Space-time generated from a set of binary units. (English) Zbl 1191.81160
Summary: 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.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81P99 | Foundations, quantum information and its processing, quantum axioms, and philosophy |
References:
| [1] | S. Lloyd, Nature 406, 1047 (2000) · doi:10.1038/35023282 |
| [2] | S. Lloyd, Phys. Rev. Lett. 88, 237901 (2002) · doi:10.1103/PhysRevLett.88.237901 |
| [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) |
| [7] | S.W. Hawking, Nucl. Phys. B 144, 349 (1978) · doi:10.1016/0550-3213(78)90375-9 |
| [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) · doi:10.1103/PhysRevB.17.4384 |
| [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) · Zbl 0155.19901 |
| [13] | A. Guth, The inflatory Universe: The Quest for a New Theory of Cosmic Origins (Readlind, Ma: Addison Weysley 1997) |
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