Brightwell, Graham R., Dowker, Fay, Garciá, Raquel S., Henson, Joe and Sorkin, Rafael D. (2003) "Observables" in causal set cosmology. Physical review D, 67 (8). Art. no. 084031. ISSN 1550-7998
For the theories known as classical sequential growth (CSG) models, it has been conjectured that, up to sets of measure zero, the “stem sets” generate the full σ-algebra of label-invariant measurable sets of causal sets. We prove this for a generic family of CSG models (the “generalized percolation models”). In consequence, we are able not only to identify the “observables” of these theories, but, more importantly, to provide them with an accessible physical interpretation. We suggest that the stem sets will play the same role of fundamental observable in the quantum analog of these theories, i.e. for quantum gravity.
|Additional Information:||© 2003 The American Physical Society|
|Library of Congress subject classification:||Q Science > QC Physics|
|Sets:||Departments > Mathematics|
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