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DERIVATION OF THE LEHNERT FIELD EQUATIONS FROM GAUGE THEORY IN VACUUM: SPACE CHARGE AND CURRENT

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Foundations of Physics Letters

Abstract

It is shown that the Lehnert field equations in vacuum, with concomitant space charge and current, can be derived straightforwardly from standard gauge theory applied in vacuum, using the concept of covariant derivative and Feynman's universal influence. The Lehnert and Proca field equations are shown to be inter-related through the well-known de Broglie theorem, in which the photon mass can be interpreted as finite. These ideas go some way towards addressing the inconsistency inherent in Maxwell's famous displacement current, which has no concomitant vacuum space charge.

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Authors and Affiliations

  1. Institute for Advanced Study, Alpha Foundation, Hungary

    P. K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. Crowell, G. J. Evans, M. W. Evans, R. Flower, S. Jeffers, A. Labounsky, B. Lehnert, M. Mészáros, P. R. Molnár, J. P. Vigier & S. Roy

  2. 11 Rutafa Street, Building H, Budapest, H-1165, Hungary

    P. K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. Crowell, G. J. Evans, M. W. Evans, R. Flower, S. Jeffers, A. Labounsky, B. Lehnert, M. Mészáros, P. R. Molnár, J. P. Vigier & S. Roy

  3. Faculty of Technology and Metallurgy, Department of Physics, University of Skopje, Republic of Macedonia

    P. K. Anastasovski

  4. CTEC Inc., Huntsville, Alabama

    T. E. Bearden

  5. Institute for Information Technology, Stuttgart University, Stuttgart, Germany

    C. Ciubotariu

  6. Department of Microelectronics and Electrical Engineering, Trinity College, Dublin 2, Ireland

    W. T. Coffey

  7. Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico

    L. B. Crowell

  8. Trinity College, Carnarthen, United Kingdom, SA3 3EP

    G. J. Evans

  9. Former Edward Davies Chemical Laboratories, University College of Wales, Aberystwyth, SY32 1NE, Wales, United Kingdom

    M. W. Evans

  10. Applied Science Associates, USA

    R. Flower

  11. Temple University Center for Frontier Sciences, Philadelphia, Pennsylvania

    R. Flower

  12. Department of Physics and Astronomy, York University, Toronto, Canada

    S. Jeffers

  13. The Boeing Company, Huntington Beach, California

    A. Labounsky

  14. Alfvén Laboratory, Royal Institute of Technology, Stockholm, S-100 44, Sweden

    B. Lehnert

  15. Laboratoire de Gravitation et Cosmologie Relativistes, Université Pierre et Marie Curie, BP 142, 4 Place Jussieu, 75252, Paris, Cedex 05, France

    J. P. Vigier

  16. George Mason University, Virginia

    S. Roy

  17. Indian Statistical Institute, Calcutta, India

    S. Roy

Authors
  1. P. K. Anastasovski
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  2. T. E. Bearden
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  3. C. Ciubotariu
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  4. W. T. Coffey
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  5. L. B. Crowell
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  6. G. J. Evans
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  7. M. W. Evans
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  8. R. Flower
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  9. S. Jeffers
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  10. A. Labounsky
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  11. B. Lehnert
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  12. M. Mészáros
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  13. P. R. Molnár
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  14. J. P. Vigier
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  15. S. Roy
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Anastasovski, P.K., Bearden, T.E., Ciubotariu, C. et al. DERIVATION OF THE LEHNERT FIELD EQUATIONS FROM GAUGE THEORY IN VACUUM: SPACE CHARGE AND CURRENT. Found Phys Lett 13, 179–184 (2000). https://doi.org/10.1023/A:1007883500760

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  • DOI: https://doi.org/10.1023/A:1007883500760

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