In sufficiently nonlinear field theories there are extended objects whose number is strictly conserved because of continuity of the underlying field as a function of space. We call these kinks. Kinks provide a covariant description of extended but indestructible particles. We give the properties the field theory must possess in order for kinks to exist, and the circumstances under which kinks can have spin ½.
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David Finkelstein (1966) studied this question.
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