https://arxiv.org/pdf/1103.4602.pdf

*Curvature in spinfoams*
Elena Magliaro and Claudio Perini
Institute for Gravitation and the Cosmos, Physics Department,
Penn State, University Park, PA 16802-6300, USA
(Dated: June 10, 2018)

We consider spinfoam quantum gravity. We show in a simple case that the 
amplitude projects over a nontrivial (curved) classical geometry. This 
suggests that, at least for spinfoams without bubbles and for large values 
of the boundary spins, the amplitude takes the form of a path integral over 
Regge metrics, thus enforcing discrete Einstein equations in the classical 
limit. The result relies crucially on a new interpretation of the 
semiclassical limit for the amplitudes truncated to a fixed 2-complex.

The physical picture emerging from the spinfoam gravity is that of a 
discrete, combinatorial spacetime structure (a quantum foam of virtual 
geometries), where the Plank scale plays the role of a
natural minimal length. Spinfoams are the result of the quantization of 
general relativity formulated as a constrained BF theory. 

@philipthrift

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