## __2022-Sustainable Industrial Processing Summit__

SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics

Editors: | F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis. |

Publisher: | Flogen Star OUTREACH |

Publication Year: | 2022 |

Pages: | 235 pages |

ISBN: | 978-1-989820-64-3(CD) |

ISSN: | 2291-1227 (**Metals and Materials Processing in a Clean Environment Series**) |

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## Cellular automata and the foundations of physics

**Peter
Rowlands**^{1};

^{1}UNIVERSITY OF LIVERPOOL, Liverpool, United Kingdom;

**Type of Paper:** Plenary

**Id Paper:** 58

**Topic:** 38## Abstract:

Previous work by the author has proposed a foundation for physics based on a Klein-4 symmetry between the four fundamental parameters mass, time, charge and space. These parameters and the algebras which specify their properties can then be seen as generated by a computational universal rewrite system, based on a zero totality state for the universe. The algebras, remarkably, combine to a 64-component group which is isomorphic to the gamma algebra of the Dirac equation, the equation which defines the fundamental (fermionic) state in physics. A very powerful version of relativistic quantum mechanics emerges from the application of this algebra, based on a state vector which is nilpotent or squaring to zero. In view of the various proposals made for founding physics on the behaviour of cellular automata, and the claim that long-range order in automata is only possible via the Klein-4 group (1), it is proposed to investigate possible connections between the Klein-4 group as used by the author in fundamental physics and the Klein-4 group as it becomes relevant to cellular automata, along with the computational developments with which they are each connected.

## Keywords:

physics; quantum mechanics; Mathematics;

## References:

1 Mainzer, K. and Chua, L., The Universe as Automaton From Simplicity and Symmetry to Complexity, Springer, 2012

## Full Text:

Click here to access the Full Text## Cite this article as:

Rowlands P. (2022).
Cellular automata and the foundations of physics.
In F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis.
(Eds.), *Sustainable Industrial Processing Summit
SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics*
(pp. 57-68).
Montreal, Canada: FLOGEN Star Outreach