Yeah, not on this size they show on their video, it won't. Also people are terrified about everything that has a word nuclear in it, so unless people get over the fear of it, not that source of power. Also isn't a phone size itself smaller than the VHS tape, it seems every data carrier, he puts in it, never comes out, it just disappears.
PS : why they just don't integrate mobile to your laptop and all worries would be done. I mean everything you need is anyway in your laptop and it gots it's own source of power, only thing you can't usually do with it, is to call. ( though Skype exists but it hasn't just hit the waves so much)