String bit models of two-dimensional quantum gravity coupled with matter

TL;DR

This paper extends string bit models of 2D quantum gravity to include particles, revealing how particle configurations influence universe models and establishing a metamodel with transition amplitudes matching the sl(2) gravity model.

Contribution

It introduces a unified formalism for particle-coupled 2D quantum gravity models and demonstrates their equivalence to the sl(2) gravity model through a comprehensive metamodel.

Findings

Single-particle models mimic empty universe behaviors

Two distinguishable particles in a closed universe behave like an empty closed universe

Metamodel's transition amplitude matches the sl(2) gravity model

Abstract

We extend the formalism of Hamiltonian string bit models of quantum gravity type in two spacetime dimensions to include couplings to particles. We find that the single-particle closed and open universe models respectively behave like empty open and closed universes, and that a system of two distinguishable particles in a closed universe behaves like an empty closed universe. We then construct a metamodel that contains all such models, and find that its transition amplitude is exactly the same as the sl(2) gravity model.