Observables in Extended Percolation Models of Causal Set Cosmology

TL;DR

This paper characterizes covariant observables in extended classical sequential growth models for causal sets, advancing understanding of quantum causal set cosmology by extending previous results on generalised percolation.

Contribution

It extends the complete characterization of covariant observables in generalised percolation models to a broader class of extended models.

Findings

Covariant observables are fully characterized by stem sets in the extended models.

The extension maintains the completeness of the observable characterization.

Provides insights into the nature of observables in quantum causal set cosmology.

Abstract

Classical sequential growth models for causal sets provide an important step towards the formulation of a quantum causal set dynamics. The covariant observables in a class of these models known as generalised percolation have been completely characterised in terms of physically well-defined ``stem sets'' and yield an insight into the nature of observables in quantum causal set cosmology. We discuss a recent extension of generalised percolation and show that the characterisation of covariant observables in terms of stem sets is also complete in this extension.