Hmm, Einstein defined time dilations, using Lorentz contraction as describing a symmetry, as I've read it?

Think of a event horizon, imagine yourself to be the 'far observer'. Will the man falling in to that event horizon 'freeze' for you at some stage? If you think he will, what informs you of that? Light? And what would you use lifting out his 'information' to you, being far away, once assuming he had finished those 'near infinite computations'? That same light, right?

Now turn it around. Be the guy at the event horizon instead, 'hovering' above a event horizon. Will the universe outside the gravity-well 'speed up', relative your local clock at the event horizon? If you think it will, who would you then like to make those near infinite computations? Yourself at that event horizon, or those far observers/universe 'speeding up' relative you?

The event horizon is a equivalence to a constant uniform acceleration here, so you should be able to exchange that for a rocket-ship.