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Mass, Inertia, and Gravitation

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Mass and Motion in General Relativity

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 162))

Abstract

We discuss some effects induced by quantum field fluctuations on mass, inertia, and gravitation. Recalling the problem raised by vacuum field fluctuations with respect to inertia and gravitation, we show that vacuum energy differences, such as Casimir energy, do contribute to inertia. Mass behaves as a quantum observable and in particular possesses quantum fluctuations. We show that the compatibility of the quantum nature of mass with gravitation can be ensured by conformal symmetries, which allow one to formulate a quantum version of the equivalence principle. Finally, we consider some corrections to the coupling between metric fields and energy–momentum tensors induced by radiative corrections. Newton’s gravitation constant is replaced by two different running coupling constants in the sectors of traceless and traced tensors. There result metric extensions of general relativity (GR), which can be characterized by modified Ricci curvatures or by two gravitation potentials. The corresponding phenomenological framework extends the usual parametrized post-Newtonian (PPN) one, with the ability to remain compatible with classical tests of gravity while accounting for new features, such as Pioneer-like anomalies or anomalous light deflection.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique de l’ENS, 24 Rue Lhomond, F75231, Paris Cedex 05, France

    Marc-Thierry Jaekel

  2. Centre National de la Recherche Scientifique (CNRS), Ecole Normale Supérieure (ENS), Université Pierre et Marie Curie (UPMC), Paris, France

    Marc-Thierry Jaekel

  3. Laboratoire Kastler Brossel, CNRS, ENS, UPMC, Case 74, Campus Jussieu, F75252, Paris Cedex 05, France

    Serge Reynaud

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  1. Marc-Thierry Jaekel
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Editors and Affiliations

  1. Institut d'Astrophysique de Paris, boulevard Arago 98bis, Paris, 75014, France

    Luc Blanchet

  2. Observatoire de la Cote d'Azur, Nice, France

    Alessandro Spallicci

  3. Dept. Physics, University of Florida, Gainesville, 32611-8440, Florida, USA

    Bernard Whiting

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Jaekel, MT., Reynaud, S. (2009). Mass, Inertia, and Gravitation. In: Blanchet, L., Spallicci, A., Whiting, B. (eds) Mass and Motion in General Relativity. Fundamental Theories of Physics, vol 162. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3015-3_18

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