Topological charge as electric charge – can we get all particles this way?
Jarek Duda (Jagiellonian University)
Abstract: We can repair Gauss law to return only integer charges (as in nature) by interpreting EM field as curvature of some e.g. vector field, this way counting winding number (topological charge) using Gauss-Bonnet theorem as Gauss law (Faber’s model). I will lightly introduce it and would like to discuss if we could expand it to a field which excitations (e.g. topological) agree with the entire particle physics, could be effectively described by something close to the Standard Model.
Kind of superfuid biaxial nematic: 3 distinguishable axes in every point (using tensor field instead of molecules) seems quite promising here. They can form hedgehog configuration with one of 3 axes, getting 3 leptons (as spatial dimensions), trying to align the second axis for it we cannot do it due to the hairy ball theorem (no naked charges – leptons need magnetic dipoles), then baryon-like configurations enforcing some positive charge: needed to be compensated in neutron (hence it is heavier than proton), charge is shared in deuteron for binding (leading to observed electric quadrupole moment).
mathematical physicsgeneral physicsquantum physics
Audience: general audience
QM Foundations & Nature of Time seminar
Series comments: Description: Physics foundations discussion seminar
Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT
| Organizer: | Jarek Duda* |
| *contact for this listing |