Structure and statistical properties of the semiclassical Einstein equations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917878637264896 |
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| author | Terno, Daniel R. |
| author_facet | Terno, Daniel R. |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18213 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure and statistical properties of the semiclassical Einstein equations Terno, Daniel R. General Relativity and Quantum Cosmology Quantum Physics 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 |
| title | Structure and statistical properties of the semiclassical Einstein equations |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2412.18213 |