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String Gravity and Physics at the Planck Energy Scale pp 369–408Cite as

Statistics of the Microwave Background Anisotropies Caused by Cosmological Perturbations of Quantum-Mechanical Origin

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Part of the book series: Mathematical and Physical Sciences ((ASIC,volume 476))

Abstract

The genuine quantum gravity effects can already be around us. It is likely that the observed large-angular-scale anisotropics in the microwave background radiation are induced by cosmological perturbations of quantum-mechanical origin. Such perturbations are placed in squeezed vacuum quantum states and, hence, are characterized by large variances of their amplitude. The statistical properties of the anisotropics should reflect the underlying statistics of the squeezed vacuum quantum states. In this paper, the theoretical variances for the temperature angular correlation function are described in detail. It is shown that they are indeed large and must be present in the observational data, if the anisotropics are truly caused by the perturbations of quantum-mechanical origin. Unfortunately, these large theoretical statistical uncertainties will make the extraction of cosmological information from the measured anisotropics a much more difficult problem than we wanted it to be. This contribution to the Proceedings is largely based on references [42,8]. The Appendix contains an analysis of the “standard” inflationary formula for density perturbations.

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Authors and Affiliations

  1. McDonnell Center for the Space Sciences, Physics Department, Washington University, 63130, St. Louis, Missouri, USA

    L. P. Grishchuk

  2. Sternberg Astronomical Institute, Moscow University, 119899, Moscow, Russia

    L. P. Grishchuk

Authors
  1. L. P. Grishchuk
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Editor information

Editors and Affiliations

  1. Observatoire de Paris, Demirm, Paris, France

    N. Sánchez

  2. CERN, Geneva, Switzerland

    A. Zichichi

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© 1996 Kluwer Academic Publishers

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Grishchuk, L.P. (1996). Statistics of the Microwave Background Anisotropies Caused by Cosmological Perturbations of Quantum-Mechanical Origin. In: Sánchez, N., Zichichi, A. (eds) String Gravity and Physics at the Planck Energy Scale. Mathematical and Physical Sciences, vol 476. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0237-4_17

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  • DOI: https://doi.org/10.1007/978-94-009-0237-4_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6589-4

  • Online ISBN: 978-94-009-0237-4

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