45 citations · 179 across the 30 of their papers we have counts for
30 papers
Discrete Quantum Gravity: II. Simplicial complexes, irreps of SL(2,C), and a Lorentz invariant weight in a state sum model
P. Kramer, M. Lorente
In part I of [1] we have developed the tensor and spin representation of SO(4) in order to apply it to the simplicial decomposition of the Barrett-Crane model. We attach to each fa…
Causal spin foams and the ontology of spacetime
Miguel Lorente
We present some modern theories on the structure of spacetime that can be classified as relational theories in the direction of Leibniz's ontology. In order to analyze the nature o…
Spin networks in quantum gravity
M. Lorente
This is a review paper about one of the approaches to unify Quantum Mechanics and the theory of General Relativity. Starting from the pioneer work of Regge and Penrose other scient…
A combinatorial approach to discrete geometry
L. Bombelli, M. Lorente
We present a paralell approach to discrete geometry: the first one introduces Voronoi cell complexes from statistical tessellations in order to know the mean scalar curvature in te…
A discrete curvature on a planar graph
M. Lorente
Given a planar graph derived from a spherical, euclidean or hyperbolic tessellation, one can define a discrete curvature by combinatorial properties, which after embedding the grap…
Discrete quantum gravity: the Lorentz invariant weight for the Barrett-Crane model
M. Lorente
In a recent paper [1] we have constructed the spin and tensor representations of SO(4) from which the invariant weight can be derived for the Barrett-Crane model in quantum gravity…