On the Possibility of a Trans-Planckian Duality
arXiv:0908.3034 · doi:10.1088/0264-9381/26/22/225001
Abstract
We investigate the possibility of a trans-Planckian duality, which exchanges a manifold of events (space-time), with a manifold of momenta (energy-momentum). Gravity has a dual counter-part, that is, a geometric theory defined on the manifold of momenta. We provide a mathematical framework that can possibly realize this idea, and analyze its classical behaviour.
21 pages, 4 figures