[KCFforecast]

How to solve any problem quickly: Program your computer to solve a problem in a million years time, then go for a travel at the speed of light, come back to your home and consult the solution of your problem, you have been traveling only a few days but your computer has been doing computation a million of years, so you now have the solution, a quick one.

Just alter that system to use the relative time to have computer working millions of years to solve problems for you and you can have the solution in days. Call it photon computation to give the system a name.

[StavrosK]

That's not "quickly". That's your consciousness slowing down to a rate of one day per million years.

[KCFforecast]

You don't solve the problem by yourself, that problem is solved for you on system A, in system A a million years have lapsed but in your life only a few days have passed.

[StavrosK]

I know, but that's not "quickly". It's just that time passes slowly for you. "Quickly" would be if my friends and family were still alive and the world were recognizable (and there) by the time I got back.

[KCFforecast]

Try this version instead: There is a rocket to be launched for people to upload problems to solve, the rocket travels in such a way that it is able to solve all the problems and come back to tell people the solution. The way it solves the problem is by orbiting around a tiny planet full of computers devoted to compute the problems they are communicated of. The problem seems to be how to locate the observers.

Edited: time dilation and computation: https://arxiv.org/pdf/0907.1579.pdf