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Śrī Caitanya-caritāmṛta
The actions in the spiritual sky are manifested by the internal potency in pure spiritual existence. They expand in six transcendental opulences, which are all manifestations of Mahā-Saṅkarṣaṇa, who is the ultimate reservoir and objective of all living entities. Although belonging to the marginal potency known as  jīva-śakti , the spiritual sparks known as the living entities are subjected to the conditions of material energy. It is because these sparks are related with both the internal and external potencies of the Lord that they are known as belonging to the marginal potency.
In considering the quadruple forms of the absolute Personality of Godhead, known as Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha, the impersonalists, headed by Śrīpad Śaṅkarācārya, have interpreted the aphorisms of the  Vedānta-sūtra  in a way suitable for the impersonalist school. To provide the intrinsic import of such aphorisms, however, Śrīla Rūpa Gosvāmī, the leader of the six Gosvāmīs of Vṛndāvana, has properly replied to the impersonalists in his  Laghu-bhāgavatāmṛta , which is a natural commentary on the aphorisms of the  Vedānta-sūtra .
The  Padma Purāṇa , as quoted by Śrīla Rūpa Gosvāmī in his  Laghu-bhāgavatāmṛta , describes that in the spiritual sky there are four directions, corresponding to east, west, north and south, in which Vāsudeva, Saṅkarṣaṇa, Aniruddha and Pradyumna are situated. The same forms are also situated in the material sky. The  Padma Purāṇa  also describes a place in the spiritual sky known as Vedavatī-pura where Vāsudeva resides. In the Viṣṇuloka, which is above Satyaloka, Saṅkarṣaṇa resides. Mahā-Saṅkarṣaṇa is another name of Saṅkarṣaṇa. Pradyumna lives in Dvārakā-pura, and Aniruddha lies on the eternal bed of Śeśa, generally known as  ananta-śayyā , in the island called Śvetadvīpa in the ocean of milk.
TEXT 41
বাসুদেব-সঙ্কর্ষণ-প্রত্যুত্সানিক্রম ।
‘দ্বিতীয় চতুর্ব্যুহ’ এই—তুরীয়, বিশুদ্ধ ॥ ৪১ ॥
vāsudeva-saṅkarṣaṇa-pradyumnāniruddha  ‘dvitīya catur-vyūha’ ei—turīya, viśuddha
SYNONYMS
vāsudeva —the expansion named Vāsudeva;  saṅkarṣaṇa —the expansion named Saṅkarṣaṇa;  pradyumna —the expansion named Pradyumna;  aniruddha —the expansion named Aniruddha;  dvitīya catuḥ-vyūha —the second quadruple expansion;  ei —this;  turīya —transcendental;  viśuddha —free from all material contamination.
TRANSLATION
Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha constitute this second quadruple. They are purely transcendental.