Lower Limit to the Scale of an Effective Theory of Gravitation

Abstract

We consider a linearized, effective quantum theory of gravitation in which gravity weakens at energies higher than ~10^-3 eV in order to accommodate the apparent smallness of the cosmological constant. Such a theory predicts departures from the static Newtonian inverse-square force law on distances below ~0.05 mm. However, we show that such a modification also leads to changes in the long-range behavior of gravity and is inconsistent with observed gravitational lenses.

arXiv comment4 pages, 1 figures. V3: matches published version

References in corpus (27)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• Cosmological Constant - the Weight of the Vacuum
• The Cosmological Constant
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• General relativity as an effective field theory: The leading quantum corrections
• Can the dark energy equation-of-state parameter w be less than -1?
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Supernova Limits on the Cosmic Equation of State
• The phantom menaced: constraints on low-energy effective ghosts
• Sub-millimeter tests of the gravitational inverse-square law: A search for "large" extra dimensions
• Sub-millimeter Tests of the Gravitational Inverse-square Law
• New Experimental Limits on Macroscopic Forces Below 100 Microns
• New Experimental Constraints on Non-Newtonian Forces below 100 microns
• Eikonal Quantum Gravity and Planckian Scattering
• Duality and zero-point length of spacetime
• Constraints on Yukawa-Type Deviations from Newtonian Gravity at 20 Microns
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Gradient instability for w < -1
• Fat Gravitons, the Cosmological Constant and Sub-millimeter Tests
• A Symmetry for the Cosmological Constant
• A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
• Scale-dependent metric and causal structures in Quantum Einstein Gravity
• Constraining H0 from Chandra Observations of Q0957+561
• Dark Energy and the Nature of the Graviton
• Fat Euclidean Gravity with Small Cosmological Constant

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