Structure and statistical properties of the semiclassical Einstein equations

Daniel R. Terno

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arXiv · 2412.18213

Structure and statistical properties of the semiclassical Einstein equations

Daniel R. Terno

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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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Daniel R. Terno. 2024-12-24. Structure and statistical properties of the semiclassical Einstein equations. https://arxiv.org/abs/2412.18213

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