Which word better describes a chaotic state without government?

Anarchy is the term that most accurately describes a chaotic state without government. It originates from the Greek word "anarkhia," meaning "without a ruler." In anarchy, there is a lack of formal authority, which often leads to a disordered environment where individuals or groups operate without a governing structure. This can result in various forms of social interactions, ranging from cooperation to conflict, but the overarching theme remains the absence of a centralized governing body.

The other terms provided are unrelated to the concept of a lack of government. Appease refers to the act of pacifying or placating someone, typically by acceding to their demands, rather than describing a state of governance. Analogous refers to something that is comparable in certain respects, which does not relate to the absence of government. Apathy describes a state of indifference or lack of interest, which is also not connected to the idea of chaos or governance. Thus, anarchy is the term that best encapsulates the notion of a chaotic state without government.