%0 Generic %1 citeulike:344488 %A Schmelzer, Ilja %D 2003 %K interpretation space-geometric %T Space-geometric interpretation of standard model fermions %U http://arxiv.org/abs/hep-th/0310241 %X Based on the geometric interpretation of the Dirac equation as an evolution equation on the three-dimensional exterior bundle /(R^3), we propose the bundle (T x / x /)(R^3) as a geometric interpretation of all standard model fermions. The generalization to curved background requires an ADM decomposition M^4=M^3 x R and gives the bundle (T x / x /)(M^3). As a consequence of the geometric character of the bundle there is no necessity to introduce a tetrad or triad formalism. Our space-geometric interpretation associates colors as well as fermion generations with directions in space, electromagnetic charge with the degree of a differential form, and weak interactions with the Hodge star operator. The space-geometric interpretation leads to different physical predictions about the connection of the SM with gravity, but gives no such differences on Minkowski background.

@misc{citeulike:344488, abstract = {Based on the geometric interpretation of the Dirac equation as an evolution equation on the three-dimensional exterior bundle /(R^3), we propose the bundle (T x / x /)(R^3) as a geometric interpretation of all standard model fermions. The generalization to curved background requires an ADM decomposition M^4=M^3 x R and gives the bundle (T x / x /)(M^3). As a consequence of the geometric character of the bundle there is no necessity to introduce a tetrad or triad formalism. Our space-geometric interpretation associates colors as well as fermion generations with directions in space, electromagnetic charge with the degree of a differential form, and weak interactions with the Hodge star operator. The space-geometric interpretation leads to different physical predictions about the connection of the SM with gravity, but gives no such differences on Minkowski background.}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Schmelzer, Ilja}, biburl = {https://www.bibsonomy.org/bibtex/29282988bee072d0e913850d56818f040/a_olympia}, citeulike-article-id = {344488}, description = {citeulike}, eprint = {hep-th/0310241}, interhash = {e4434bf659c50e75d9edf2b6552675fe}, intrahash = {9282988bee072d0e913850d56818f040}, keywords = {interpretation space-geometric}, month = Oct, priority = {2}, timestamp = {2007-08-18T13:22:43.000+0200}, title = {Space-geometric interpretation of standard model fermions}, url = {http://arxiv.org/abs/hep-th/0310241}, year = 2003 }