Welcome to WebmasterWorld Guest from 126.96.36.199
Forum Moderators: phranque
To surf your site, the user's browser must first call the URLs. By definition, the browser must know what those URLs are; this information is stored on the user's computer before your server ever responds to the file calls.
To erase this record, you would have to hack into the user's computer and erase (or at least edit) the relevant files. I can't imagine any sensible person allowing you that sort of access.