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By defining $Q$ as a function which realizes the energy transference betweenthe bulk and the boundary of spacetime, as we interprete it here in theframework of Ho\v{r}ava-Lifshitz (HL) cosmology, flat case, we discuss thevalidity of the second law of thermodynamics in the light of the sign changesof $Q$ (changes in the direction of energy transference) and its consequencesthrough the cosmic evolution, in particular, whether the thermal equilibriumbetween bulk and boundary is reached or not. Additionally, we discuss possiblephase transitions experienced by the bulk and the boundary (seen as signchanges in their heat capacities) through the cosmic evolution. The energydensity in the bulk is modeled under an holographic perspective. As far as weknow, currently there is not observational data on bulk-boundary interaction.

Bulk-Boundary interaction and the second law in Ho\v{r}ava-Lifshitz cosmology