Problem, interface, and scope

The object of this paper is one incidence event involving the actual singular worldline of a fixed conical spacetime. The event is not obtained by attaching a particle label to a vacuum exchange, and its support is not enlarged merely to include an otherwise unused particle. The particle's combinatorial link changes from a three-cycle to a six-cycle.

The conical description of a stationary spinless particle is classical DJH1984. Particle-associated polygon transitions also occur in the classical polygon literature Hooft1992,Hooft1993. We do not claim to introduce particle-supported transitions as such. The contribution here is an explicit construction together with a complete geometric and finite-interface certificate. Polygon and holonomy terminology is compatible with the language of Kadar2005; no constraint-algebra result from that work is used.

All mathematical assumptions needed below are stated explicitly. In particular, the construction does not depend on an unpublished length table or an unspecified reversible compiler.