R Aldrovandi et al 2004 Class. Quantum Grav. 21 51 doi:10.1088/0264-9381/21/1/004
R Aldrovandi, J G Pereira and K H Vu
Show affiliationsA non-integrable phase-factor global approach to gravitation is developed by using the similarity of teleparallel gravity to electromagnetism. The phase shifts of both the COW and the gravitational Aharonov–Bohm effects are obtained. It is then shown, by considering a simple slit experiment, that in the classical limit the global approach yields the same result as the gravitational Lorentz force equation of teleparallel gravity. It represents, therefore, the quantum mechanical version of the classical description provided by the gravitational Lorentz force equation. As teleparallel gravity can be formulated independently of the equivalence principle, it will consequently require no generalization of this principle at the quantum level.
04.20.-q Classical general relativity
04.50.-h Higher-dimensional gravity and other theories of gravity
04.25.-g Approximation methods; equations of motion
03.65.Ta Foundations of quantum mechanics; measurement theory
Issue 1 (7 January 2004)
Received 27 June 2003
Published 20 November 2003
R Aldrovandi et al 2004 Class. Quantum Grav. 21 51
R Willink 2007 Metrologia 44 182
Y Y Ye et al 2003 Nanotechnology 14 390
J Kovalevsky 1998 Rep. Prog. Phys. 61 77
superconductors
H D Drew et al 1996 J. Phys.: Condens. Matter 8 10037
Howard Baer et al JHEP10(2008)079
Sang-Jin Sin et al JHEP11(2009)001
Yoji Okabe et al 2002 Smart Mater. Struct. 11 892
P H Borcherds and C V Sheth 1995 Eur. J. Phys. 16 204
A N Aliev et al 2006 Class. Quantum Grav. 23 591