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Space-time generated from a set of binary units

  • theoretical physics
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Abstract.

This paper shows that the properties of space-time that constitutes the background of the theory of special relativity, namely its dimensionality, the correct partition of dimensions between one time-type and three space-type dimensions and the Minkowski metrics, may emerge from a set of completely interacting binary units structured by a noise defined in a Landau-type free energy of Higgs fields and by gauge symmetries, in particular those related to the permutation group of four objects.

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References

  1. S. Lloyd, Nature 406, 1047 (2000)

    Article  Google Scholar 

  2. S. Lloyd, Phys. Rev. Lett. 88, 237901 (2002)

    Article  Google Scholar 

  3. For an account of the history of discrete spaces see for example: S. Wolfram, A New Kind of Science (Wolfram Media, 2002)

  4. A. Einstein, Sitzber. Preuss. Akad. 217 (1928)

  5. R. Penrose, Angular momentum: an approach to combinatorial space-time, in: Quantum Theory and Beyond, edited by T. Bastin (Cambridge University press, 1971)

  6. D. Oriti, Rep. Prog. Phys. 24, 1489 (2001)

    Google Scholar 

  7. S.W. Hawking, Nucl. Phys. B 144, 349 (1978)

    Article  MathSciNet  Google Scholar 

  8. R. Balian, R. Maynard, G. Toulouse, Ill-condensed Matter (North Holland, Amsterdam, 1979)

  9. G.’t Hooft, The Higgs Sector or Scalar Fields in Particle Physics (Utrecht University, 2003)

  10. S. Kirkpatrick, D. Sherrington, Phys. Rev. B 17, 4384 (1978)

    Article  Google Scholar 

  11. J.P. Serre, Représentations Linéaires des Groupes Finis (Hermann, Paris, 1978)

  12. J.R. Westlake, Handbook of Numerical Matrix Inversion and Solution of Linear Equations (John Wiley & Sons, N.Y., 1968)

  13. A. Guth, The inflatory Universe: The Quest for a New Theory of Cosmic Origins (Readlind, Ma: Addison Weysley 1997)

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Authors and Affiliations

  1. CEN Grenoble, CNRS/LPM2C BP 166, 38042 , Grenoble cedex 9, France

    P. Peretto

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  1. P. Peretto
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Correspondence to P. Peretto.

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Received: 28 October 2003, Revised: 23 February 2004, Published online: 3 June 2004

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Peretto, P. Space-time generated from a set of binary units. Eur. Phys. J. C 35, 567–577 (2004). https://doi.org/10.1140/epjc/s2004-01826-1

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  • DOI: https://doi.org/10.1140/epjc/s2004-01826-1

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