Imagination and extrapolation could lead one to believe that the list of definitions in answer to this question is infinite in length.
Therefore a suggestion and hypothesis for a common factor, which may appear tacitly in all definitions:
unMonastery provides focal points for human initiative, which seek to build trust in interactions.
Perhaps inelegant, perhaps imprecise. Hopefully relatable.
There's something to be said about the way in which it does this - e.g. by facilitating intercultural dialogue; by addressing economic & ecological sustainability as a common issue; by providing a platform for expression; by enabling action