On the minimal size of particles in the general theory of relativity
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 41-61
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The question of the minimal size of particles in general relativity is considered. It is shown
that a neutral particle's mass vanishes when its size tends to zero. But a point limit is impossible
for an electrically charged particle. The minimal size of a particle allowed by its
charge is discussed, and it is shown that a point limit is impossible in Papapetrou's model.
In Euclidean space, the introduction of an extension of particles violates causality; it is shown
that the extension that arises in general relativity does not. Another question discussed is
this: is the total (inert) mass's being equal to the gravitating mass a condition under which the
gravitational interaction has a regularizing effect?
@article{TMF_1972_13_1_a1,
author = {M. A. Markov and V. P. Frolov},
title = {On the minimal size of particles in the general theory of relativity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {41--61},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {1972},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a1/}
}
TY - JOUR AU - M. A. Markov AU - V. P. Frolov TI - On the minimal size of particles in the general theory of relativity JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1972 SP - 41 EP - 61 VL - 13 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a1/ LA - ru ID - TMF_1972_13_1_a1 ER -
M. A. Markov; V. P. Frolov. On the minimal size of particles in the general theory of relativity. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 41-61. http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a1/