Actually, the above paragraph assumed that everyone now living would want to upload their minds into computronium. That assumption was way too optimistic. A significant percentage of the world's population is likely to want to remain in a physical body. This would require us to leave this planet mostly intact. Yes, it would be a terribly inefficient use of matter, from a utilitarian perspective, but it's a big universe. We can afford to leave this planet to the people who want to remain in a physical body. We can even afford to give them a few other planets too, if they really want. It's a big universe, plenty of room for everyone. Just so long as they don't force any other mind to suffer.
You could also almost certainly convert a considerable percentage of the planet's mass to computronium without impacting the planet's ability to support life. A planet isn't a very mass-efficient habitat, and I doubt many people would even notice if most of the core was removed, provided it was replaced with something structurally and electrodynamically equivalent.
You need the mass of the core to maintain the gravity. What sort of physics do you have in mind?
It has been claimed on this site that the fundamental question of rationality is "What do you believe, and why do you believe it?".
A good question it is, but I claim there is another of equal importance. I ask you, Less Wrong...
What are you doing?
And why are you doing it?