How is low information related to entropy?

Low information is intrinsically connected to the concept of entropy, particularly in the context of information theory. Entropy is a measure of uncertainty or disorder within a system. When there is low information about a system, it implies that the existing knowledge about the possible states of that system is limited, which inherently corresponds to high entropy.

High entropy means there is a greater degree of uncertainty or randomness associated with the information we have. If there is minimal information available, it signifies that the potential arrangements and outcomes of the system are many, leading to a more disordered state or higher entropy. Essentially, when information is scarce, it indicates that the system can exist in a wide range of states without being specifically defined, which directly correlates to high entropy.

In summary, low information aligns with high entropy because both concepts address the extent of knowledge and predictability regarding a system's state, with low information resulting in greater uncertainty and disorder.