Gravity and Electromagnetism in Noncommutative Geometry
Abstract
We present a unified description of gravity and electromagnetism in the framework of a Z2 noncommutative differential calculus. It can be considered as a ``discrete version" of Kaluza-Klein theory, where the fifth continuous dimension is replaced by two discrete points. We derive an action which coincides with the dimensionally reduced one of the ordinary Kaluza-Klein theory.
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