Is smooth ground, such as bathroom floors and tiles, purified by the sun, wind, and dryness, or is it necessary to pour water on it? And is impurity on smooth objects such as mirrors and knives purified by wiping?

What you have mentioned about the purification of the earth by dryness from the sun and wind is the view of many scholars. It is the madhhab of the Hanafis and the choice of Ibn Taymiyyah, who also extend this ruling to what is attached to the earth, such as buildings and tiles. The correct view is that pouring water does not lead to the reappearance of the impurity, but rather purifies it. As for the purification of smooth surfaces by wiping, this is the madhhab of the Hanafis and one narration from Ahmad. They used as evidence that wiping removes the impurity from a smooth surface and it does not permeate it, and the actions of the Companions support this. However, the correct view is that blood is impure by consensus.