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The cores of globular clusters do in fact eventually collapse.
It's the case of it happening later than sooner.
A large percentage of a globular's core stars are in binary star systems.
Newtonian physics predicts that a binary system can impart kinetic energy on neighbourhood stars that perturb the system.
This can delay the eventual collapse.
For the outlying stars the effect can be opposite. The kinetic energy gained by stars can strip the stars from the globular.
Regards
Steven
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