Publication: Time, clocks and parametric invariance
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2008-05
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Springer
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In the context of a parametric theory (with the time being a dynamical variable) we consider here the coupling between the quantum vacuum and the background gravitation that pervades the universe (unavoidable because of the universality and long range of gravity). We show that this coupling, combined with the fourth Heisenberg relation, would break the parametric invariance of the gravitational equations, introducing thus a difference between the marches of the atomic and the astronomical clocks. More precisely, they would be progressively and adiabatically desynchronized with respect to one another in such a way that the latter would lag behind the former. This would produce a discrepancy between gravitational theory and observations, which use astronomical and atomic time respectively. It turns out that this result, surprising at it might be, is fully compatible with current physics, since it does not conflict with any known physical law or principle. We argue that this phenomenon must be studied, since it could have cosmological consequences.
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© Springer Science+Business Media, LLC 2008. We are grateful to J.Martín and R. Tresguerres for discussions. This work has been partially supported by the Spanish Ministerio de Educación y Ciencia under grant BFM2003-05453.
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1. Jones, T., Splitting the Second. The Story of Atomic Time, Institute of Physics Publishing, Bristol (2000).
2. Essen, L., An atomic standard of frequency and time interval: A Cæsium resonator, Nature, 176, 280–282, (1955).
3. Bullard, E., Definition of the second of time, Nature, 176, 282, (1955).
4. Hanson, A., Regge, T., Teitelboim, C., Constrained Hamiltonian Systems, Accademia dei Lincei, Roma (1976).
5. Tiemblo, A., Tresguerres, R., Internal time and gravity theories, Gen. Relativ. Gravit., 34, 31–47 (2002).
6. Barbero, J.F., Tiemblo, A., Tresguerres, R., Husain-Kuchar model: Time variables and nondegenerate metrics, Phys. Rev. D, 57, 6104–6112 (1998).
7. Canuto, V., Adams, P.J., Hsieh, S.-H., Tsieng, E., Scale-covariant theory of gravitation and astrophysical applications, Phys. Rev., 16, 1643–1663 (1977).
8. Landau, L.D., Lifshitz, E.M., The Classical Theory of Fields, 4th revised English edn. Pergamon Press, Oxford (1975), Chap. 10.
9. Rañada, A.F., The Pioneer riddle, the quantum vacuum and the variation of the light velocity, Europhys Lett., 63, 653–659 (2003).
10. Rañada, A.F., The light speed and the interplay of the quantum vacuum, the gravitation of all the universe and the fourth Heisenberg relation, Int. J. Mod. Phys. D. 12, 1755–1762 (2003).
11. Rañada, A.F., The Pioneer anomaly as acceleration of the clocks, Found. Phys., 34, 1955–1971 (2004).
12. Anderson, J.D., Laing, Ph.A., Lau, E.L., Liu, A.S., Martin Nieto, M., Turyshev, S.G., Indication, from Pioneer 10/11, Galileo and Ulysses data, of an apparent anomalous, weak, long-range acceleration, Phys. Rev. Lett., 81, 2858 (1998).
13. Anderson, J.D., Laing, Ph.A., Lau, E.L., Liu, A.S., Martin Nieto, M., Turyshev, S.G., Study of the anomalous acceleration of Pioneer 10 and 11, Phys. Rev. D, 65, 082004(2002).
14. Will, C., Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge (1993).
15. Vessot, R.F.C., et al., Test of relativistic gravitation with a space-borne hydrogen maser, Phys. Rev. Lett., 45, 2081–2084 (1980).