Quantum Gravity and String Theory


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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[v1] 23 Jul 2009

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