MB121, I think your problem stems from a misunderstanding of Rand’s theory of rights. With my underlining for emphasis, she says (CUI ch. 1) “I shall remind you also that the right to life is the source of all rights, including the right to property”, and ch. 10 “Any material element or resource which, in order to become of use or value to men, requires the application of human knowledge and effort, should be private property—by the right of those who apply the knowledge and effort.”. In ch. 11, “Patents and copyrights are the legal implementation of the base of all property rights: a man’s right to the product of his mind.” and “By the very nature of the right on which intellectual property is based—a man’s right to the product of his mind—that right ends with him.”. Then in the appendix, “The right to life is the source of all rights—and the right to property is their only implementation. Without property rights, no other rights are possible. Since man has to sustain his life by his own effort, the man who has no right to the product of his effort has no means to sustain his life.” Finally, from Galt’s speech: “Rights are conditions of existence required by man’s nature for his proper survival. If man is to live on earth, it is right for him to use his mind, it is right to act on his own free judgment, it is right to work for his values and to keep the product of his work. If life on earth is his purpose, he has a right to live as a rational being”
The right to property is not just the right to the physical objects which you assemble. That would undercut the broader right to sustain your life. To build a house of wood, you need wood. Do you have a right to cut down a tree and turn it into planks? Under the theory that you only have a right to the finished planks, you don’t have the right to harvest the tree in the woods. Similarly with adding water to dirt, or stones used to build a wall. Can a man shoot a deer to feed himself? He did not create the deer, so under the “creation creates rights” theory, he does not have a right to shoot the deer.
In short, man has a right to live; he has the non-contradictory right to take what is necessary to survive, and the right to that which he creates. You have to first understand why man has a right to own real estate; then we can address the question of homesteading laws and acre limits, if any. The answer was, historically, 160 acres, though now it is 0 since there is no unclaimed land. That value was set with reference to a hunter-gatherer mentality, and not with reference to the needs of modern mechanized farming and resource-exploitation. 160 acres is a hell of a lot of land to clear and plow using axes, mules and plows, but with gas-powered engines, that’s not so much. Farms are bigger than that now, because it’s possible to manage. The feds list over 21,000 farms of 5000 acres or more and almost half of current farms are larger than 160 acres, indicating that the 160 acre limit would be currently unrealistic – it would not reflect man’s potential. I’m not sure what that number would be, maybe 100,000 acres. This is something you have to determine with reference to the actual facts, and since there isn’t any unclaimed land in the US, we’d just be spculating. The question of colonizing other planets is a more realistic scenario.