Gravity, Electromagnetism, Z2 Noncommunicative differential calculus, Kaluza-Klein theory
Algebraic Geometry | Cosmology, Relativity, and Gravity | Electromagnetics and Photonics | Physics
We present a unified description of gravity and electromagnetism in the framework of a Z 2 non-commutative 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.
Landi, Giovanni; Viet, Nguyen Ai; and Wali, Kameshwar C., "Gravity And Electromagnetism In Noncommutative Geometry" (1994). Physics. 26.