München 2009 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Quantentheorie und Quantisierung 2

MP 5.4: Talk

Wednesday, March 11, 2009, 10:00–10:20, M010

Knots, particles and the geometry of 3-manifolds — •Torsten Aßelmeyer-Maluga¹ and Helge Rosé² — ¹Aerospace Center (DLR), Rutherfordstr. 2, 12489 Berlin — ²FhG FIRST, Kekulestr.7, 12489 Berlin

The model of Bilson-Thompson (hep-th/0603022 ) and its extension (arXiv:0804.0037) was the starting point in using again knots and links as a model for particles. It has some attractive features but many questions are open. We study an essential modification of the model which uses knot complements. Then we will get a connection between the particular knot and the geometry of the 3-manifold. This implies a relation between knot invariants and physical properties of a particle. The quantization using topology will be also discussed.