Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW
Abstract
Abstract The cosmological behavior associated to a U ( N ) -symmetry reduced sector of the loop-quantum-gravity truncation known as the two-vertex model is further explored in this work. We construct convenient frame bases that encode the classical phase space of the twisted geometry associated to the graph. We show that the polyhedra of the twisted geometry suffer under evolution an homothetic expansion, which strengthens the correspondence to the Robertson–Walker geometry.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Black Holes and Theoretical Physics
Cosmology and Gravitation Theories
Publication details
- Journal / source
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Volume
- 43
- Issue
- 3
- Pages
- 035017–035017
- Publication date
- 12 January 2026