Abstract
Modern theories assume that the gravitational field is of a quantum nature at the most fundamental level. I explain when, why, and to which extent gravitational degrees of freedom acquire classical properties through decoherence caused by other, irrelevant, degrees of freedom. This includes the cases of cosmo- logical variables, fluctuations in the early Universe that serve as seeds for galaxies, and black holes.
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References
Barbour, J.B. (1997): Nows are all we need. In: Time, Temporality, Now, edited by H. Atmanspacher and E. Ruhnau (Springer, Berlin)
Barvinsky, A.O., Kamenshchik, A.Yu., Kiefer, C. (1999a): Effective action and decoherence by fermions in quantum cosmology. Nucl. Phys. B 552, 420–444
Barvinsky, A.O., Kamenshchik, A.Yu., Kiefer, C, Mishakov, I.V. (1999b): De-coherence in quantum cosmology at the onset of inflation. Nucl. Phys. B 551, 374–396
Barvinsky, A.O., Kiefer, C. (1998): Wheeler-DeWitt equation and Feynman diagrams. Nucl. Phys. B 526, 509–539
Barvinsky, A.O., Krykhtin, V. (1993): Dirac and BFV quantization methods in the 1-loop approximation: closure of the quantum constraint algebra and the conserved inner product. Class. Quantum Grav. 10, 1957–1984
Demers, J.-G., Kiefer, C. (1996): Decoherence of black holes by Hawking radiation. Phys. Rev. D 53, 7050–7061
Einstein, A. (1916): Naherungsweise Integration der Feldgleichungen der Gravitation. Sitzber. Kgl.-Preuss. Akad. d. Wiss., physikal.-math. Klasse, XXXII, 688–696
Giulini, D., Joos, E., Kiefer, C, Kupsch, J., Stamatescu, I.-O., Zeh, H.D. (1996): Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Berlin)
Hawking, S.W., Ross, S. (1997): Loss of quantum coherence through scattering off virtual black holes. Phys. Rev. D 56, 6403–6415
Ishain, C.J. (1992): Canonical quantum gravity and the problem of time. In: Integrable Systems, Quantum Groups, and Quantum Field Theories, edited by L. A. Ibart and M. A. Rodrigues (Kluwer, Dordrecht)
Joos, E. (1986): Why do we observe a classical spacetime? Phys. Lett. A 116, 6–8
Kiefer, C. (1987): Continuous measurement of mini-superspace variables by higher multipoles. Class. Quantum Grav. 4, 1369–1382
Kiefer, C. (1992): Decoherence in quantum electrodynamics and quantum cosmology. Phys. Rev. D 46, 1658–1670
Kiefer, C. (1994): The semiclassical approximation to quantum gravity. In: Canonical gravity: From Classical to Quantum, edited by J. Ehlers and H. Friedrich (Springer, Berlin)
Kiefer, C. (1997): Does time exist at the most fundamental level? In: Time, Temporality, Now, edited by H. Atmanspacher and E. Ruhnau (Springer, Berlin)
Kiefer, C, Joos, E. (1999): Decoherence: Concepts and examples. In Quantum Future, edited by P. Blanchard and A. Jadczyk (Springer, Berlin)
Kiefer, C, Lesgourgues, J., Polarski, D., Starobinsky, A.A. (1998a): The coherence of primordial fluctuations produced during inflation. Class. Quantum Grav. 15, L67–L72
Kiefer, C, Polarski, D. (1998): Emergence of classicality for primordial fluctuations: Concepts and analogies. Ann. Phys. (Leipzig) 7, 137–158
Kiefer, C., Polarski, D., Starobinsky, A.A. (1998b): Quantum-to-classical transition for fluctuations in the early universe. Int. J. Mod. Phys. D 7, 455–462
Kuchaf, K.V. (1992): Time and interpretations of quantum gravity. In: Proceedings of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, edited by G. Kunstatter, D. Vincent and J. Williams (World Scientific, Singapore)
Zeh, H.D. (1986): Emergence of classical time from a universal wave function. Phys. Lett. A 116, 9–12
Zeh, H.D. (1999): The physical basis of the direction of time (Springer, Berlin)
Zurek, W.H. (1991): Decoherence and the Transition from Quantum to Classical. Physics Today 44 (Oct.), 36–44; see also the discussion in Physics Today (letters) 46 (April), 13
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Kiefer, C. (2000). Decoherence in Situations Involving the Gravitational Field. In: Blanchard, P., Joos, E., Giulini, D., Kiefer, C., Stamatescu, IO. (eds) Decoherence: Theoretical, Experimental, and Conceptual Problems. Lecture Notes in Physics, vol 538. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46657-6_8
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DOI: https://doi.org/10.1007/3-540-46657-6_8
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