In Advaita tradition, the word "soul" is rightly used by some advaitins to refer to the mortal jiva or sookshma sharira that transmigrates to heaven, hell, various lokas or other physical bodies after the death of the physical sheath.
And these same advaitins rightly uses the word "SELF" to refer to the immortal pinch/drop of Brahman namely the Atman, which is infinite, omnipresent and immovable (non-transmigratory).
And I agree with the claims of these Advaitins, because Gita ch.2 v24 says, that it's uncleavable (meaning the infinite space known as Brahman CANNOT be cut into small parts that could be later put inside each physical bodies for post-death transmigratory purposes).
Gita ch.2 v24 also says that the eternal Atman/SELF/Drop (the animating factor) is actually -
Also Gita ch.13 - v16 ... (in some editions it's v17) says that, IT appears to be divided in each beings as separate sparks, and yet IT is actually undivided (implying that both the ocean Brahman and the drop Atman is all-pervasive, omnipresent, undivided and immovable that never transmigrates).
From what I've read so far, the only reason it "appears" to be divided as separate sparks is due to the sheaths or limiting adjuncts.
So then who does all the travelling if it's not Atman? As per my understanding it's the Jiva or sookshma sharira that does.
What are your thoughts on this? Only advaitins should answer please. Thank you.