What Approach Tries to Resolve the Quantum Superposition Issue in Gravity?

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bluecap
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What is the second paragraph referring to in quantum gravity? specific name for it (like asymptotic gravity, etc.)..

http://backreaction.blogspot.com/2016_09_01_archive.html

"Just combining quantum field theory with general relativity doesn’t work because, as confirmed by countless experiments, all the particles we know have quantum properties. This means (among many other things) they are subject to Heisenberg’s uncertainty principle and can be in quantum superpositions. But they also carry energy and hence should create a gravitational field. In general relativity, however, the gravitational field can’t be in a quantum superposition, so it can’t be directly attached to the particles, as it should be.

One can try to find a solution to this conundrum, for example by not directly coupling the energy (and related quantities like mass, pressure, momentum flux and so on) to gravity, but instead only coupling the average value, which behaves more like a classical field. This solves one problem, but creates a new one. The average value of a quantum state must be updated upon measurement. This measurement postulate is a non-local prescription and general relativity can’t deal with it – after all Einstein invented general relativity to get rid of the non-locality of Newtonian gravity. (Neither decoherence nor many worlds remove the problem, you still have to update the probabilities, somehow, somewhere.)"
 
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bluecap said:
In general relativity, however, the gravitational field can’t be in a quantum superposition"

There are superpositions in quantum gravity.