Jabba -
Hope you are having a great day!
Don't you see that in one sentence you've managed to completely confuse two separate concepts? You call the self both an entity and a process. It is not both things.
Just about everyone here agrees with the highlighted words. "Person" or "Self" is a convenient word for the very complicated process of a bunch of cells, working in unison with some other symbiotic species, in a generalized area of a couple square feet. The self/soul/person is the continuing process of all those parts, influenced by all manner of input. I am the four year-old Loss Leader only in that I have some of his memories. I have none of his thoughts or opinions (with the exception of thoughts about my sister of whom I was not in favor of in 1974 and remain unconvinced in 2016).
But you've thrown in the words in red - thing, entity - which are the exact opposite of the definition of a person/soul/self. We are not static things. There is no essential "Loss Leader-ness" that could have been pulled from my four year-old body and matched identically to my 45 year-old shambling wreck of a near-corpse.
Generously, you appear confused about this. The cynic might accuse you of trying to weasel in your "entity" concept so as to make your argument true by definition. Please try to understand this.