Unfortunately, remote viewing cannot be proved because, well... physically speaking... you are literally trapped inside your own body. No one can "join" you in there to witness what you are witnessing, we can't get a video feed of what's being seen through your mind. Every single person's mind is an astonishingly unique specimen of PHYSICAL changes that have taken place to create mental pathways and memories - meaning that even IF I could "jack into" your brain somehow, there is no "key" to decipher its contents except the one YOU have.
I want to comment on your reply to @Serpent Child to point something out about remote viewing.
It is true we can not jump into another's consciousness and study remote viewing in that manner. Science can still show that something paranormal to our current understanding is definitely occurring. I'll give a simplified example. Let's say you or I are asked to remote view a location and then after asked to choose which of five random places we thought we were viewing. We would be correct probably about 1/5=20% of the time just by chance. Now if an allegedly gifted remote viewer consistently scored more than 20% at a rate fantastically beyond chance (p<.01) then although we can't see the person's mechanism, we know beyond reasonable doubt that they are doing something paranormal.
In fact one of the biggest proponents of Remote Viewing (Jessica Utts) was not a parapsychologist at all but a renowned expert in applied statistics.
I will go as far as calling materialist scientists 'science deniers' when confronted with things inconvenient to their materialist paradigm.