Time Dilation

[Devil Particle]

If you could travel near the speed of light, time would slow down. And as you approach the speed of light, the rate of time approaches zero. So if you could experience the world from the frame of reference of a photon wouldn't your motion across space be instantaneous?

[neufer]

If you could travel near the speed of light, time would slow down. And as you approach the speed of light, the rate of time approaches zero. So if you could experience the world from the frame of reference of a photon wouldn't your motion across space be instantaneous?

You would if you could but you can't so you won't.

However, in the frame of reference of a super relativistic cosmic ray you would appear to be traveling at ~c through an extremely flattened space. Hence, you could indeed travel almost instantaneously in your own time frame to anywhere you wanted although you could only travel to distant places in their own distant future. Or at least that would have been the case in a static universe. However, since the Universe is currently expanding exponentially the vast majority of the current Observable Universe will escape your grasp because it simply won't be there waiting around for you billions of years into its own distant future.