Discrete operator fields as~carriers of~causal spacetime structure. Internal symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 339-352

Voir la notice de l'article provenant de la source Math-Net.Ru

An attempt is made to set up a model of spacetime in the form of a discrete, causally ordered set of local elements – uniform sets of field operators. An algebraic description of the causal connection between two such elements that are nearest neighbors in accordance with the ordering is constructed by means of a specially formulated principle of correspondence with Lagrangian gauge theory. A necessary condition for the possibility of the construction is the requirement that the internal symmetry group be $SU(20)$, the spin $1/2$ fermions form a multiplet of dimension (190), and the spinless bosons a multiplet of dimension (35700). The possibility of interpreting the proposed special class of solutions of the constructed equation as a discrete spacetime net is discussed.
@article{TMF_1990_84_3_a1,
     author = {G. L. Stavraki},
     title = {Discrete operator fields as~carriers of~causal spacetime structure. {Internal} symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {339--352},
     publisher = {mathdoc},
     volume = {84},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a1/}
}
TY  - JOUR
AU  - G. L. Stavraki
TI  - Discrete operator fields as~carriers of~causal spacetime structure. Internal symmetry
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 339
EP  - 352
VL  - 84
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a1/
LA  - ru
ID  - TMF_1990_84_3_a1
ER  - 
%0 Journal Article
%A G. L. Stavraki
%T Discrete operator fields as~carriers of~causal spacetime structure. Internal symmetry
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 339-352
%V 84
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a1/
%G ru
%F TMF_1990_84_3_a1
G. L. Stavraki. Discrete operator fields as~carriers of~causal spacetime structure. Internal symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 339-352. http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a1/