I don't know if it would be classified as "pcottrauxology." It's basically HughRossology. : ) This view is held by many. I don't accept oldearthism, as it is only needed for evolution to occur. The fact that a carbon-14 isotope will completely decay in ~100,000 years seems to disprove the notion of an old earth.
Not if life didn't exist during those billions of years.
How? I don't see the connection at all.