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A Linear Cellular Automaton over a Vector Space and Its Application to a Generalized Special Relativity

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Book cover Cellular Automata (ACRI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4173))

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Abstract

The theory of special relativity is based on matrix theory. We generalize matrix theory from the viewpoint of cellular automata, and using this theory, we propose a new principle of special relativity.

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References

  1. Einstein, A.: The principle of relativity. Dover, New York (1958)

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  2. Ito, M., Osato, N., Nasu, M.: Linear cellular automata over Z. J. Comput. System Sci. 27(2), 125–140 (1983)

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  4. Sato, T.: Matrix theory from the viewpoint of cellular automata, RIMS Koukyuroku, 1437 (2005)

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  5. Sato, T.: Linear cellular automata and their applications to physics. In: International Workshop Automata 2005, Poland (2005)

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Author information

Authors and Affiliations

  1. Toyo University, 2100 Kujirai Kawagoesi, Japan

    Tadakazu Sato

Authors
  1. Tadakazu Sato
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Editor information

Editors and Affiliations

  1. Laboratory of Mathematics, Physics and Systems, University of Perpignan, 52, Paul Alduy Avenue, 66860, Perpignan, Cedex, France

    Samira El Yacoubi

  2. Computer Science Department, University of Geneva, Switzerland

    Bastien Chopard

  3. Research Center on Complex Systems and Artificial Intelligence (CSAI) Department of Computer Science, Systems and Communication (DISCo), University of Milan, Bicocca viale Sarca, 336, 20126, Milan, (Italy)

    Stefania Bandini

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© 2006 Springer-Verlag Berlin Heidelberg

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Sato, T. (2006). A Linear Cellular Automaton over a Vector Space and Its Application to a Generalized Special Relativity. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds) Cellular Automata. ACRI 2006. Lecture Notes in Computer Science, vol 4173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861201_47

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  • DOI: https://doi.org/10.1007/11861201_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40929-8

  • Online ISBN: 978-3-540-40932-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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