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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1972 Volume 13, Number 1, Pages 41–61 (Mi tmf3244)

This article is cited in 11 papers

On the minimal size of particles in the general theory of relativity

M. A. Markov, V. P. Frolov


Abstract: 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?

Received: 02.11.1971


 English version:
Theoretical and Mathematical Physics, 1972, 13:1, 965–979


© Steklov Math. Inst. of RAS, 2024