## 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.

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### Submission history

[v1] 23 Jul 2009

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