Śrīmad-Bhāgavatam 10.45.29
Blended reading (Sanskrit + English inline)
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labdha - saṁskārau
—
having received initiation
Saṁskāra here = upanayana. The Lords are 'now initiated' — śāstra's grammar applied to Bhagavān without protest. Kṛṣṇa lets the rite have its proper effect even on Himself.
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dvijatvam prāpya
—
attaining twice-born status
Bhagavān becomes formally dvija. Gauḍīya commentators note: He who is Veda-puruṣa Himself accepts the predicate dvija within human līlā — śāstric humility absolute.
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gargāt
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from Garga Muni
Garga — the same ṛṣi who came to Nanda's house in SB 10.8 and revealed Kṛṣṇa's identity. Same teacher, second occasion. Continuity of ācārya bridges Vraja and Mathurā.
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yadu - kula - ācāryāt
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from the family priest of the Yadus
Kula-ācārya = clan teacher. Bhagavān goes to His own kula's recognized teacher; He does not invent novel authority. Gauḍīya dīkṣā tradition rests on this same principle of paramparā.
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gāyatram vratam
—
the gāyatrī vow / brahmacarya
Gāyatra here = the vow proper to gāyatrī-receivers, i.e., brahmacarya. Bhagavān, the source of all vrata, takes the brahmacāri-vrata for the duration of His Vedic education. The form is impeccable.
Both Śrīdhara Svāmī and Viśvanātha Cakravartī Ṭhākura explain the term gāyatraṁ vratam as the vow of brahmacarya, or celibacy in student life. Kṛṣṇa and Balarāma were playing the part of perfect students on the path of self-realization. Of course, in the modern, degraded age, student life has become a wild, animalistic affair filled with illicit sex and drugs.
Krsnsa and Balarama began to practice brahmacarya (gayatra).
Garga instructed them on the brahmacārya vow. He taught the boys about gāyatra (sāvitra), prājāpatya and brāhma brahmacārī vows. The gāyatra vow means three days of study. Prājāpatya means brahmacārī vows for one year, the beginning of studying the Vedas. Bṛahmā means vows until the Vedas are completely studied. Śrīdhara Svāmī says that in this case the word gāyatra simply means general observance of brahmacārya. They were fixed in their vows (suvratau).
Suvratau means they followed procedures described in tantra. They accepted the vow of giving everything. Garga instructed them on the brahmacārya vow. He taught the boys about gāyatra (sāvitra), prājāpatya and brāhma brahmacārī vows. The gāyatra vow means three days of study. Prājāpatya means brahmacārī vows for one year, the beginning of studying the Vedas. Bṛahmā means vows until the Vedas are completely studied. Śrīdhara Svāmī says that in this case the word gāyatra simply means general observance of brahmacārya. They were fixed in their vows (suvratau).
After upanayana, Kṛṣṇa and Balarāma take the gāyatra-vrata of celibacy from Garga Muni the way a sapling already perfumed in its core consents to be planted in formal soil — Garga is told by the soil's blessing that the planting is real.
Garga Muni is twice present in Canto 10 as the family ācārya of the Yadus. In SB 10.8 he secretly named the babies Kṛṣṇa and Balarāma at Nanda's house in Vraja, identifying Kṛṣṇa as Nārāyaṇa-comparable. Here in chapter 45 he reappears to confer the gāyatra-vrata.
Gauḍīyas mark Garga's two appearances as the named-and-vowed pair: he gives the boys their name in Vraja, and their dīkṣā-vrata in Mathurā. The continuity sanctifies both phases — Bhagavān's bhāva-life in Vraja and His Vedic-life in Mathurā belong to the same trajectory under one ācārya's witness.
My note
Source: vedabase.io