24 citations · 24 across the 3 of their papers we have counts for
3 papers
gr-qc2004
On state sums, internalisation and unification
M. D. Sheppeard
In this mostly expository article, elements of higher category theory essential to the construction of a class of four dimensional quantum geometric models are reviewed. These mode…
math.QA2003★ 24 cited
2-categorical Poincare Representations and State Sum Applications
L. Crane, M. D. Sheppeard
This is intended as a self-contained introduction to the representation theory developed in order to create a Poincare 2-category state sum model for Quantum Gravity in 4 dimension…
gr-qc2003
The geometrization of matter proposal in the Barrett-Crane model and resolution of cosmological problems
S. Alexander, L. Crane, M. D. Sheppeard
We give an overview of the current issues in early universe cosmology and consider the potential resolution of these issues in an as yet nascent spin foam cosmology. The model is t…