The particles and forces of the world come from fields that spread all throughout space and time and have a quantum mechanical nature. There’s a quantum mechanical field for the photon, the gluon, the Higgs boson, for gravity, etc. But the important thing to remember about field theory is that even in empty space, there are still fields. They are in their lowest-energy state or zero value.
When you take two different points of space-time at some distance between them there are still things there. The quantum state of the fields at these two points in space is always going to be entangled.
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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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Any proposed theory of quantum gravity would need to take care of the principles of locality, which state that any variable can change independently while measuring the properties of any point in space-time. These variables are called the degrees of freedom.
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