Kaivalyam is usually translated as aloneness (in the sense that the puruṣa has severed itself from prakṛti and her effects and is now situated in its own autonomous nature), but is perhaps better understood as wholeness.
Bryant argues that the standard rendering of kaivalya as mere ‘aloneness’ is inadequate, proposing ‘wholeness’ as a more philosophically accurate translation of the liberated puruṣa’s condition.
, The Yoga Sutras of Patanjali: A New Edition, Translation, and Commentary, 2009thesis