  Achieving disentangled representations of information is one of the key goals
of deep network based machine learning system. Recently there are more
discussions on this issue. In this paper, by comparing the geometric structure
of disentangled representation and the geometry of the evolution of mixed
states in quantum mechanics, we give a fibre bundle based geometric picture of
disentangled representation which can be regarded as a kind of gauge theory.
From this perspective we can build a connection between the disentangled
representations and the twins paradox in relativity. This can help to clarify
some problems about disentangled representation.
