In his study “What are the best hierarchical organizations for the success of a common endeavour” [Mathematical Anthropology and Cultural Theory 9, 1 (2016)] Gil uses coupled oscillator networks as a model for socially interacting individuals. In this commentary, I argue that such networks could also be related with lattice gauge theory. The most stable lattice gauge society would be an open society whose gauge invariance indicates the existence of universal values, such as human rights.