24 citations · 33 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
A More Sensitive Lorentzian State Sum
Louis Crane, David Yetter
We give the construction modulo normalization of a new state sum model for lorentzian quantum general relativity, using the construction of Dirac's expansors to include quantum ope…
A New Approach to the Geometrization of Matter
Louis Crane
We show that the sum over geometries in the Lorentzian 4-D state sum model for quantum GR in [1] includes terms which correspond to geometries on manifolds with conical singulariti…
A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity
Louis Crane, Alejandro Perez, Carlo Rovelli
We show that the normalized Lorentzian state sum is finite on any triangulation. It thus provides a candidate for a perturbatively finite quantum theory of general relativity in fo…
Hypergravity and Categorical Feynmanology
Louis Crane
We propose a new line of attack to create a finite quantum theory which includes general relativity and (perhaps) the standard model in its low energy limit. The theory would emerg…
An Octonionic Geometric (Balanced) state Sum Model
Louis Crane
We propose a new 4D state sum model, related to the balanced model, which is constructed using the octonions, or equivalently, triality. An effective continuum physical theory cons…