Maths HEP Lunchtime Seminars: About the field to particle transition problem
31 October 2003 13:00 in CM221
"The field to particle transition problem can be considered as a first step towards the construction of a hypothetical field theory in which the matter wouldn't appear as an external magnitude, but it would arise as a consequence of the theory. The fields would be consider to be matter sources and the particles to be special configurations of the fields. In general the field configurations are characterized by parameters assuming values in a continuos spectrum, unlike the particles, which parameters take discrete values. In this work a topological and geometrical method is implemented to establish a discrete character for the parameters of gravitational configurations, some of which could be related to geometrical models for elementary particles of the kind of the theory of geons. Some explicit examples are considered obtaining diverse conditions of quantization, that is, the discretization of the parameters as well as some other indicatives of quantum behavior."