On the possibility of a trans-Planckian duality
On the possibility of a trans-Planckian duality
We investigate the possibility of a trans-Planckian duality, which exchanges a manifold of events (space-time), with a manifold of momenta (energymomentum).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 …