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Letter: Space-Time Uncertainty from Higher-Dimensional Determinism

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Abstract

Heisenberg's uncertainty relation is commonly regarded as defining a level of unpredictability that is fundamentally incompatible with the deterministic laws embodied in classical field theories such as Einstein's general relativity. We here show that this is not necessarily the case. Using 5D as an example of dimensionally-extended relativity, we employ a novel metric to derive the standard quantum rule for the action and a form of Heisenberg's relation that applies to real and virtual particles. The philosophical implications of these technical results are somewhat profound.

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REFERENCES

  1. Wesson, P. S. (1999). Space, Time, Matter, World Scientific, Singapore.

    Google Scholar 

  2. Rindler, W. (1977). Essential Relativity, Springer, New York.

    Google Scholar 

  3. Linde, A. D. (1990). Inflation and Quantum Cosmology, Academic Press, Boston, Massachusetts.

    Google Scholar 

  4. Jammer, M. (2000). Concepts of Mass in Contemporary Physics and Philosophy, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  5. Wesson, P. (1992). Phys. Lett. B 276, 299.

    Google Scholar 

  6. Mashhoon, B., Wesson, P. S., and Liu, H. (1998). Gen. Rel. Grav. 30, 555

    Google Scholar 

  7. Randall, L., and Sundrum, R. (1998). Mod. Phys. Lett. A 13, 2807.

    Google Scholar 

  8. Arkani-Hamed, N., Dimopoulous, S., and Dvali, G. R. (1998). Phys. Lett. B 429, 263.

    Google Scholar 

  9. Ponce de Leon, J. (2001). Mod. Phys. Lett. A 16, 2291.

    Google Scholar 

  10. Seahra, S. S., and Wesson, P. S. (2001). Gen. Rel. Grav. 33, 1731.

    Google Scholar 

  11. Youm, D. (2001). Mod. Phys. Lett. A 16, 2371.

    Google Scholar 

  12. Wesson, P. S., Mashhoon, B., Liu, H., and Sajko, W. N. (1999). Phys. Lett. B 456, 34.

    Google Scholar 

  13. Youm, D. (2000). Phys. Rev. D 62, 084002.

    Google Scholar 

  14. Wesson, P. S. (2002). J. Math. Phys. 43, 2423.

    Google Scholar 

  15. Wesson, P. S. (2002). Class. Quant. Grav. 19, 2825.

    Google Scholar 

  16. Cardone, F., Francaviglia, M., and Mignani, R. (1999). Gen. Rel. Grav. 31, 1049.

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Physics, University of Waterloo, Waterloo, Ontario, N2L 3G1

    Paul S. Wesson

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  1. Paul S. Wesson
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Wesson, P.S. Letter: Space-Time Uncertainty from Higher-Dimensional Determinism. General Relativity and Gravitation 36, 451–457 (2004). https://doi.org/10.1023/B:GERG.0000010504.65118.fd

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  • DOI: https://doi.org/10.1023/B:GERG.0000010504.65118.fd

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