Recently Brown et al., proposed a series of observations that can teach us a lot about the behavior of matter in extreme conditions.
I believe that they have opened a door to build a Theory of Quantum Gravity.
One incompatibility between General Relativity and Quantum Mechanics are the so-called Singularity Theorems. If the speed of light is the maximum speed of transmission of information, then matter must collapse to a state contradictory with the known laws of Physics. The fundamental contradiction with Quantum Theory is non-locality.
It is known, barring loop-holes, that the Aspect like experiments imply non-locality. This itself implies some "Quantum Information" faster than light signal. If this behavior is accepted, as I believe it must, then classical collapse à la Hawking-Penrose, must stop. In my mind this way out of the Singularity Theorems' conclusion, points toward a Quantum Theory of Gravity.
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