स्वयमेव भवतीति स्वयंभूः ।'स एव स्वयमुद्बभौ' इति मानवं वचनम् ।सर्वेषामुपरि भवति, स्वयं भवतीति वा स्वयंभूः ।येषामुपरि भवति यश्चोपरि भवति तदुभयात्मना स्वयमेव भवतीति वा, 'परिभूः स्वयंभूः' इति मन्त्रवर्णात् ।अथवा, स्वयंभूः परमेश्वरः स्वयमेव स्वतन्त्रो भवति न परतन्त्रः, 'पराञ्चि खानि व्यतृणत्स्वयंभूः' इति मन्त्रवर्णात् ।शं सुखं भक्तानां भावयतीति शंभुः ।आदित्यमण्डलान्तःस्थो हिरण्मय पुरुषः आदित्यः ।द्वादशादित्येषु विष्णुर्वा, 'आदित्यानामहं विष्णुः' इत्युक्तः ।अदितेरखण्डिताया मह्या अयं पतिरिति वा, 'इयं वा अदितिः महीं देवीं विष्णुपत्नीम्' इति श्रुतेः ।यथा आदित्य एक एवानेकेषु जलभाजनेषु अनेकवत्प्रतिभासते, एवमनेकेषु शरीरेषु एक एव आत्मा अनेकवत्प्रतिभासत इति आदित्यसाधर्म्याद्वा आदित्यः ।पुष्करेणोपमिते अक्षिणी यस्येति पुष्कराक्षः ।महान्पूजितः स्वनो नादो वा श्रुतिलक्षणो यस्य सः महास्वनः ।'सन्महत्' इत्यादिना समासे कृते 'आन्महतः समानाधिकरणजातीययोः' इत्यादिना आत्त्वम् ।'अस्य महतो भूतस्य निःश्वसितमेतदृग्वेदो यजुर्वेदः' इति श्रुतेः ।आदिर्जन्म; निधनं विनाशः; तद्द्वयं यस्य न विद्यते सः अनादिनिधनः ।अनन्तादिरूपेण विश्वं बिभर्तीति धाता ।कर्मणां तत्फलानां च कर्ता विधाता; अनन्तादीनामपि धारकत्वाद्विशेषेण दधातीति वा ।धातुरुत्तमः इति नामैकं सविशेषणं सामानाधिकरण्येन; धातुर्विरिञ्चादुत्कृष्ट इति वा वैयधिकरण्येन; नामद्वयं वा; सर्वधातुभ्यः पृथिव्यादिभ्यः उत्कृष्टश्चिद्धातुरित्यर्थः ।कार्यकारणप्रपञ्चधारणाच्चिदेव धातुः ।उत्तमः सर्वेषामुद्गतानाम् अतिशयेनोद्गतत्वादुत्तमः ॥
In plain words
Svayambhū means self-born, for he manifests entirely by his own independent will, as the Manusmṛti declares: 'He shone forth by himself.' He transcends all and exists autonomously, as the Upanishadic verse proclaims: 'The self-born pierced the senses outward.' Śambhu is one who brings forth supreme joy and happiness for his devotees. Āditya is the golden person residing within the solar orb, or Vishnu among the Adityas, as Krishna declares in the Gītā. Just as the single sun is reflected as many in various vessels of water, so the one universal Self appears as many within different bodies. Puṣkarākṣa is the lotus-eyed Lord. Mahāsvana is the one whose majestic voice is the Veda itself, as scripture declares the Vedas to be the exhalation of the Supreme Being. Anādinidhana is one who has neither beginning nor end. Dhātā and Vidhātā are the sustainers and dispensers of the fruits of all actions. Dhātur Uttama refers to the Supreme Consciousness, which transcends all gross material elements like earth because it sustains the entire cosmos of cause and effect. He is Uttama because he surpasses all exalted beings in supreme eminence.
Close to the Sanskrit
Svayambhūḥ: because he becomes by himself, the human utterance 'He shone forth himself'; or because he exists above all and becomes by himself; or by both natures, from the mantra text 'Paribhūḥ svayambhūḥ'. Or Svayambhū is Parameśvara because he is independently self-existent, not dependent on another, from the mantra text 'The self-born pierced the senses outward'. Śambhuḥ: who brings about happiness and joy for devotees. Ādityaḥ: the golden person situated within the solar orb, or Vishnu among the twelve Adityas, as stated 'Of Adityas I am Vishnu'. Or because he is the lord of undivided Aditi (earth), as the śruti 'This earth is Aditi, the divine wife of Vishnu'. Just as the sun, being one, appears as many in multiple water vessels, so the one Self appears as many in multiple bodies—thus Āditya due to similarity with the sun. Puṣkarākṣaḥ: whose two eyes are compared to a lotus. Mahāsvanaḥ: whose great, worshipped sound or resonance is characterized by Veda; after compounding 'sa-mahat', by 'ānmahataḥ' rule 'āttvamp' is done, from the śruti 'The Ṛgveda and Yajurveda are the exhalation of this great being'. Anādinidhanaḥ: whose beginning (birth) and end (destruction) are not found. Dhātā: who supports the universe in the form of Ananta and others. Vidhātā: maker of actions and their fruits, or specifically holding since he is supporter even of Ananta and others. 'Dhātir Uttamaḥ': either one qualified name by co-reference (meaning the dhātu superior to Viriñci), or by difference of base as two names; meaning the consciousness-element superior to all elements like earth due to supporting the manifestation of cause and effect, consciousness alone is dhātu. Uttamaḥ: supreme, due to preeminent elevation above all exalted beings.