Is what is displayed in Turkish museums, attributed to the Prophet, may Allah bless him and grant him peace—such as his hair, turban, and sandals—authentic and proven?

It has not been authentically established to us that the relics in the Turkish museum are from the Messenger of Allah, peace and blessings be upon him. Therefore, we can neither definitively affirm nor deny their authenticity. It is advisable to inquire with the scholars there.