Technical issues
When you’re learning quantum mechanics as a student, you’re taught the classical model for something, then given rules for quantising that classical theory. However, classical theories do not define quantum theories very well. When you straightforwardly apply that quantisation procedure to gravity, it gives infinite crazy answers.
Conceptual issues
With gravity, you’re trying to combine many different possible geometries of space-time, meaning you’re not sure what time is or where things are in space because you don’t know the geometry of space.
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Strange things happen when you try to combine Einstein’s description of curved space-time with a universe made up of quantum wavefunctions. This podcast shows how space and time are emergent properties of quantum reality but not fundamental parts of it.
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