Meanings of omniscient eye in English

I agreed wholeheartedly, wonder-struck that an omniscient eye hid within the unremarkable body before me.

Who could feel at ease under that omniscient eye?

Louis saw himself as an omniscient eye, imperiously seeing into the hearts and minds of his subjects.

But, however unwelcome an attendant, let them remember that an omniscient eye witnesses both their private transactions, and their public career.

The first was a collar; and the omniscient eye of the man of law perceived, wonderingly, the initials H. K. J. marked upon it.

The holy Babe gazed with omniscient eyes, holding forth tiny hands of omnipotence.