Møller-Rosenfeld semiclassical gravity, which averages over quantum mixtures, is argued to be a different theory from the semiclassical limit of unitary quantum gravity, which would collapse to a single branch after a gravitational measurement.
Structure and statistical properties of the semiclassical Einstein equations
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abstract
We treat the semiclassical Einstein equation as a quantum-classical hybrid and demonstrate the formal equivalence of its two derivation methods. This approach identifies the left-hand side of the equation as the expectation value of the Einstein tensor given the state of matter, and not its actual value in each realization of the set-up. As a result, standard criticisms of semiclassical gravity do not apply, and stochastic gravity emerges as a necessary extension
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Mixture equivalence principles and post-quantum theories of gravity
Møller-Rosenfeld semiclassical gravity, which averages over quantum mixtures, is argued to be a different theory from the semiclassical limit of unitary quantum gravity, which would collapse to a single branch after a gravitational measurement.