Speaker
Joseph Samuel
Description
Abstract:
The spin-statistics theorem has a long history and has been proved under a variety of assumptions. However, the consensus is that we do not yet understand the spin-statistics connection in its most intuitive and elementary form. In this work, we try to fill this gap by giving an intuitive, topological proof based on the idea that the histories of spinning elementary particles can be modeled as ribbons. This idea is then shown to emerge from group theoretical and geometric considerations based on Poincare symmetry and co-adjoint orbits.The geometric phase plays a natural role in these considerations.