This ‘experience’ of Brahman of the act of recognizing itself has a technical name in Vedanta. It is ‘parAhantA’. ‘ahantA’ is the thought ‘I am’. When we wrongly think that our real ‘I’ is body-mind-intellect, it is called ‘ahantA’ - the word derived from ‘ahaM’.
When the supreme Absolute, which is the origin of all the ‘aham’s in the world, thinks of itself as ‘I’ it is supreme ‘ahantA’, that is, para-ahantA. In devotional literature, it is customary to call parAShakti the parAhantA form of ShivaM and thus arises the name ‘parAhantA-svarUpiNI’ for ambaal.