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Gravitation: global formulation and quantum effects

R Aldrovandi, J G Pereira and K H Vu

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A 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.


PACS

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

MSC

83C10 Equations of motion

Subjects

Gravitation and cosmology

Quantum information and quantum mechanics

Dates

Issue 1 (7 January 2004)

Received 27 June 2003

Published 20 November 2003



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