If we apply the Bohr-Sommerfeld quantization to GR (semiclassical)(adsbygoogle = window.adsbygoogle || []).push({});

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

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:

[tex] \Psi=e^{iS/\hbar} [/tex] 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Quantum energies of GR

**Physics Forums | Science Articles, Homework Help, Discussion**