PreprintarXiv licencearXiv
Global variables and dynamics of emergent cosmology in loop gravity
Abstract
Deriving emergent cosmology from the discrete geometry of Loop Quantum Gravity remains an open challenge. We solve the two-vertex model exactly, including general non-symmetric configurations, by introducing macroscopic global variables that form a closed Poisson subalgebra. This yields an intrinsic minimal area gap from the Casimir invariants of the subalgebra. In the semiclassical limit, a generalized Friedmann equation emerges incorporating graph anisotropies and quantum geometry corrections, which lead to a Big Bounce. This global formulation opens a coarse-graining route toward statistical descriptions of quantum spacetime.
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BibTeX
@misc{garay2026global,
title = {{Global variables and dynamics of emergent cosmology in loop gravity}},
author = {Iñaki Garay and Luis J. Garay and Diego H. Gugliotta and Sergio Rodríguez-González and Raül Vera},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31123},
eprint = {2609.31123},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31123},
}
RIS
TY - UNPB
TI - Global variables and dynamics of emergent cosmology in loop gravity
AU - Iñaki Garay
AU - Luis J. Garay
AU - Diego H. Gugliotta
AU - Sergio Rodríguez-González
AU - Raül Vera
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31123
UR - https://arxiv.org/abs/2609.31123
AB - Deriving emergent cosmology from the discrete geometry of Loop Quantum Gravity remains an open challenge. We solve the two-vertex model exactly, including general non-symmetric configurations, by introducing macroscopic global variables that form a closed Poisson subalgebra. This yields an intrinsic minimal area gap from the Casimir invariants of the subalgebra. In the semiclassical limit, a generalized Friedmann equation emerges incorporating graph anisotropies and quantum geometry corrections, which lead to a Big Bounce. This global formulation opens a coarse-graining route toward statistical descriptions of quantum spacetime.
ER -