TY  - EJOUR
AU  - Guedes, Thiago Lucena Macedo
AU  - Marugán, Guillermo A. Mena
AU  - Vidotto, Francesca
AU  - Müller, Markus
TI  - Computing the graph-changing dynamics of loop quantum gravity
IS  - arXiv:2412.20257
M1  - FZJ-2025-01526
M1  - arXiv:2412.20257
PY  - 2025
N1  - 5 pages, 2 figures
AB  - In loop quantum gravity (LQG), quantum states of the gravitational field are represented by labelled graphs called spinnetworks. Their dynamics can be described by a Hamiltonian constraint, which modifies the spinnetwork graphs. Fixed graph approximations of the dynamics have been extensively studied, but its full graph-changing action so far remains elusive. The latter, alongside the solutions of its constraint, are arguably the missing features to access physically correct quantum-relativistic phenomenology from canonical LQG. Here, we introduce the first numerical tool that implements graph-changing dynamics via the Hamiltonian constraint. We find new solutions to this constraint and show that some quantum-geometrical observables behave differently than in the graph-preserving truncation. This work aims at fostering a new era of numerical simulations in canonical LQG that, crucially, embrace the graph-changing aspects of its dynamics, laying aside debated approximations.
LB  - PUB:(DE-HGF)25
UR  - https://juser.fz-juelich.de/record/1038543
ER  -