Foundations of Physics

, Volume 22, Issue 12, pp 1485–1494 | Cite as

Electromagnetic gauge as an integration condition: De Broglie's argument revisited and expanded

  • O. Costa de Beauregard
Part III. Invited Papers Dedicated To Louis De Broglie


Einstein's mass-energy equivalence law, argues de Broglie, by fixing the zero of the potential energy of a system,ipso facto selects a gauge in electromagnetism. We examine how this works in electrostatics and in magnetostatics and bring in, as a “trump card,” the familiar, but highly peculiar, system consisting of a toroidal magnet m and a current coil c, where none of the mutual energy W resides in the vacuum. We propose the principle of a crucial test for measuring the fractions of W residing in m and in c; if the latter is nonzero, the (fieldless) vector potential has physicality. Also, using induction for transferring energy from the magnet to a superconducting current, we prove that W is equipartitioned between m and c.


Potential Energy Electromagnetism Vector Potential Integration Condition Current Coil 
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • O. Costa de Beauregard
    • 1
  1. 1.Institut Henri PoincaréParisFrance

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