FALSE: The EPRL amplitude is supported on flat connections
Abstract
There is an error in our recent preprint ``The EPRL amplitude is supported on flat connections''. The error is in Section 3. Here we leave the original text unchanged, but add a note in Section 3 pointing out exactly what the error is. We apologize for the false alarm. After one month, this preprint will be withdrawn from the arxiv. {\bf Original Abstract:} For the version of the EPRL model based on the original vertex amplitude and the face amplitude selected by its gluing properties, we prove that the EPRL amplitude of any region with the topology of a 4-ball is supported on flat connections. We state immediate consequences of this result, comment on some applications, and discuss physical implications. The results hold in general; they do not rely on a semiclassical analysis.
Cite
@article{arxiv.2603.17207,
title = {FALSE: The EPRL amplitude is supported on flat connections},
author = {Carlos E. Beltrán and José A. Zapata},
journal= {arXiv preprint arXiv:2603.17207},
year = {2026}
}
Comments
The paper contains a big mistake about the EPRL amplitude