Well, Jabba, color me impressed. Instead of simply adding some words on to "process" to allow you to ignore it and treat it as a thing, you've now graduated to simply redefining "process" to mean "thing".
It does not mean that.
A process cannot proceed only once any more than a car can go 60 mph only once. It has no identity to replicate.
Also, once again, there is no static sense of self. Are you the same person you were 40 years ago? Did that person love his grandchildren? Did he enjoy the same television shows? Did he spend the same amount of time on the internet? No, he didn't. You today are not the same "you" as existed forty years ago, nor will you be the same in forty minutes. The feeling that you are is an illusion developed over at least six hundred million years of evolution in order to cope with large amounts of data. That's all it is.