Lorentz and gauge invariance of quantum space
arXiv:2203.11699 · doi:10.1142/S0217751X23500999
Abstract
Motivated by generalized uncertainty principle, we derive a discrete picture of the space that respects Lorentz symmetry as well as gauge symmetry through setting an equivalency between linear GUP correction term and electromagnetic interaction term in Dirac equation. We derived a wavefunction solution that satisfies this equivalency. This discreteness may explain the crystal and quasicrystal structures observed in nature at different energy scales.
16 pages, 2 figures, Accepted for Publication in International Journal of Modern Physics A