Mathematics – Logic
Scientific paper
Nov 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.2958a&link_type=abstract
Physical Review D (Particles and Fields), Volume 38, Issue 10, 15 November 1988, pp.2958-2962
Mathematics
Logic
11
Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
We translate the problem of finding the self-intersections of an evolving loop of cosmic string into a topological problem. We use this picture to discuss the relationship between cusps and self-intersections and give a lower bound on the total number of self-intersections any particular loop can have. This bound can be calculated by studying only the kinks and cusps present on the loop. We discuss the ways in which the number of cusps and self-intersections can change under smooth deformations of the initial conditions.
Albrecht Andreas
York Thomas
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