You said he did not have multiple wives. We know who his legitimate wife was, Cleo V, a greek woman. Cleopatra's half african sister came from where?
He had multiple children - with multiple women, that was my point. You are assuming Cleopatra was black based off what? Cleo V was greek.
Arsinoe's mother was black. That is why they call them half sisters.
No, we know he had a wife who was Greek and bore NO children. We don't know how many women bore him children after that, could just be 1. That is all we know. Nothing more. We don't know if they were half sisters. We do know Arsinoe was mulatto. There is no records detailing any distinction between any of the siblings. You're creating the narrative that they were half-sisters and she was fully Greek, renowned and studied scientist aren't making claims so bold, in fact they are saying it is probable she was half Black.