The funny thing is, we already have some experiments that do answer this. There was an experiment where two people wore glasses that projected other's physical

The funny thing is, we already have some experiments that do answer this. There was an experiment where two people wore glasses that projected other's physical view point and IIRC, it led to identity and gender confusion. (Unfortunately, I am not able to find that experiment link now). It seems like we have solid evidence that your brain maps your body, but the map is in your brain. You is the brain as it exists now seems to be a reasonable starting point and I would expect the philosopher to poke holes starting from that.