## Quantum energies of GR..

If we apply the Bohr-Sommerfeld quantization to GR (semiclassical)

$$\oint_{S} \pi _{ab} dg_{ab}=\hbar (n+1/2)$$

In this case if "Energies" (or whatever you call energy since in Quantum GR H=0 for the "Hamiltonian constraint" ) then using Einstein equation we see that the "curvature" (quantum version) can't be arbitrary (curvature of the surface is quantizied) and that the WKB wave function would be:

$$\Psi=e^{iS/\hbar}$$ of course the question there is if we can get the action S from the HIlbert-Einstein Lagrangian, or if the WKB method for energies and wavefunctions applied here.

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 Blog Entries: 19 Recognitions: Science Advisor A technical question: What is S in your first equation? (Obviously, not the same as S in the second one.)
 Oh..sory "Demystifier"..i forgot to change the letter.. one "S" is the action the other is just to indicate that the integral is performed over a close Hyper-surface on R-4 space (in a similar fashion ot usual WKB formula) i will change it.