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@ARTICLE{Guedes:1038543,
author = {Guedes, Thiago Lucena Macedo and Marugán, Guillermo A.
Mena and Vidotto, Francesca and Müller, Markus},
title = {{C}omputing the graph-changing dynamics of loop quantum
gravity},
reportid = {FZJ-2025-01526, arXiv:2412.20257},
year = {2025},
note = {5 pages, 2 figures},
abstract = {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.},
cin = {PGI-2},
cid = {I:(DE-Juel1)PGI-2-20110106},
pnm = {5221 - Advanced Solid-State Qubits and Qubit Systems
(POF4-522)},
pid = {G:(DE-HGF)POF4-5221},
typ = {PUB:(DE-HGF)25},
eprint = {2412.20257},
howpublished = {arXiv:2412.20257},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2412.20257;\%\%$},
url = {https://juser.fz-juelich.de/record/1038543},
}