Lorentz and gauge invariance of quantum space
- URL: http://arxiv.org/abs/2203.11699v2
- Date: Sun, 20 Aug 2023 08:10:33 GMT
- Title: Lorentz and gauge invariance of quantum space
- Authors: Ahmed Farag Ali, Barun Majumder, Prabir Rudra
- Abstract summary: We derive a discrete picture of the space that respects Lorentz symmetry as well as gauge symmetry.
This discreteness may explain the crystal and quasicrystal structures observed in nature at different energy scales.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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