Go to previous page Go up Go to next page

9.3 Applications

Once available, equations for inhomogeneous systems have the prospect of applications such as the following.
Structure formation:
 There are diverse scenarios for the early universe with a potential for viable structure formation, which can only be checked with a reliable handle on inhomogeneities. This applies to inflaton models with loop effects, inflation models without inflaton, and the generation of structure before a bounce and subsequent propagation through it.
Robustness:
 All results obtained so far have to be regarded as preliminary and their validity in the presence of perturbative inhomogeneities has to be established. A detailed analysis of their robustness to quantization freedom such as ambiguities or choosing matter fields is still to be undertaken.
New effects:
 Some cosmological issues that have not been addressed in detail so far by loop quantum gravity, and which most likely require inhomogeneities, are: the initial state of the inflaton (Gaussianity) or the present acceleration of cosmic expansion. The latter has been suggested to be a result of small, local quantum corrections adding up to a sizeable effect on the whole universe [73]. From a technical point of view, closer contact to quantum gravity phenomenology in a particle physics context should be made (as initially in [100]), especially including anomaly freedom and analyzing the status of Lorentz symmetry.
Ansatzs:
 For the time being, these questions can be addressed preliminarily by choosing suitable forms of inhomogeneous equations motivated by operators in full loop quantum gravity.

  Go to previous page Go up Go to next page