Is it Islamically permissible to prostrate on carpets and rugs, given that the narrations regarding the Prophet's prayers on a mat did not specify the material of the mat, and some of them indicate that Aisha (may Allah be pleased with her) was lying on it? Are the narrations that permit this weak in their chain of transmission, while there are other hadiths that emphasize prostrating on the ground and dust?

It is permissible to prostrate on a rug or similar items placed on the ground, by consensus of the scholars. The difference of opinion only arises concerning the permissibility of prostrating on something that moves with the movement of the worshipper; the majority permit it, while the Shafi'is forbid it. As for the claim that prostration is only permissible on the ground or on what grows from it, excluding edibles and clothing, there is no evidence for it, nor has any reputable scholar held this view. Furthermore, the narration of Urwah ibn al-Zubayr from the Mother of the Believers, Aisha, may Allah be pleased with her, is authentic, and it is not a condition for a Tabi'i to have seen the Messenger of Allah, peace and blessings be upon him, for his narration from a Companion to be valid. The hadith "Let your face be covered with dust" does not indicate that prostration is obligatory only on dust; rather, it means to firmly place the forehead on the ground.