Bob-Rob raises good points.
I completely agree with Bob-Rob that there is no objective morality. However, as he pointed out, there *IS* a code of ethics that is logically consistent that can be used in place of objective morality: Non-Aggression. When some people are granted powers over others, it is not a consistent application of rights. "Rights" are, simply, actions that people can take that should not be limited by others. Thus, the people in power have more rights, necessarily. And, of course, those rights lay completely within the realm of forcing others to do things against their will. Therefore, governance, or "central authority," is completely contradictory to the notion of rights that are equally applied to all. However, when any concept of rights is applied equally and consistently to everyone, it invariably results in systems of non-aggression, where no one has any institutionalized power over any others. That is anarchy.
When you guys talk about the need for a "central authority to resolve matters," what you're actually saying is, "We need people with powers that are not granted to others." Please be clear about that. You are talking about voluntarily surrendering some of your ability to act so that others will act on your behalf, you hope. And that's the heart of the problem. When you surrender your power to others, all you have left to limit those people is hope or violence.
Don't get me wrong, the government certainly does provide needed services, but that's how they get their proverbial foot in the door. We can address these needs without central authorities. You seem to want a single answer for how the whole world is supposed to do this, though. There's no single way that any social construct in the world works, so why should anarchy have to satisfy this requirement when nothing else does? That's the singular truth that anarchy embraces: There is no single way for all people to live.
Once you use violence to force your will upon others, you no longer have any rational argument to dispute someone else using violence to force their will upon you. You've already established a doctrine of "Might makes right," which, again, is completely inconsistent with any sort of universally applied rights of people.