Objects in Your Phase Space May Be Smaller Than They Appear
Lubos Motl has a very interesting post on a new ArXiv paper (0807.4556) by Jan de Boer, Sheer El-Showk, Ilies Messamah, Dieter Van den Bleeken. Because I don’t understand the technical details, let me just quote Lumo on what seem to me the most interesting parts: What is the general lesson? The general lesson is that in quantum gravity, the number of degrees of freedom is often much lower than what you would need to realize all of your fantasies based on classical physics. The entropy bounds and the holographic principle were the old moral examples why it is so. The new Benelux paper gives you a new and, in some optics, more concrete picture why not all of your classical fantasies are allowed. Why is it so? Simply because you often don't have enough quantum phase space (not even one Planck volume, up to powers of (2 pi), necessary for one quantum microstate) to realize them. A priori, this comment could sound crazy to you. If you have large objects, the corresponding phase spaces...