Non-Local Quantum Gravity

Greenwood et al., have studied a simple model of Quantum Gravity, they observe:


"If the singularity at the origin is really erased, then most of the assumed properties of the black holes need to be re-thought. In particular, once we include quantum radiation, a collapsing object (or a black hole) will lose all of its energy in finite time. However, in the absence of the true singularity at the center, a horizon formed during the collapse can not be a true global event horizon. In other words, in the absence of the singularity, a “black hole” may trap the light and other particles for some finite amount of time, but not forever (nor is the information lost down the singularity). This has profound implications for black hole physics. "

I believe that a crucial element of this solution is the non-locality introduced by Quantum Mechanics. This seems to take care of Penrose-Hawking singularity problems.

They also write:

"Second, the quantum equation that governs physics near the classical singularity seems to be non-local. The Schrodinger equation describing the collapsing ob ject contains an infinite number of derivatives. The dynam- ics of the wave function at certain point near the origin depends on the value of the wave function at some dis- tant point. While these non-local effects were absent at large distances far from the origin, they become unsuppressed in the near origin regime. Non-local effects we are finding in our approach may signal two things. It may be that it is a simple consequence of the fact that the Wheeler-de Witt (or functional Schrodinger) formal- ism is only an approximation of some more fundamental local theory. After all, effective low energy actions are often non-local. The other possibility is that the quantum description of the black hole physics requires inherently non-local physics. Answer to this question requires further investigation."