Plasma oscillations in a generalized Snyder space

Since Snyder was the first to present the theory of quantized space–time, many studies have been devoted to various phenomenological aspects of this theory. In this paper, we investigate the plasma frequency in a generalized Snyder space. The electron and ion plasma waves in a generalized Snyder space are found. We estimate the upper bound on the isotropic minimal length scale, which is close to $l_0\sim 10^{-9}$ m.