If there's a particular time of day when your ten kittens settle down to nap, you can call that their period of quiescence, or the time when they are all quiet and restful.

The noun quiescence looks similar to the word "quiet" for a good reason: quiescence is a quiet spell or state. It's used often to mean "dormancy," or the quieting of a symptom or a disease, such as the quiescence of a child's asthma symptoms during the winter months. The Latin root word is quies, which means "rest or quiet."

Definitions of quiescence

n a state of quiet (but possibly temporary) inaction

dormancy, quiescency
cessation from or slowing of activity during the winter; especially slowing of metabolism in some animals
aestivation, estivation
(zoology) cessation or slowing of activity during the summer; especially slowing of metabolism in some animals during a hot or dry period
a dormant or quiescent state
Type of:
inaction, inactiveness, inactivity
the state of being inactive

n quiet and inactive restfulness

dormancy, quiescency, sleeping
inactivity that is passive and monotonous, comparable to the inactivity of plant life
Type of:
ease, relaxation, repose, rest
freedom from activity (work or strain or responsibility)

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