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The Two-Body Interaction with a Circle in Time

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Abstract

We complete our previous(1, 2) demonstration that there is a family of new solutions to the photon and Dirac equations using spatial and temporal circles and four-vector behaviour of the Dirac bispinor. We analyse one solution for a bound state, which is equivalent to the attractive two-body interaction between a charged point particle and a second, which remains at rest. We show this yields energy and angular momentum eigenvalues that are identical to those found by the usual method of solving of the Dirac equation,(4) including fine structure. We complete our previous derivation(2) of QED from a set of rules for the two-body interaction and generalise these. We show that QED may be decomposed into a two-body interaction at every point in spacetime.

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REFERENCES

  1. S. B. M. Bell, J. P. Cullerne, and B. M. Diaz, “Classical behaviour of the Dirac bispinor,” Found. Phys. 30 (1), 35-57 (2000).

    Google Scholar 

  2. S. B. M. Bell, J. P. Cullerne, and B. M. Diaz, “QED derived from the two-body interaction,” Found. Phys. 34 (2), 297-333 (2004).

    Google Scholar 

  3. S. B. M. Bell and B. M. Diaz, “Quantizing general relativity using QED theory,” to be published, 2003.

  4. J. D. Bjorkin and S. D. Drell, Relativistic Quantum Mechanics (McGraw–Hill, New York, 1964).

    Google Scholar 

  5. N. Bohr, “On the constitution of atoms and molecules i,” Phil. Mag. 26 (I), 1-24 (1913).

    Google Scholar 

  6. N. Bohr, “On the constitution of atoms and molecules ii,” Phil. Mag. 26 (XXXVII), 476-502 (1913).

    Google Scholar 

  7. R. M. Eisbeig, Fundamentals of Modern Physics (Wiley, London, 1967).

    Google Scholar 

  8. W. Greiner and J. Reinhart, Quantum Electrodynamics, 2nd edn. (Springer, Berlin, 1996).

    Google Scholar 

  9. J. G. Polchinski, String Theory (Cambridge University Press, 1998).

  10. P. Stehle, Order, Chaos, Order, the Transition from Classical to Quantum Physics (Oxford University Press, Oxford, 1994).

    Google Scholar 

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Authors and Affiliations

  1. Interdisciplinary Quantum Group, Department of Computer Science, The University of Liverpool, Chadwick Building, Peach Street, Liverpool, L69 7ZF, United Kingdom

    Sarah B. M. Bell, John P. Cullerne & Bernard M. Diaz

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  1. Sarah B. M. Bell
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  2. John P. Cullerne
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  3. Bernard M. Diaz
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Bell, S.B.M., Cullerne, J.P. & Diaz, B.M. The Two-Body Interaction with a Circle in Time. Foundations of Physics 34, 335–358 (2004). https://doi.org/10.1023/B:FOOP.0000019586.03478.18

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  • DOI: https://doi.org/10.1023/B:FOOP.0000019586.03478.18

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