A radio transmitter sends radio waves out into the universe. The tower may exist for only a few decades, but the signal emitted from it goes on forever and ever.
Why wouldn't it be true for human beings as well? We are batteries, electrochemical cells, which generate a voltage. As electricity moves around our body, it's sending out radio waves, and those waves are special, because they're modulated by consciousness.
I certainly don't claim to have all the answers. I do think, however, that there's a lot of reasons to expect some form of life after death. This is just one more reason.