It is too new for me to know for sure but I think it probably is. The action has a new kind of momentum, consisting of tetrahedral volume flowing along an edge-network: a "one dimensional branched manifold" derived from a simplicial decomposition of the original 4d manifold. Wieland calls the action the "spin-Regge" action and it is equation (50) on page 14 of this paper, which just appeared. http://arxiv.org/abs/1407.0025 New action for simplicial gravity in four dimensions Wolfgang M. Wieland (Submitted on 30 Jun 2014) We develop a proposal for a theory of simplicial gravity with spinors as the fundamental configuration variables. The underlying action describes a mechanical system with finitely many degrees of freedom, the system has a Hamiltonian and local gauge symmetries. We will close with some comments on the resulting quantum theory, and explain the relation to loop quantum gravity and twisted geometries. The paper appears in parallel with an article by Cortês and Smolin, who study the relevance of the model for energetic causal sets and various other approaches to quantum gravity. 26 pages, 2 figures.