Hilbert Definition and 304 Threads

Hi all. I heard about the site the the Sec Web. Anyway, I'm a math major with philosophy and physics minors, and I'm going to grad school in math this fall. I'm doing my senior seminar on l2, the set of square summable sequences. I'd like to close my paper and my talk on some applications...

Yesterday Meteor found this new paper of Rovelli's and added it to the "surrogate sticky" collection of links. In case there is need for discussion, it should probably have its own thread as well. The paper expands a key assertion made on page 173 of the on-line draft of Rovelli's book...

...For abut two weeks I've searching the internet for a good online (i.e.free for download)course on the basis of quantum mechanics,that means the mathematical background of this theory.I found a few,especially from American colleges,but all of them seemed to have serious problems regarding...

Well, you all know that LQG has different kinds of Hilbert spaces (4 in the sake of truth). You start with the kinematical Hilbert space that is the vector space of all possible quantum states of spacetime. However, all these spacetimes are not physically real, not all of them make sense. Then...