Born Reciprocity and Cosmic Accelerations
arXiv:1506.02187
Abstract
The trans-Planckian theory is a model that realizes concretely the Born reciprocity idea, which is the postulate of absolute equivalence between coordinate and momenta . This model is intrinsically global, and thus it is naturally implemented in a cosmological setting. Cosmology and Born reciprocity are made for each other. Inflation provides the essential mechanism to suppress the terms coming from the dual part of the action. The trans-Planckian theory provides an explanation for the present acceleration of the universe scale factor. This is possible just considering a simple model that contains gravity, one gauge field plus one matter field (to be identified with dark matter), together with the reciprocity principle.
22 pages, 5 figures. v2: minor corrections. v3: book chapter of "Advances in Dark Energy Research". v4: some corrections