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Phys. Rev. Lett. 100, 031301 (2008) [4 pages]

Lower Limit to the Scale of an Effective Quantum Theory of Gravitation

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R. R. Caldwell1 and Daniel Grin2
1Department of Physics & Astronomy, Dartmouth College, Hanover, New Hampshire 03755, USA
2California Institute of Technology, Mail Code 130-33, Pasadena, California 91125, USA

Received 6 June 2006; revised 19 September 2007; published 22 January 2008

An effective quantum theory of gravitation in which gravity weakens at energies higher than ∼10-3  eV is one way to accommodate the apparent smallness of the cosmological constant. Such a theory predicts departures from the Newtonian inverse-square force law on distances below ∼0.05  mm. However, it is shown that this modification also leads to changes in the long-range behavior of gravity and is inconsistent with observed gravitational lenses.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.031301
DOI:
10.1103/PhysRevLett.100.031301
PACS:
04.60.−m, 04.50.−h, 04.80.Cc