It is permissible to wear them without any belief in them! To believe that these gem stones have properties and can help you or harm you in anyway, it is Shirk, minor or major! I advice you to read the below link: http://islamqa.info/en/6759

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Wa alaikum salaam, I don’t give references due to lack of time, however, this is shirk and may nullify Islam to believe that dust will heal! Allah is the All Healer and not some dust from so called saints or peers.

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