There are many other authoritative statements about Lord Caitanya's becoming Kṛṣṇa Himself. Idānīṁ kṛṣṇatām. Śuklo raktas tathā pīta idānīṁ kṛṣṇatāṁ gataḥ (SB 10.8.13). When Kṛṣṇa appeared, the nāma-karaṇa, when Gargamuni was ascertaining His name, he said that "This child, He has other colors," śuklo raktas tathā pīta. Pīta means yellow. That means some other Kali-yuga He appeared as Lord Caitanya. Idānīṁ kṛṣṇatāṁ gataḥ: "Therefore He should be named Kṛṣṇa." These things are there.
So Kṛṣṇa's appearance does not mean that He has become different. The nice example is set here by Baladeva Vidyābhūṣaṇa: just like a valuable stone. You take your hand . . . in your hand, you find sometimes yellow, sometimes red, sometimes white, like that. So, tava ceti mat-sakhatvat tavanti janmāni tavāpi abhut. "And because you are My eternal friend, so whenever I appear, you also appear."
Just like, those who are personal associates, whenever the chief boss goes, his personal assistants also go. That is natural. Similarly, when Kṛṣṇa comes, just like when a king goes somewhere, it does not mean he is going alone. He goes with all his paraphernalia, secretaries, minister and commander-in-chief and so many others. Similarly, whenever Kṛṣṇa comes, He does not come . . .
Just like in the Śrīmad-Bhāgavatam it is said, aham eva asam agre (SB 2.9.33): "I was in the beginning." The impersonalists interpret that "I was, personally," but that is not the fact. Nārāyaṇa, as soon as Nārāyaṇa was, means Nārāyaṇa was there with . . . not was there, Nārāyaṇa is there always with His all paraphernalia. And that is explained in the Śrīmad-Bhāgavatam, dhāmnā svena nirasta-kuhakaṁ sadā paraṁ satyaṁ dhīmahi (SB 1.1.1). Dhāmnā svena nirasta-kuhakam. The kingdom of God is freed from illusion. This world, this material world, is full of illusion. But dhāmnā svena nirasta-kuhakam. So God's kingdom, or Kṛṣṇa's kingdom, is spiritual. Everything will be explained one after another.