COMMENTARY on 4:59
A. Yusuf Ali:

Translation:
O you who believe! Obey Allah, and obey the Messenger, and those charged with authority among you. 580 If you differ in anything among yourselves, refer it to Allah and His Messenger, if you do believe in Allah and the Last Day: That is best, and most suitable for final determination.
Commentary:

580  Uli al amr= those charged with authority or responsibility or decision, or the settlement of affairs. All ultimate authority rests in Allah. Prophets of Allah derive their authority from Him. As Islam makes no sharp division between sacred and secular affairs, it expects governments to he imbued with righteousness. Likewise Islam expects Muslims to respect the authority of such government for otherwise there can be no order or discipline. (R).

 

Muhammad Asad:

Translation:
O you who have attained to faith! Pay heed unto God, and pay heed unto the Apostle and unto those from among you 76 who have been entrusted with authority; and if you are at variance over any matter, refer it unto God and the Apostle, 77 if you [truly] believe in God and the Last Day. This is the best [for you], and best in the end. 78
Commentary:
76  I.e., from among the believers.
77  I.e., to the Qur’an and to the sunnah (the sayings and the practice) of the Prophet. See also verse 65 of this surah.
78  Read in conjunction with 3:26, which speaks of God as "the Lord of all dominion" - and therefore the ultimate source of all moral and political authority - the above passage lays down a fundamental rule of conduct for the individual believer as well as the conceptual basis for the conduct of the Islamic state. Political power is held in trust (amanah) from God; and His will, as manifested in the ordinances comprising the Law of Islam, is the real source of all sovereignty. The stress, in this context, on "those from among you who have been entrusted with authority" makes it clear that the holders of authority (ulu l-amr) in an Islamic state must be Muslims.