Principles of equivalence, Eotvos experiments, and gravitational red-shift experiments - The free fall of electromagnetic systems to post-post-Coulombian order

Details Principles of equivalence, Eotvos experiments, and gravitational red-shift experiments - The free fall of electromagnetic systems to post-post-Coulombian order Principles of equivalence, Eotvos experiments, and gravitational red-shift experiments - The free fall of electromagnetic systems to post-post-Coulombian order

May 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..15.2711h&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 15, May 15, 1977, p. 2711-2720. Research supported by the Alfred P. S

Physics

Nuclear Physics

17

Charged Particles, Electromagnetic Interactions, Free Fall, Gravitational Effects, Potential Energy, Red Shift, Coulomb Potential, Electrostatics, Gravitational Fields, Magnetostatics, Nuclei (Nuclear Physics), Spin-Orbit Interactions, Spin-Spin Coupling

Scientific paper

Free fall in an external static gravitational field of a composite test body consisting of electromagnetically interacting charged particles is analyzed using the TH-epsilon-mu formalism developed by Lightman and Lee (1973). The Lightman and Lee calculation that was carried out to 'post-Coulombian' order is extended to 'post-post-Coulombian' order, and violations of the weak equivalence principle are found which result from the magnetostatic self-energy of the test body. The current generation of Eotvos experiments is shown to test the cited formalism at first order in the external gravitational potential to an accuracy of 4 by 10 to the -10th power for electrostatic energies and 6 by 10 to the -6th power for magnetostatic energies. It is concluded that although the formalism can be tested to an accuracy of 0.04 for electrostatic energies at second order in the gravitational potential, a significant second-order test for magnetostatic energies would require Eotvos experiments accurate to better than one part in 10 to the 15th power.

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