In one of the central writings of Hinduism, the Bhagavad Gītā, we also have a core precedent for Hindu kama muta when Krishna says:
“Those who worship me with devotion [= bhakti],They are in me, and I in them.” [1]

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Jessica Frazier[2] writes that bhakti literally means “a sharing, a division, or the relation of a part or an attribute to something […]” and evokes “tantric notions of sharing one’s self with another.”

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Further Frazier quotes other researchers’ characterizations of bhakti: e.g. “participation”, “attachment, trust, and devotion” or “sharing of being”.

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[1]: Bhagavad Gita: Chapter 9, Verse 29 (one possible translation)
[2]: Frazier, J. (2013). Bhakti in Hindu cultures. The Journal of Hindu Studies, 6(2), 101-113.