If Omega* makes no reference to the original Omega, I don’t understand why they have “opposite behavior with respect to my status as being counterfactually-muggable” (by the original Omega), which was your reason for inventing “duality” in the first place. I apologize, but at this point it’s unclear to me that you actually have a proof of anything. Maybe we can take this discussion to email?
If Omega* makes no reference to the original Omega, I don’t understand why they have “opposite behavior with respect to my status as being counterfactually-muggable” (by the original Omega), which was your reason for inventing “duality” in the first place. I apologize, but at this point it’s unclear to me that you actually have a proof of anything. Maybe we can take this discussion to email?