Foundations of Physics

, Volume 3, Issue 4, pp 493–498 | Cite as

Quantum aspects of the equivalence principle

  • Y. Aharonov
  • G. Carmi


Two thought experiments are discussed which suggest, first, a geometric interpretation of the concept of a (say, vector) potential (i.e., as a kinematic quantity associated with a transformation between moving frames of reference suitably related to the problem) and, second, that, in a quantum treatment one should extend the notion of the equivalence principle to include not only the equivalence of inertial forces with suitable “real” forces, but also the equivalence of potentials of such inertial forces and the potentials of suitable real forces. The two types of cancellation are physically independent of each other, because of the Aharonov-Bohm effect. Finally, we show that the latter effect itself can be understood “geometrically” as a kinematic effect arising upon the transformation between the two reference frames.


Reference Frame Inertial Force Thought Experiment Geometric Interpretation Equivalence Principle 
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Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • Y. Aharonov
    • 1
  • G. Carmi
    • 2
  1. 1.Department of PhysicsUniversity of South CarolinaColumbia
  2. 2.Department of PhysicsSt. John's UniversityJamaica

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