This is just a sample of the papers suggesting what we might want to calculate (in order to confront with observational data). I see there are a lot more.
http://arxiv.org/abs/1204.1288
Perturbations in loop quantum cosmology
Ivan Agullo, Abhay Ashtekar, William Nelson
(Submitted on 5 Apr 2012)
The era of precision cosmology has allowed us to accurately determine many important cosmological parameters,
in particular via the CMB. Confronting Loop Quantum Cosmology with these observations provides us with a powerful test of the theory. For this to be possible we need a detailed understanding of the generation and evolution of inhomogeneous perturbations during the early, Quantum Gravity, phase of the universe. Here we describe how Loop Quantum Cosmology provides a completion of the inflationary paradigm, that is consistent with the observed power spectra of the CMB...
http://arxiv.org/abs/1007.2396
Constraints on standard and non-standard early Universe models from CMB B-mode polarization
Yin-Zhe Ma, Wen Zhao, Michael L. Brown
(Submitted on 14 Jul 2010 (v1), last revised 21 Sep 2010 (this version, v2))
We investigate the observational signatures of three models of the early Universe in the B-mode polarization of the Cosmic Microwave Background (CMB) radiation. In addition to the standard single field inflationary model, we also consider the constraints obtainable on the loop quantum cosmology model (from
Loop Quantum Gravity) and ...
http://arxiv.org/abs/1109.4239
Probing
Loop Quantum Gravity with Evaporating Black Holes
Aurelien Barrau, Xiangyu Cao, Jacobo Diaz-Polo, Julien Grain, Thomas Cailleteau
http://arxiv.org/abs/1011.1811
Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental
LQC Parameters
J. Grain, A. Barrau, T. Cailleteau, J. Mielczarek
http://arxiv.org/abs/1003.4660
Inflation in
loop quantum cosmology: Dynamics and spectrum of gravitational waves
Jakub Mielczarek, Thomas Cailleteau, Julien Grain, Aurelien Barrau
[The point is that ancient gravitational wave are FROZEN in the microwave sky, greatly magnified by subsequent expansion. One can make predictions about what will be seen as higher resolution maps of the CMB are made.]
http://arxiv.org/abs/1106.5059
Tensor Tilt from Primordial B-modes
Brian A. Powell
(Submitted on 24 Jun 2011...)
A primordial cosmic microwave background B-mode ... These models can be differentiated by the scale dependence of their tensor spectra: inflation predicts a red tilt (n
T<0), string gases and
loop quantum cosmology predict a blue tilt (n
T>0), while a nonsingular matter bounce gives zero tilt (n
T=0). We perform a Bayesian analysis to determine ... While a future mission like CMBPol will offer improvement, only an ideal satellite mission will be capable of providing sufficient Bayesian evidence to distinguish between each model considered.
8 pages, 4 figures. ... Version to appear in Mon. Not. R. Astron. Soc
http://arxiv.org/abs/0902.0145
Cosmological footprints of
loop quantum gravity
J. Grain, A. Barrau
http://arxiv.org/abs/0912.1823
A model for non-singular black hole collapse and evaporation
Sabine Hossenfelder, Leonardo Modesto, Isabeau Prémont-Schwarz
(Submitted on 9 Dec 2009 (v1), last revised 24 Feb 2010 (this version, v3))
We study the formation of a black hole and its subsequent evaporation in a model employing a minisuperspace approach to
loop quantum gravity. In previous work the static solution was obtained and shown to be singularity-free. Here, we examine the more realistic dynamical case by generalizing the static case with help of the Vaidya metric. We track the formation and evolution of trapped surfaces during collapse and evaporation and examine the buildup of quantum gravitationally caused stress-energy preventing the formation of a singularity...
http://arxiv.org/abs/1202.0412
Emission spectra of self-dual black holes
Sabine Hossenfelder, Leonardo Modesto, Isabeau Prémont-Schwarz
(Submitted on 2 Feb 2012 (v1), last revised 15 Feb 2012 (this version, v2))
We calculate the particle spectra of evaporating self-dual black holes that are potential dark matter candidates. We first estimate the relevant mass and temperature range and find that the masses are below the Planck mass, and the temperature of the black holes is small compared to their mass. In this limit, we then derive the number-density of the primary emission particles,... We finally arrive at the expression for the spectrum of secondary particle emission from a dark matter halo constituted of self-dual black holes.
[This is a longshot high risk research direction but its the kind of thing I am hoping to see more of. Small LQG black holes behave distinctly differently from small Hawking ones. I'd like to see more observable stuff calculated about this. It's barely possible that clouds of dark matter contain small black holes and have a distinctive radiation spectrum.]
However the main LQG phenomenology is in the area of early universe cosmology.
Agullo gave an invited talk about this at the April meeting of the American Physical Society (APS) in Atlanta.
