Why does the curse of dimensionality occur?

There are several reasons why the curse of dimensionality occurs:

1. Increased complexity: As you add more dimensions, the vectors become more complex, and the number of possible unique vectors grows exponentially.
2. Reduced uniqueness: As the number of dimensions increases, the uniqueness of each vector decreases. This means that some vectors become identical, and it becomes harder to distinguish between them.
3. Increased storage requirements: Vector databases require significant storage space to store the vectors. As the number of dimensions increases, the storage requirements grow exponentially.