Final answer:
The assertion that the Han Empire experienced a stable climate and environment during political unrest is false, as historical evidence shows that climate played a critical role in affecting political stability at the time.
Step-by-step explanation:
The statement that the Han Empire experienced a stable climate and environment amidst political unrest and rebellions is false. Historical evidence indicates that around 1050 BCE, major empires like Egypt and the Hittite Empire faced significant challenges due to drought, which affected their grain stores and social stability. These environmental disruptions support the notion that climate played a critical role in affecting political stability at the time. While the Han Dynasty did enjoy periods of stability and economic growth, it would be inaccurate to suggest that the entire span of the empire was free from environmental challenges.