New Constraints on Quantum Gravity from X-ray and Gamma-Ray Observations - INSPIRE

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New Constraints on Quantum Gravity from X-ray and Gamma-Ray Observations

E.S. Perlman
(
- Intersil, Melbourne and
- Florida Inst. Tech.
)
,
S.A. Rappaport
(
- MIT, MKI and
- MIT, Cambridge, Dept. Phys.
)
,
W.A. Christiansen
(
- North Carolina U.
)
,
Y.J. Ng
(
- North Carolina U.
)
,
J. DeVore
(
- Artep Inc.
)

Nov 26, 2014

10 pages

Published in:

Astrophys.J. 805 (2015) 1, 10

Published: May 13, 2015

e-Print:

1411.7262 [astro-ph.CO]

DOI:

10.1088/0004-637X/805/1/10

View in:

ADS Abstract Service

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Abstract: (IOP)

One aspect of the quantum nature of spacetime is its “foaminess” at very small scales. Many models for spacetime foam are defined by the accumulation power α, which parameterizes the rate at which Planck-scale spatial uncertainties (and the phase shifts they produce) may accumulate over large path lengths. Here α is defined by the expression for the path-length fluctuations,

\delta \ell

, of a source at distance ℓ, wherein

\delta \ell \simeq {{\ell }^{1-\alpha }}\ell _{{\rm P}}^{\alpha }

, with

{{\ell }_{{\rm P}}}

being the Planck length. We reassess previous proposals to use astronomical observations of distant quasars and active galactic nuclei to test models of spacetime foam. We show explicitly how wavefront distortions on small scales cause the image intensity to decay to the point where distant objects become undetectable when the path-length fluctuations become comparable to the wavelength of the radiation. We use X-ray observations from Chandra to set the constraint

\alpha \gtrsim 0.58

, which rules out the random-walk model (with

\alpha =1/2

). Much firmer constraints can be set by utilizing detections of quasars at GeV energies with Fermi and at TeV energies with ground-based Cerenkov telescopes:

\alpha \gtrsim 0.67

and

\alpha \gtrsim 0.72

, respectively. These limits on α seem to rule out

\alpha =2/3

, the model of some physical interest.

Note:

10 pages, 8 figures, resubmitted to ApJ after comments by referee •
11 pages, 9 figures, ApJ, in press

cosmology: theory
elementary particles
gravitation
methods: data analysis
methods: statistical
quasars: general
quantum gravity
X-ray
gamma ray
space-time: foam

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