Definitions for "Holonomy"
the systematized knowledge of being and existence as an integrated whole.
derived from holo-, "whole", and "-nomy", "law or principle governing or pertaining to", holonomy refers to the law or principle governing whole systems, while holonomics describes the study or investigation of this law or principle. As a descriptive term, holonomy ultimately refers to the universe entire as a dynamic interwoven web, transcending partial or analytical definition. (Jose Arguelles)
Refers to the principle governing whole systems that transcends partial or analytical definition.
In differential geometry, the holonomy group of a connection on a vector bundle over a smooth manifold M is the group of linear transformations induced by parallel transport around closed loops in M. There is an analogous notion for connections on principal bundles over M. The holonomy group of a connection is intimately associated with the curvature of that connection.