Fiber bundle (see http://mathworld.wolfram.com/FiberBundle.html and http://en.wikipedia.org/wiki/Fiber_bundle) is a generalization of all one-to-one correspondences. Loop (see http://mathworld.wolfram.com/Loop.html and http://mathworld.wolfram.com/Link.html), on the other hand, is a generalization of many-to-many correspondences. The former is functional, the latter is dysfunctional. The former is finite in time and space, it has beginning and end. The latter is timeless, no beginning and no end. If a group of loops is cut forming parallel displacements then it can act as fiber bundle. However, the cutting process is not necessary since it can destroy the intrinsic topology. Anyway, who would want to cut the universe into halves? Therefore, it makes more sense to theorize the universe as a hierarchy of loops linking and touching among themselves in a perfect harmony. If the association is evenly distributed then energy would be radiated. If oddly distributed then matter would be materialized. If all energy and matter group together then the result is a gigantic link of positive and negative universal vacuum field (see http://en.wikipedia.org/wiki/Field_(mathematics)).


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