2017/09/26 by Andreas Sykora, Sykora, Andreas · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Numerical Analysis Techniques #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1709.08886
openalex publication_date 2017/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new type of matrix regularization, which is based on matrix-valued functions defined on a cylinder. If non-commutative coordinates of a fuzzy space are defined by a regularization of such functions, we show that a classical limit for the fuzzy spaces exists, when the matrix-valued functions nearly commute. In this case, the classical limit of the fuzzy space is a manifold, which is composed of coordinate patches that are defined by the diagonal entries of the diagonalized matrix-valued functions. As applications, an interpolation for direct sums of fuzzy spaces is described and a fuzzy string vertex with classical limit, i.e. a surface interconnecting three circles, is constructed.