Do I need dīkṣā (initiation) to chant a mantra?
not for God’s names and common prayers; specific bīja and tāntric mantras are traditionally received from a guru.
Names of God — “Rāma”, “Om Namaḥ Śivāya”, “Hare Kṛṣṇa”, “Om Namo Nārāyaṇāya”, “Jai Mātā Dī”, “Śrī Rāma Jaya Rāma Jaya Jaya Rāma” — and common prayers like the Hanumān Cālīsā are open to everyone. Saints of every tradition have urged people to chant them freely, at any time.
Dīkṣā is a formal initiation in which a guru gives a mantra, explains its discipline and takes responsibility for guiding you. Tāntric and bīja mantras (with syllables like hrīṁ, klīṁ, aiṁ) and certain Vedic and sampradāya mantras are traditionally chanted only after such initiation, because they are part of a specific path and practice.
If you feel drawn to a deeper practice, seek a genuine teacher in your tradition. Meanwhile, nāma-japa needs no permission and is considered complete in itself.
Nāma-japa is open to all · Source: bhakti and tāntric traditions
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