And I cannot accept that information cannot be transfered between two points faster than light would travel between two points... there must be a way
Sure. All you have to do is give up on causality.
If you can transmit information beyond the bounds of your light-cone, it's possible - even easy - to arrange for temporal paradoxes. These can include, for example, receiving information about your own future. Well, that's awkward, isn't it?
Consider a fairly simple case, adapted from Milton Rothman's classic 1980 article "On Faster-than-Light Paradoxes":
- A spaceship leaves Earth and travels away from it at a normal, subluminal speed, say 0.5c.
- The Earth and the spaceship have relative motion with a significant velocity, which means their reference frames are significantly shifted from one another.
- We assume some means of instantaneous communication. (This experiment works with any FTL communication; instantaneous is just a convenience.)
- At 12:00 on a particular day, Earth sends a message to the spaceship.
- Due to the difference in reference frames, when the spaceship receives that message, its onboard clock says that it's 10:00, not 12:00. If we had a universal frame of reference, we'd have to say that the message "went into the past".
- Now the spaceship echoes the message back to Earth. When does this reply arrive?
- Does the instantaneous communication channel work asymmetrically, so the spaceship's message arrives two hours later, Earth time, ie at 14:00?
- Does it work symmetrically, so the reply arrives two hours earlier, at 8:00?
Neither is acceptable. If the channel is asymmetric, then Earth is in a special frame of reference. The messages it sends "go into the past". Earth can put a timestamp on its messages to detect this special status. Now relativity is out the window, and we have to explain why Earth is in a special reference frame. (In any case, relativity is theoretically necessary - there are all sorts of problems if you try to assume a universal reference frame - and has been experimentally confirmed up the wazoo.)
If the channel is symmetric, then at 8:00 Earth receives a copy of the message it won't send for another four hours. Determining why that's bad is left as an exercise for the reader.
Of course, there are those SF authors (eg Charles Stross) who run with the latter idea, and write novels around the concept of causality-violation technology. Next to false vacuum collapse, though, that's about as bad-ass an apocalypse scenario as you can invent.