Velocity of propagation of a~signal, and the space-time metric in nonlinear electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 55-66
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It is proved that, in nonlinear electrodynamics, the velocity of propagation of a small timedependent disturbance (which can be assumed to be a signal) in an external field depends on the strength of the field and can exceed the velocity of light in a vacuum. This implies that,
in an external field, the order (in time) of the emission and reception of a signal can depend
on the reference system if the usual Lorentz-transformation formula holds. The possibility
is considered of avoiding this contradiction by the introduction of a space-time metric dependent
on the field or by the introduction of a new selection principle permitting the exclusion
of nonlinear Lagrangians which allow signal velocities greater than the velocity of light.
@article{TMF_1970_2_1_a3,
author = {Dao Vong Dyc and Nguyen Van Hieu},
title = {Velocity of propagation of a~signal, and the space-time metric in nonlinear electrodynamics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {55--66},
publisher = {mathdoc},
volume = {2},
number = {1},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a3/}
}
TY - JOUR AU - Dao Vong Dyc AU - Nguyen Van Hieu TI - Velocity of propagation of a~signal, and the space-time metric in nonlinear electrodynamics JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1970 SP - 55 EP - 66 VL - 2 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a3/ LA - ru ID - TMF_1970_2_1_a3 ER -
%0 Journal Article %A Dao Vong Dyc %A Nguyen Van Hieu %T Velocity of propagation of a~signal, and the space-time metric in nonlinear electrodynamics %J Teoretičeskaâ i matematičeskaâ fizika %D 1970 %P 55-66 %V 2 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a3/ %G ru %F TMF_1970_2_1_a3
Dao Vong Dyc; Nguyen Van Hieu. Velocity of propagation of a~signal, and the space-time metric in nonlinear electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 55-66. http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a3/