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Derivation of O(3) Electrodynamics from the Einstein–Sachs Theory of General Relativity
Authors:P. K. Anastasovski  T. E. Bearden  C. Ciubotariu  W. T. Coffey  L. B. Crowell  G. J. Evans  M. W. Evans  R. Flower  A. Labounsky  B. Lehnert  M. Mészáros  P. R. Molnár  J. K. Moscicki  S. Roy  J. P. Vigier
Affiliation:(1) Institute for Advanced Study, Alpha Foundation, Institute of Physics, 11 Rutafa Street, Building H, Budapest, H-1165, Hungary;(2) Faculty of Technology and Metallurgy, Department of Physics, University of Skopje, Republic of Macedonia;(3) CTEC Inc., Huntsville, Alabama;(4) Institute for Information Technology, Stuttgart University, Stuttgart, Germany;(5) Department of Microelectronics and Electrical Engineering, Trinity College, Dublin, 2, Ireland;(6) Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico;(7) Ceredigion County Council, Aberaeron, Wales, United Kingdom;(8) Edward Davies Chemical Laboratories, University College of Wales, Aberystwyth, SY32 1NE Wales, United Kingdom;(9) JRF, Wolfson College, Oxford, United Kingdom;(10) Applied Science Associates and Temple University Center for Frontier Sciences, Philadelphia, Pennsylvania;(11) The Boeing Company, Huntington Beach, California;(12) Alfvén Laboratory, Royal Institute of Technology, Stockholm, S-100 44, Sweden;(13) Institute of Physics, Alpha Foundation, 11 Rutafa Street, Building H, Budapest, H-1165, Hungary;(14) Smoluchowski, Institute of Physics, Jagellonian University, ul Reymonta 4, Krakow, Poland;(15) Indian Statistical Institute, Calcutta, India;(16) Laboratoire de Gravitation et Cosmologie Relativistes, Université Pierre et Marie Curie, Tour 22-12, 4 ème étage, 4 Place Jussieu, 7525 Paris, Cedex 05, France
Abstract:General relativity is reduced to O(3) electrodynamics by consideration of the irreducible representations of the Einstein group and through a particular choice of basis. The photon is shown always to possess a scalar curvature R, and so the origin of quantization is found in general relativity.
Keywords:Einstein–  Sachs theory of general relativity  O(3) electrodynamics  origin of Planck's constant
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