Implication of the swampland distance conjecture on the Cohen-Kaplan-Nelson bound in de Sitter space

Understand

The Cohen-Kaplan-Nelson (CKN) bound formulates the condition that black hole is not produced by the low energy effective field theory dynamics.

• In de Sitter space it also constrains the maximal size of the matter distribution to be smaller than the cosmological horizon determined by black hole.
• On the other hand, the swampland distance conjecture (SDC) predicts that de Sitter space becomes unstable by the descent of the low energy degrees of freedom from UV.
• This results in the rapid increase in the energy inside the cosmological horizon, the distribution of which can be constrained by the CKN bound.