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