Libertarianism is not based on science. I have no reference for defending it. You have not posited a clear specific argument where AnCap is sustainable. The Wikipedia article mentions historical roots to related philosophies, but that's like saying we have a mission to Alpha Centauri planned because we went to the moon. I think your philosophy has a lot of development to do and probably requires a technological breakthrough of some sort before it should be attempted.
And still, you avoid stating how libertarianism fails to meet Maslow's needs. C'mon, chief. Out with it.
Here, I'll start you off. The only need which government has any role in providing is safety. AnCap provides that with protection agencies and arbitration/restitution, and a libertarian state provides that by it being the one service that it provides.