Question: What is the difference between a plenary portion of Krishna and partial expansion of Krishna?
Answer by Romapada Swami:
Plenary portions of Krishna are direct expansions of Krishna. When Krishna expands, His expansion is a portion that is coming from Krishna, who is the source of everything. But at the same time, a plenary expansion is taken in a conventional sense to be non-different from Krishna. More technically, plenary portions are “almost equivalent” to the source.
A plenary portion – although it has manifested from the whole (Krsna – the source of all plenary portions and expansions) – still it is complete.
Below are few excerpts from Srila Prabhupada’s purport which explains further:
“There are different manifestations of the Lord. He is one, but He has become many. He divides Himself into two different expansions, one called kalā and the other vibhinnāṁśa. Ordinary living entities are called vibhinnāṁśa expansions, and the unlimited expansions of viṣṇu-tattva, such as Vāmana, Govinda, Nārāyaṇa, Pradyumna, Vāsudeva and Ananta, are called svāṁśa-kalā. Svāṁśa refers to a direct expansion, and kalā denotes an expansion from the expansion of the original Lord. Baladeva is an expansion of Kṛṣṇa, and from Baladeva the next expansion is Saṅkarṣaṇa; thus, Saṅkarṣaṇa is kalā, but Baladeva is svāṁśa. There is no difference, however, among Them. This is very nicely explained in the Brahma-saṁhitā (BS 5.38): dīpārcir eva hi daśāntaram abhyupetya.
With one candle one may light a second candle, with the second a third and then a fourth, and in this way one can light up thousands of candles, and no candle is inferior to another in distributing light. Every candle has the full potential candlepower, but there is still the distinction that one candle is the first, another the second, another the third and another the fourth. Similarly, there is no difference between the immediate expansion of the Lord and His secondary expansion.”
“The word aṁśena also indicates that the Supreme Personality of Godhead, Kṛṣṇa, appeared as Kapiladeva in a portion of His portion. God expands either as kalā or as aṁśa. Aṁśa means “direct expansion,” and kalā means “expansion of the expansion.” There is no difference between the expansion, the expansion of the expansion, and the Supreme Personality of Godhead directly, as there is no difference between one candle and another—but still the candle from which the others are lit is called the original. Kṛṣṇa, therefore, is called the Parabrahman, or the ultimate Godhead and cause of all causes.”
In SB 4.1.59 Translation:
That Nara-Nārāyaṇa Ṛṣi, who is a partial expansion of Kṛṣṇa, has now appeared in the dynasties of Yadu and Kuru, in the forms of Kṛṣṇa and Arjuna respectively, to mitigate the burden of the world.
In SB 4.1.59 Purport:
Nārāyaṇa is the Supreme Personality of Godhead, and Nara is a part of the Supreme Personality of Godhead, Nārāyaṇa. Thus the energy and the energetic together are the Supreme Personality of Godhead. Maitreya informed Vidura that Nara, the portion of Nārāyaṇa, had appeared in the family of the Kurus and that Nārāyaṇa, the plenary expansion of Kṛṣṇa, had come as Kṛṣṇa, the Supreme Personality of Godhead, with the purpose of delivering suffering humanity from the pangs of material burdens. In other words, Nārāyaṇa Ṛṣi was now present in the world in the forms of Kṛṣṇa and Arjuna.
From SB 4.1.59 translation and purport we find that plenary expansion and partial expansion are used interchangeably and that they both convey the same meaning.