Alex McColgan

There's nothing here so far that imposes a speed limit on our model.

You should easily be able to go faster than the usual light speed limit.

With infinite energy, you could go 3 billion meters per second, or 3 trillion.

But in the real universe, we don't see that.

Everything normally seems to be capped at C.

There is a similar trend where the more energy you put in, the less additional speed you get, but that occurs at close to light speed, not infinite speed.

So our 4D model seems to have failed.

But this is not regular 4D space.

This is a hyperbolic 4D space.

Let's observe what happens when you try to travel at near infinite speeds when the lines start to bend.

Here you have zoomed along at a speed that's as fast as infinite as you can imagine.

Speed is a tricky little concept here, but let's say that from your perspective you covered a distance of 400 million meters in a second.

So, faster than the speed of light.

What happens?

Well, you hit this little curved line over here.

Although it is bent to be almost a C shape, if you follow the line down, you will see that it is a timeline, not a space line.

And because it is a hyperbolic space, there is more here than meets the eye.

Let's jump over to that point and see where we ended up.

Although in our movement vector, by our origin we only travelled one square high, by our end destination we have ended up at a point multiple squares high.

By taking a journey sideways, and by only experiencing a second of forward momentum through time ourselves, we have ended up many seconds into the future.