## The Principle of Event-Symmetry

**Authors:** Philip Gibbs

To accommodate topology change, the symmetry of space-time must be extended from the
diffeomorphism group of a manifold, to the symmetric group acting on the discrete set of space-time
events. This is the principle of event-symmetric space-time. I investigate a number of physical
toy models with this symmetry to gain some insight into the likely nature of event-symmetric
space-time. In the more advanced models the symmetric group is embedded into larger structures
such as matrix groups which provide scope to unify space-time symmetry with the internal gauge
symmetries of particle physics. I also suggest that the symmetric group of space-time could be
related to the symmetric group acting to exchange identical particles, implying a unification
of space-time and matter. I end with a definition of a new type of loop symmetry which is
important in event-symmetric superstring theory.

**Comments:** 18 pages, Published in Int.J.Theor.Phys.35:1037-1062,1996.

**Download:** **PDF**

### Submission history

[v1] 23 Jul 2009

**Unique-IP document downloads:** 215 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*