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Loop quantum cosmology and the fine structure constant. (English) Zbl 1292.83062

Summary: The cosmological implications of introducing a variation to the fine structure ’constant’, \(\alpha\) are examined within the context of loop quantum cosmology. The evolution of \(\alpha\) is described using the model introduced by Bekenstein, Sandvik, Barrow and Magueijo, in which a ghost scalar field produces the variation. The dynamics of the system are examined in flat and closed cosmological settings. Matter consisting of the scalar field and radiation are examined with a thermodynamically motivated coupling between the two, which can lead to a series of bounces induced by both the negative density effects of the ghost field and the loop effects.

MSC:

83F05 Relativistic cosmology
83C45 Quantization of the gravitational field
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
81V05 Strong interaction, including quantum chromodynamics