Geodesic
Discrete Space-time and Lorentz Transformations
Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 123-135

Voir la notice de l'article provenant de la source Cambridge

DOI

Alfred Schild established conditions where Lorentz transformations map world-vectors $\left( ct,\,x,\,y,\,z \right)$ with integer coordinates onto vectors of the same kind. The problem was dealt with in the context of tensor and spinor calculus. Due to Schild’s number-theoretic arguments, the subject is also interesting when isolated from its physical background.Schild’s paper is not easy to understand. Therefore, we first present a streamlined version of his proof which is based on the use of null vectors. Then we present a purely algebraic proof that is somewhat shorter. Both proofs rely on the properties of Gaussian integers
DOI : 10.4153/CMB-2015-066-4
Mots-clés : 22E43, 20H99, 83A05, Lorentz transformation, integer lattice, Gaussian integers 
Jensen, Gerd; Pommerenke, Christian. Discrete Space-time and Lorentz Transformations. Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 123-135. doi: 10.4153/CMB-2015-066-4
@article{10_4153_CMB_2015_066_4,
     author = {Jensen, Gerd and Pommerenke, Christian},
     title = {Discrete {Space-time} and {Lorentz} {Transformations}},
     journal = {Canadian mathematical bulletin},
     pages = {123--135},
     year = {2016},
     volume = {59},
     number = {1},
     doi = {10.4153/CMB-2015-066-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-066-4/}
}
TY  - JOUR
AU  - Jensen, Gerd
AU  - Pommerenke, Christian
TI  - Discrete Space-time and Lorentz Transformations
JO  - Canadian mathematical bulletin
PY  - 2016
SP  - 123
EP  - 135
VL  - 59
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-066-4/
DO  - 10.4153/CMB-2015-066-4
ID  - 10_4153_CMB_2015_066_4
ER  - 
%0 Journal Article
%A Jensen, Gerd
%A Pommerenke, Christian
%T Discrete Space-time and Lorentz Transformations
%J Canadian mathematical bulletin
%D 2016
%P 123-135
%V 59
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-066-4/
%R 10.4153/CMB-2015-066-4
%F 10_4153_CMB_2015_066_4

Cité par Sources :