Principle of event symmetry

Abstract

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.

Properties of quantum graphity at low temperature

“…The idea is to represent locality by the adjacencies of a dynamical graph on which the diffeomorphism group is replaced, in the high energy phase, by the symmetric group on the complete graph which breaks down to its subgraphs at lower energies. These kind of models are sometimes called event-symmetric [12]). The principle of event symmetry refers to the replacement, at high energies, of the diffeomorphism group with the group of permutations of events in spacetime.…”

Self-Referential Noise and the Synthesis of Three-Dimensional Space

“…We call this approach a Heraclitean Process System (HPS) after Heraclitus of Ephesus (6 BCE) who, in western science, first emphasised the importance of process over object. We suggest that the SRN provides an important extension to the pregeometric class of modellings of reality [1,2,3].…”