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The possessive pronoun "His" in the phrase 'ala ghaybihi evidently indicates God's exclusive knowledge of "that which is beyond the perception of any created being" (al-ghayb): hence the above, somewhat free, rendering of this truly untranslatable phrase.
The Unseen has two aspects. The relative Unseen is so with reference to a particular person, because of the intervention of Time, Space, or particular circumstances. For example, I cannot see to-day a house which I saw last year, because it has since been pulled down. Or I cannot in Lahore see the "Gateway of India" in Bombay, although any one in Bombay can see it. Or I cannot see the satellites of Jupiter with the naked eye, though I can through a telescope. But the Absolute Unseen, the Absolute Mystery, is something which no creature can know or see, except in so far as Allah reveals it to him. And Allah reveals such things to the extent that is good for men, through His chosen messengers, among whom the greatest is Muhammad. The exact time of the Hour of Judgment has not been so shown, because we must not wait for it, but live as if it is to be at this minute. See last note and next note, and the references there.