Plasma oscillations in a generalized Snyder space. (English. Russian original) Zbl 1482.83050
Theor. Math. Phys. 209, No. 2, 1643-1651 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 377-387 (2021).
Summary: 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.
MSC:
| 83C45 | Quantization of the gravitational field |
| 81S07 | Uncertainty relations, also entropic |
| 83C65 | Methods of noncommutative geometry in general relativity |
| 82D10 | Statistical mechanics of plasmas |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
Keywords:
phenomenology of quantum gravity; generalized uncertainty principle; minimal length; plasma oscillations; plasma frequencyReferences:
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