Lorentz and gauge invariance of quantum space

被引：0

作者：

Ali, Ahmed Farag ^{[1
,2
]}

Majumder, Barun ^{[3
]}

Rudra, Prabir ^{[4
]}

机构：

[1] Essex Cty Coll, 303 Univ Ave, Newark, NJ 07102 USA

[2] Benha Univ, Dept Phys, Banha 13518, Egypt

[3] Univ Tennessee, Knoxville, TN 37996 USA

[4] Asutosh Coll, Dept Math, Kolkata 700026, India

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2023年 / 38卷 / 18-19期

关键词：

Lorentz; gauge invariance; quantum; generalized uncertainty principle; Dirac equation; GENERALIZED UNCERTAINTY PRINCIPLE; MINIMAL LENGTH UNCERTAINTY; PLANCK-SCALE PHYSICS; HIGHER-ORDER GUP; THERMODYNAMICS; DISCRETENESS; GRAVITY;

D O I：

10.1142/S0217751X23500999

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Motivated by the generalized uncertainty principle, we derive a discrete picture of the space that respects Lorentz symmetry as well as gauge symmetry by setting an equivalency between the linear Generalized Uncertainty Principle (GUP) correction term and electromagnetic interaction term in the Dirac equation. We derived a wave function solution that satisfies this equivalency. This discreteness may explain the crystal and quasicrystal structures observed in nature at different energy scales.

引用

页数：13

共 50 条

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