arXiv subjects
Publications and source records attributed to P. E. Gibbs.
Open and Closed super-string field theories are constructed in an event-symmetric target space. The partition functions of Statistical and Quantum models are constructed in terms of invariants defined on Lie-algebra representations. An attractive feature of the closed string models is the elegant unification of the space-time symmetries with the gauge symmetries.
Field Theory on Event Symmetric space-time is constructed using the gauge group of discrete open strings. Models with invariant actions can be viewed as natural extensions of Matrix Models. The objective is to find a fundamental non-perturbative pre-theory for superstrings.
In the event symmetric approach to quantum gravity it is assumed that the fundamental laws of physics must be invariant under exchange of any two space-time events. The fact that this symmetry if obviously not observed is attributed to the possibility of a spontaneous symmetry breaking mechanism in which the residual symmetry is diffeomorphism invariance on a continuum. The approach has a discrete nature while dimensionality, continuity of space-time and causality are abandoned as fundamental principles. Consequently space-time is a dynamical object which may undergo changes of topology or dimension. A number of different types of Event Symmetric model are described. The most interesting models are event symmetric superstring models based on discrete string supergroups.