly gives the results of experimental observation. He coined this as
Emergent Exactness. Simply,
- Emergent phenomena comes from the first principle of Schrodinger equation,
- But, one can never prove it,
- While the emergent phenomena itself can be exactly described by effective equations.
So, he asked
What should we call the fundamental laws ?
He answered that emergent exactness should be regarded as fundamental as the first principles. Then, he moved to the original question and say,
Maybe, general relativity is emergent, why not ?
To support his guess, he drawed one example of emergent phenomena in condensed matter and compare it with the black holes which is typical example that general relativity predicts.
( to be continued )