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In the context of noncommutative (NCG) gauge gravity, and using a cosmic time power law formula for the scale factor, a Friedman-Robertson-Walker (FRW) like metric is obtained. Within the fermions tunneling effect approach and depending on the various intervals of the power parameter, expressions of the apparent horizon are also derived. It is shown that in some regions of the parameter space, a pure NCG trapped horizon does exist leading to new interpretation of the role played by the noncommutativity of the space-time. [ABSTRACT FROM AUTHOR]

In this paper, we apply Connes' noncommutative geometry and the Seiberg–Witten map to a discrete noncommutative space consisting of n copies of a given noncommutative space Rm. The explicit action functional of gauge fields on this discrete noncommutative space is obtained. [ABSTRACT FROM AUTHOR]