According to Shuhei Yoshida, President of Sony Computer Entertainment's Worldwide Studios, remote play is currently in alpha and is soon to come to PC and Mac.
This looks to be similar to Windows 10 and Xbox One. Streaming through your computer is the way of the future.
An unofficial app call remote play pc is currently out right now for $10 to stream your PS4, though at this early stag, there are reported bugs and glitches. We also don't know if we will be able to stream outside of home, though you can with the PS Vita over wifi.
Let's just wait and see.