"Time heals all wounds" is so oversimplified, it fails to even be accurate. Time isn't the relevant element in healing. The Stoics are correct in asserting that is not in the events themselves, but how we perceive events, that we can shape their effect on us.
Time only allows for new experiences which will ultimately impact our perception of events, and allow us to find clarity or closure or a new way of viewing circumstances which we call "healing."
I think it was Kierkegaard who said something to the effect of "happiness is just a level of despair that we are willing to accept." I think he was wrong. I believe in sublime happiness, which often includes not an acceptance of despair, but a sense of gratitude or growth that periods of despair or what may once seem like unfortunate events can bring.
So my advice for the heartbroken is this: live.
Live. Add new experiences, focus most on those which tend to impact you most profoundly, whether through meeting new people or spending time and engaging in activities with those you already know, learn new things, expose yourself to new philosophies, find new faith, read books and watch films which will draw you in and find meaning in the journey of the characters, re-discover yourself, the beauty of nature, or in the energy of a city, whatever it may be - just live.
The heartbreak you feel today is based on all that has happened to you until today - all of your compiled experiences at the present moment. To change perception, one must change oneself, through experience and new understanding, and yes, this often takes time. Your heartbreak will become strength and enlightenment. The faster you can change your perception of events, the faster you will not be bothered by them.
"Take courage, my heart: you have been through worse than this. Be strong, saith my heart; I am a soldier; I have seen worse sights than this."
- Homer, the Odyssey
