Gerard 't Hooft has just uploaded a new paper on arxiv: http://arxiv.org/abs/1207.3612(adsbygoogle = window.adsbygoogle || []).push({});

Summary:

Ideas presented in two earlier papers are applied to string theory. It had been found that a deterministic cellular automaton in one space- and one time dimension can be mapped onto a bosonic quantum field theory on a 1+1 dimensional lattice. We now also show that a cellular automaton in 1+1 dimensions that processes only ones and zeros, can be mapped onto a fermionic quantum field theory in a similar way. The natural system to apply all of this to is superstring theory, and we find that all classical states of a classical, deterministic string propagating in a rectangular, D dimensional space-time lattice, with some boolean variables on it, can be mapped onto the elements of a specially chosen basis for a (quantized) D dimensional superstring. This string is moderated ("regularized") by a 1+1 dimensional lattice on its world sheet, which may subsequently be sent to the continuum limit. The space-time lattice in target space is not sent to the continuum, while this does not seem to reduce its physically desirable features, including Lorentz invariance.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Discreteness and Determinism in Superstrings?

Loading...

Similar Threads - Discreteness Determinism Superstrings | Date |
---|---|

Is space-time discrete or continuum? | Apr 1, 2013 |

String Theory - Determinate or Indeterminate? | Jun 12, 2012 |

String field from Loop/SpinfoamQG:how to build SM matter on discrete quantum geometry | Jan 3, 2012 |

What is Discrete Scale Relativity? | Apr 18, 2011 |

Quantum foam and discreteness of spactime for an idiot | Jan 8, 2011 |

**Physics Forums - The Fusion of Science and Community**