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Physical Models on Discrete Space and Time

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Symmetries in Science II

Abstract

The idea of space and time quantum operators with a discrete spectrum has been proposed frequently spacially after the discovery that some physical quantities exhibit measured values that are multiple of a fundamental unit. In 1935 Heisenberg proposed an elementary length in analogy with the observed unit of charge and action. It would be impossible enumerate all the papers written in the same direction. We want to concentrate ourselves in several papers published recently, where other references can be found.

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References

  1. C.M. Bender, D.H. Sharp, Phys. Rev. Lett. 50, 1535 (1983)

    Article  Google Scholar 

  2. C.M. Bender, K.A. Milton, D.H. Sharp, Phys. Rev. Lett. 51, 1815 (1983)

    Article  CAS  Google Scholar 

  3. C.M. Bender, K.A. Milton, D.H. Sharp, Phys. Rev. D31, 383 (1985)

    Article  CAS  Google Scholar 

  4. C.M. Bender, K.A. Milton, D.H. Sharp, L.M. Simmons, Jr., R. Stong, Phys. Rev. D32, 1476 (1985)

    Article  Google Scholar 

  5. C.M. Bender, F. Cooper, V.P. Gutschick, M. Martin Nieto, Phys. Rev. D32, 1486 (1985)

    Google Scholar 

  6. C.M. Bender, K.A. Milton, S.S. Pinsky, L.M. Simmons, Phys. Rev. D33, 1692 (1986)

    CAS  Google Scholar 

  7. C.M. Bender, L.M. Simmons, Jr., R. Stong, Phys. Rev. D33, 2362 (1986)

    CAS  Google Scholar 

  8. V. Moncrief, Phys. Rev. D28, 2485 (1983). See also

    Google Scholar 

  9. L. Vâzquez, Phys. Rev. D32, 2066 (1985)

    Google Scholar 

  10. H. Yamamoto, Phys. Rev. D30, 1727 (1984)

    Google Scholar 

  11. H. Yamamoto, Phys. Rev. 32, 2659 (1985)

    Article  CAS  Google Scholar 

  12. R. Jagannathan, T.S. Santhanam, R. Vasudevan, Inter. J. Theor. Phys. 20, 755 (1981)

    Article  CAS  Google Scholar 

  13. R. Jagannathan, T.S. Santhanam, Inter. J. Theor. Phys. 21, 351 (1982)

    Article  Google Scholar 

  14. R. Jagannathan, Inter. J. Theor. Phys. 22, 1105 (1983)

    Article  CAS  Google Scholar 

  15. P. Stovicek, J. Toler, Rep. Math. Phys. 20, 157 (1984)

    Article  Google Scholar 

  16. V. Kaplunovsky, M. Weinstein, Phys. Rev. D31, 1879 (1985)

    CAS  Google Scholar 

  17. L. Castell, C.F. von Weizsäcker, Quantum Theory and the Structure of Space and Time V. 5, C. Hanser Verlag, Munich 1983

    Google Scholar 

  18. D. Finkelstein, Phys. Rev. D9, 2219 (1974)

    Google Scholar 

  19. D. Finkelstein, Inter. J. Theor. Phys. 21, 489 (1982)

    Article  Google Scholar 

  20. M. Lorente, Inter. J. Theor. Phys. 11, 213 (1974)

    Google Scholar 

  21. M. Lorente, Inter. J. Theor. Phys. 12, 927 (1976)

    Google Scholar 

  22. M. Lorente, Inter. J. Theor. Phys. 25, 55 (1986)

    Article  Google Scholar 

  23. M. Lorente, “A Causal Interpretation of the Structure of Space and Time”, in Foundations of Physics (P. Weingarther, G. Dorn ed.) Hölder-Pichler-Tempsky, Vienna 1986

    Google Scholar 

  24. M. Garcia-Sucre, Inter. J. Theor. Phys. 24, 441 (1985)

    Article  Google Scholar 

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© 1986 Springer Science+Business Media New York

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Lorente, M. (1986). Physical Models on Discrete Space and Time. In: Gruber, B., Lenczewski, R. (eds) Symmetries in Science II. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1472-2_28

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  • DOI: https://doi.org/10.1007/978-1-4757-1472-2_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1474-6

  • Online ISBN: 978-1-4757-1472-2

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