2020/11/20 by Alessandro Carotenuto, Carotenuto, Alessandro, Fedele Lizzi +5 · 1 citation
Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Advanced Algebra and Geometry #Black Holes and Theoretical Physics
paper · doi:10.48550/arxiv.2011.10628
We present a quantization of the functions of spacetime, i.e. a map, analog to Weyl map, which reproduces the κ-Minkowski commutation relations, and it has the desirable properties of mapping square integrable funcions into Hilbert-Schmidt operators, as well as real functions into self-adjoint operators. The map is based on Mellin transform on radial and time coordinates. The map also define a deformed * product which we discuss with examples.