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Very Special Relativity and Noncommutative Space-Time

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Cosmology, Quantum Vacuum and Zeta Functions

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 137))

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Abstract

The Very Special Relativity (VSR) introduced by Cohen and Glashow [16] has a robust mathematical realization on noncommutative space-time, in particular on noncommutative Moyal plane, with light-like noncommutativity [35]. The realization is essentially connected to the twisted Poincaré algebra and its role as symmetry of noncommutative space-time and the corresponding quantum field theories [11, 12]. In our setting the VSR invariant theories are specified with a single deformation parameter, the noncommutativity scale\(\Lambda_{NC}\) Preliminary analysis with the available data leads to \(\Lambda_{NC} \geq 1 - 10\) Te V

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Authors and Affiliations

  1. School of Physics, Institute for Research in Fundamental Sciences (IPM), 19395-5531, Tehran, Iran

    M. M. Sheikh-Jabbari

  2. Department of Physics, University of Helsinki and Helsinki Institute of Physics, 64, FIN-00014, Helsinki, Finland

    A. Tureanu

Authors
  1. M. M. Sheikh-Jabbari
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  2. A. Tureanu
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Correspondence to M. M. Sheikh-Jabbari .

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Editors and Affiliations

  1. , Facultat de Ciències, Institut de Ciències de l’Espai (IEEC-CS, Barcelona, 08193, Spain

    Sergey D. Odintsov

  2. , Facultat de Ciències, Institut de Ciències de l'Espai ICE-CSIC, Barcelona, 08193, Spain

    Diego SĂ¡ez-GĂ³mez

  3. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Barcelona, 08034, Spain

    Sebastian XambĂ³-Descamps

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Sheikh-Jabbari, M.M., Tureanu, A. (2011). Very Special Relativity and Noncommutative Space-Time. In: Odintsov, S., SĂ¡ez-GĂ³mez, D., XambĂ³-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_28

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  • DOI: https://doi.org/10.1007/978-3-642-19760-4_28

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