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Towards p-Adic Matter in the Universe

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 36))

Abstract

Starting from p-adic string theory with tachyons, we introduce a new kind of non-tachyonic matter which may play an important role in evolution of the Universe. This matter retains nonlocal and nonlinear p-adic string dynamics, but does not suffer of negative square mass. In space-time dimensions \(D = 2 + 4k\), what includes \(D = 6,\,10,\,\ldots\,,\,26, \) the kinetic energy term also maintains correct sign. In these spaces this p-adic matter provides negative cosmological constant and time-dependent scalar field solution with negative potential. Their possible cosmological role is discussed. We have also connected non-locality with string world-sheet in effective Lagrangian for p-adic string.

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Acknowledgements

This investigation is supported by Ministry of Education and Science of the Republic of Serbia, grant No 174012. This article is based on the author talk presented at the IX International Workshop “Lie Theory and its Applications in Physics”, 20–26 June 2011, Varna, Bulgaria and the author thanks organizers for hospitality and creative scientific atmosphere. The author also thanks I.Ya. Aref’eva for useful discussions.

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Authors and Affiliations

  1. Institute of Physics, University of Belgrade, Pregrevica 118, 11080, Zemun, Belgrade, Serbia

    Branko Dragovich

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  1. Branko Dragovich
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Correspondence to Branko Dragovich .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Sofia, 1784, Sofiya, Bulgaria

    Vladimir Dobrev

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Dragovich, B. (2013). Towards p-Adic Matter in the Universe. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_2

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