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ŚB 5.11.13-14

क्षेत्रज्ञ आत्मा पुरुष: पुराण:
साक्षात्स्वयंज्योतिरज: परेश: ।
नारायणो भगवान् वासुदेव:
स्वमाययाऽऽत्मन्यवधीयमान: ॥ १३ ॥
यथानिल: स्थावरजङ्गमाना-
मात्मस्वरूपेण निविष्ट ईशेत् ।
एवं परो भगवान् वासुदेव:
क्षेत्रज्ञ आत्मेदमनुप्रविष्ट: ॥ १४ ॥
kṣetrajña ātmā puruṣaḥ purāṇaḥ
sākṣāt svayaṁ jyotir ajaḥ pareśaḥ
nārāyaṇo bhagavān vāsudevaḥ
sva-māyayātmany avadhīyamānaḥ
yathānilaḥ sthāvara-jaṅgamānām
ātma-svarūpeṇa niviṣṭa īśet
evaṁ paro bhagavān vāsudevaḥ
kṣetrajña ātmedam anupraviṣṭaḥ

Synonyms

kṣetra-jñaḥthe Supreme Personality of Godhead*; ātmāall-pervading, present everywhere; puruṣaḥthe unrestricted controller, who has unlimited power; purāṇaḥthe original; sākṣātperceivable by hearing from the authorities and by direct perception; svayampersonal; jyotiḥmanifesting His bodily rays (the Brahman effulgence); ajaḥnever born; pareśaḥthe Supreme Personality of Godhead; nārāyaṇaḥthe resting place of all living entities; bhagavānthe Personality of Godhead with six full opulences; vāsudevaḥthe shelter of everything, manifested and nonmanifest; sva-māyayāby His own potency; ātmaniin His own self, or in the ordinary living entities; avadhīyamānaḥexisting as the controller; yathāas much as; anilaḥthe air; sthāvaraof nonmoving living entities; jaṅgamānāmand of the moving living entities; ātma-svarūpeṇaby His expansion as the Supersoul; niviṣṭaḥentered; īśetcontrols; evamthus; paraḥtranscendental; bhagavānthe Supreme Personality of Godhead; vāsudevaḥthe shelter of everything; kṣetra-jñaḥknown as kṣetrajña; ātmāthe vital force; idamthis material world; anupraviṣṭaḥentered within.

Translation

There are two kinds of kṣetrajña — the living entity, as explained above, and the Supreme Personality of Godhead, who is explained as follows. He is the all-pervading cause of creation. He is full in Himself and is not dependent on others. He is perceived by hearing and direct perception. He is self-effulgent and does not experience birth, death, old age or disease. He is the controller of all the demigods, beginning with Lord Brahmā. He is called Nārāyaṇa, and He is the shelter of living entities after the annihilation of this material world. He is full of all opulences, and He is the resting place of everything material. He is therefore known as Vāsudeva, the Supreme Personality of Godhead. By His own potency, He is present within the hearts of all living entities, just as the air or vital force is within the bodies of all beings, moving and nonmoving. In this way He controls the body. In His partial feature, the Supreme Personality of Godhead enters all bodies and controls them.

Purport

This is confirmed in Bhagavad-gītā (15.15). Sarvasya cāhaṁ hṛdi sanniviṣṭo mattaḥ smṛtir jñānam apohanaṁ ca. Every living being is controlled by the supreme living being, Paramātmā, who resides within everyone’s heart. He is the puruṣa, the puruṣa-avatāra, who creates this material world. The first puruṣa-avatāra is Mahā-Viṣṇu, and that Mahā-Viṣṇu is the plenary portion of the plenary portion of the Supreme Personality of Godhead, Kṛṣṇa. Kṛṣṇa’s first expansion is Baladeva, and His next expansions are Vāsudeva, Saṅkarṣaṇa, Aniruddha and Pradyumna. Vāsudeva is the original cause of the brahmajyoti, and the brahmajyoti is the expansion of the rays of the body of Vāsudeva.
yasya prabhā prabhavato jagad-aṇḍa-koṭi-
koṭiṣv aśeṣa-vasudhādi-vibhūti-bhinnam
tad brahma niṣkalam anantam aśeṣa-bhūtaṁ
govindam ādi-puruṣaṁ tam ahaṁ bhajāmi
“I worship Govinda, the primeval Lord, who is endowed with great power. The glowing effulgence of His transcendental form is the impersonal Brahman, which is absolute, complete and unlimited and which displays the varieties of countless planets, with their different opulences, in millions and millions of universes.” (Brahma-saṁhitā 5.40) The Supreme Personality of Godhead is thus described in Bhagavad-gītā:
mayā tatam idaṁ sarvaṁ
jagad avyakta-mūrtinā
mat-sthāni sarva-bhūtāni
na cāhaṁ teṣv avasthitaḥ
“By Me, in My unmanifested form, this entire universe is pervaded. All beings are in Me, but I am not in them.” (Bg. 9.4)
This is the position of the plenary expansions of Kṛṣṇa as the all-pervading Vāsudeva, Saṅkarṣaṇa, Pradyumna and Aniruddha.