Having just watched the first two of four episodes of "The Fabric of the Cosmos", they theorise that the the only reason time has a direction is due to the big bang. They also point out that the universe (i.e. space) appears to be accelerating its expansion, and that this is attributable to a majority of dark energy that is unseen (and unknown and not regularly detectable) throughout the universe.
From the first episode (and stuff I remember from A Brief History of Time and other articles) it would seem to me that if the direction of time ("the arrow of time") was caused by the Big Bang, then much like the fact that space is expanding as a result of the Big Bang, perhaps time is continuing to move forward as a result of the Big Bang? Perhaps the perception of the universe continuing to expand is simply a result of the energy from the big bang spreading out and dissipating, and time itself is slowing down making it appear that the universe is speeding its expansion when in reality it could be receding or even slowing down? This could even be enough to account for the dark matter/energy that scientists feel necessary to invent to account for their observations.
I haven't got to the bottom of the nature of time, space and spacetime so this is probably clearly ridiculous for obvious reasons, but I wanted to note it down as an interesting thought, perhaps one I can later come back to refute when I understand more.