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Phys. Rev. D 78, 064002 (2008) [6 pages]

Quantum mechanics versus equivalence principle

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Antonio Accioly1,2,3,* and Ricardo Paszko2,†
1Laboratório de Física Experimental (LAFEX), Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil
2Group of Field Theory from First Principles, Laboratório de Física Experimental (LAFEX), Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil
3Instituto de Física Teórica (IFT), São Paulo State University (UNESP), Rua Pamplona 145, 01405-000, São Paulo, SP, Brazil

Received 30 October 2006; published 2 September 2008

We consider the scattering of a photon by a weak gravitational field, treated as an external field, up to second order of the perturbation expansion. The resulting cross section is energy dependent which indicates a violation of Galileo’s equivalence principle (universality of free fall) and, consequently, of the classical equivalence principle. The deflection angle θ for a photon passing by the sun is evaluated afterward and the likelihood of detecting Δθ/θEθ-θE/θE (where θE is the value predicted by Einstein’s geometrical theory for the light bending) in the foreseeable future, is discussed.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.064002
DOI:
10.1103/PhysRevD.78.064002
PACS:
03.65.Sq, 04.80.Cc

*accioly@cbpf.br

rrpaszko@ift.unesp.br