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We propose a Curvature Principle to describe the dynamics of interactinguniverses in a multi-universe scenario and show, in the context of a simplifiedmodel, how interaction drives the cosmological constant of one of the universestoward a vanishingly small value. We also conjecture on how the proposedCurvature Principle suggests a solution for the entropy paradox of a universewhere the cosmological constant vanishes.

A Curvature Principle for the interaction between universes