Svāṁśa means personal expansions. And another expansion is differential expansion.
Somebody's Kṛṣṇa's friend as servant, as tree, as water, as flower, as land, as cow's, as calf. So many ways. This is our business. But somehow or other we did not like to serve Kṛṣṇa. Therefore we have been put into the service of māyā in three modes of nature. Just like criminal. A criminal does not like to obey the laws of the state; therefore a criminal is put into the prison house and he's forced to abide by the law of the state. The state laws are there—either outside the prisonhouse or inside the prisonhouse. But one who does not obey ordinarily outside the jail the orders or the laws of the state is put into the prisonhouse. But he cannot avoid the laws of the state. That is not possible. Because a citizen means he must abide by the laws of the state.
Similarly, we are part and parcel of Kṛṣṇa, mamaivāṁśo jīva-bhūtaḥ (BG 15.7). I have explained many times. So as soon as we deny to render service to Kṛṣṇa, immediately the māyā is there, captures, "All right. You come here. You serve me." This is the position. Artificially you cannot become master. That is not our nature, and that will not be happy service for us-artificial. Artificial... I have given this example. Suppose with this finger I capture some very nice foodstuff, rasagullā, and if the finger thinks that "I have captured the rasagullā. I shall eat." No. You cannot eat. You must put here. And then you get the benefit. And if you spoil the rasagullā in your hand and don't put into the mouth, then everything is spoiled. Similarly, we are part and parcel of Kṛṣṇa. Our business is to satisfy Kṛṣṇa. Ekaṁ bahu syām. The Vedas, we understand God has become many. Many... In many ways we are also part and parcel of Kṛṣṇa. There are two kinds of manys. One many is called svāṁśa. Svāṁśa means personal expansions. And another expansion is differential expansion. The differential expansion are we, the living entities. We are also expansion of Kṛṣṇa, and the viṣṇu-tattva, They're personal expansions. But all of them are meant for serving Kṛṣṇa. That is explained in the Caitanya-caritāmṛta, ekale īśvara kṛṣṇa āra saba bhṛtya (CC Adi 5.142). Kṛṣṇa has expanded. The demigods, they are also living entities like us, but they have got better position. Just like here also in the government. Ordinary living... Everyone is citizen, but somebody has got better position as the minister, as the president or some big officer. Similarly, the demigods, they are also living entities. The same thing as we are but different body. Different... The dog has got the dog's body. He's hungry or there is some company, barking. And somebody has got minister body, he's ordering. He's in better position. And better than him somebody else, better than him somebody else, better than him somebody else. In this way you go up to Brahmā, Lord Brahmā. He also servant of Kṛṣṇa. That is the position.